%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL027+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 19:44:51 EDT 2022
% Result : Theorem 114.78s 114.98s
% Output : CNFRefutation 116.34s
% 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(modular_law_1,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) ).
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,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_23,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
? [X0] :
( meet(complement(composition(X0,top)),one) != meet(complement(X0),one)
& join(X0,one) = one ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_25,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(complement(skolemFOFtoCNF_X0),one)
& join(skolemFOFtoCNF_X0,one) = one ),
inference(skolemize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
join(skolemFOFtoCNF_X0,one) = one,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_28,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
inference(canonicalize,[],[modular_law_1]) ).
fof(normalize_0_30,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(complement(skolemFOFtoCNF_X0),one),
inference(conjunct,[],[normalize_0_25]) ).
cnf(refute_0_0,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
meet(X0,join(zero,complement(X_27))) = complement(join(complement(X0),complement(join(zero,complement(X_27))))),
inference(subst,[],[refute_0_0:[bind(X1,$fot(join(zero,complement(X_27))))]]) ).
cnf(refute_0_2,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$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_24),complement(X_25)),complement(join(complement(X_24),complement(X_25)))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(join(complement(X_24),complement(X_25))))]]) ).
cnf(refute_0_5,plain,
meet(X_24,X_25) = complement(join(complement(X_24),complement(X_25))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_24)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_6,plain,
X = X,
introduced(tautology,[refl,[$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( $equal(X,X) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( meet(X_24,X_25) != complement(join(complement(X_24),complement(X_25)))
| complement(join(complement(X_24),complement(X_25))) = meet(X_24,X_25) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_24,X_25))),bind(Y,$fot(complement(join(complement(X_24),complement(X_25)))))]]) ).
cnf(refute_0_10,plain,
complement(join(complement(X_24),complement(X_25))) = meet(X_24,X_25),
inference(resolve,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_24),complement(X_25)))) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
( complement(join(complement(X_24),complement(X_25))) != meet(X_24,X_25)
| zero != meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))
| zero = meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))) ),[1,1],$fot(meet(X_24,X_25))]]) ).
cnf(refute_0_12,plain,
( zero != meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))
| zero = meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_24),complement(X_25))),meet(X_24,X_25)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
zero = meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_15,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_16,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
join(meet(X_24,X_25),complement(meet(X_24,X_25))) = top,
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_24,X_25)))]]) ).
cnf(refute_0_18,plain,
complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) = complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))))]]) ).
cnf(refute_0_19,plain,
( complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) != complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))
| join(meet(X_24,X_25),complement(meet(X_24,X_25))) != top
| complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_20,plain,
( join(meet(X_24,X_25),complement(meet(X_24,X_25))) != top
| complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_24,X_25),complement(meet(X_24,X_25))),top) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
meet(join(complement(X_24),complement(X_25)),X1) = complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(join(complement(X_24),complement(X_25))))]]) ).
cnf(refute_0_23,plain,
( complement(join(complement(X_24),complement(X_25))) != meet(X_24,X_25)
| meet(join(complement(X_24),complement(X_25)),X1) != complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1)))
| meet(join(complement(X_24),complement(X_25)),X1) = complement(join(meet(X_24,X_25),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_24),complement(X_25)),X1),complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1)))) ),[1,0,0],$fot(meet(X_24,X_25))]]) ).
cnf(refute_0_24,plain,
( meet(join(complement(X_24),complement(X_25)),X1) != complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1)))
| meet(join(complement(X_24),complement(X_25)),X1) = complement(join(meet(X_24,X_25),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_24),complement(X_25))),meet(X_24,X_25)) )],[refute_0_10,refute_0_23]) ).
cnf(refute_0_25,plain,
meet(join(complement(X_24),complement(X_25)),X1) = complement(join(meet(X_24,X_25),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_24),complement(X_25)),X1),complement(join(complement(join(complement(X_24),complement(X_25))),complement(X1)))) )],[refute_0_22,refute_0_24]) ).
cnf(refute_0_26,plain,
meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),
inference(subst,[],[refute_0_25:[bind(X1,$fot(meet(X_24,X_25)))]]) ).
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( $equal(Y,X) )],[refute_0_8,refute_0_27]) ).
cnf(refute_0_29,plain,
( complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) != complement(top)
| meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) != complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))
| meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = complement(top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)))),bind(Y,$fot(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_30,plain,
( complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))) != complement(top)
| meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),complement(join(meet(X_24,X_25),complement(meet(X_24,X_25))))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_24,X_25),complement(meet(X_24,X_25)))),complement(top)) )],[refute_0_21,refute_0_30]) ).
cnf(refute_0_32,plain,
( meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) != complement(top)
| zero != meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_33,plain,
( zero != meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),complement(top)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_24),complement(X_25)),meet(X_24,X_25))) )],[refute_0_13,refute_0_33]) ).
cnf(refute_0_35,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$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( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_2,refute_0_38]) ).
cnf(refute_0_40,plain,
meet(top,X_27) = complement(join(zero,complement(X_27))),
inference(subst,[],[refute_0_39:[bind(X1,$fot(X_27))]]) ).
cnf(refute_0_41,plain,
( meet(top,X_27) != complement(join(zero,complement(X_27)))
| complement(join(zero,complement(X_27))) = meet(top,X_27) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(top,X_27))),bind(Y,$fot(complement(join(zero,complement(X_27)))))]]) ).
cnf(refute_0_42,plain,
complement(join(zero,complement(X_27))) = meet(top,X_27),
inference(resolve,[$cnf( $equal(meet(top,X_27),complement(join(zero,complement(X_27)))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( complement(join(zero,complement(X_27))) != meet(top,X_27)
| meet(X0,join(zero,complement(X_27))) != complement(join(complement(X0),complement(join(zero,complement(X_27)))))
| meet(X0,join(zero,complement(X_27))) = complement(join(complement(X0),meet(top,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_27))),complement(join(complement(X0),complement(join(zero,complement(X_27)))))) ),[1,0,1],$fot(meet(top,X_27))]]) ).
cnf(refute_0_44,plain,
( meet(X0,join(zero,complement(X_27))) != complement(join(complement(X0),complement(join(zero,complement(X_27)))))
| meet(X0,join(zero,complement(X_27))) = complement(join(complement(X0),meet(top,X_27))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_27))),meet(top,X_27)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
meet(X0,join(zero,complement(X_27))) = complement(join(complement(X0),meet(top,X_27))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_27))),complement(join(complement(X0),complement(join(zero,complement(X_27)))))) )],[refute_0_1,refute_0_44]) ).
cnf(refute_0_46,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_47,plain,
join(zero,join(zero,X_65)) = join(join(zero,zero),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(zero)),bind(X1,$fot(zero)),bind(X2,$fot(X_65))]]) ).
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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_48,refute_0_54]) ).
cnf(refute_0_56,plain,
join(complement(X_21),composition(converse(one),complement(composition(one,X_21)))) = complement(X_21),
inference(subst,[],[refute_0_55:[bind(X0,$fot(one)),bind(X1,$fot(X_21))]]) ).
cnf(refute_0_57,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_58,plain,
converse(composition(converse(X0),X_14)) = composition(converse(X_14),converse(converse(X0))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_59,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_60,plain,
( converse(composition(converse(X0),X_14)) != composition(converse(X_14),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_14)) = composition(converse(X_14),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_14)),composition(converse(X_14),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_61,plain,
( converse(composition(converse(X0),X_14)) != composition(converse(X_14),converse(converse(X0)))
| converse(composition(converse(X0),X_14)) = composition(converse(X_14),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
converse(composition(converse(X0),X_14)) = composition(converse(X_14),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_14)),composition(converse(X_14),converse(converse(X0)))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
converse(composition(converse(X_15),one)) = composition(converse(one),X_15),
inference(subst,[],[refute_0_62:[bind(X0,$fot(X_15)),bind(X_14,$fot(one))]]) ).
cnf(refute_0_64,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_65,plain,
composition(converse(X_15),one) = converse(X_15),
inference(subst,[],[refute_0_64:[bind(X0,$fot(converse(X_15)))]]) ).
cnf(refute_0_66,plain,
( composition(converse(X_15),one) != converse(X_15)
| converse(composition(converse(X_15),one)) != composition(converse(one),X_15)
| converse(converse(X_15)) = composition(converse(one),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_15),one)),composition(converse(one),X_15)) ),[0,0],$fot(converse(X_15))]]) ).
cnf(refute_0_67,plain,
( converse(composition(converse(X_15),one)) != composition(converse(one),X_15)
| converse(converse(X_15)) = composition(converse(one),X_15) ),
inference(resolve,[$cnf( $equal(composition(converse(X_15),one),converse(X_15)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
converse(converse(X_15)) = composition(converse(one),X_15),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_15),one)),composition(converse(one),X_15)) )],[refute_0_63,refute_0_67]) ).
cnf(refute_0_69,plain,
converse(converse(X_15)) = X_15,
inference(subst,[],[refute_0_59:[bind(X0,$fot(X_15))]]) ).
cnf(refute_0_70,plain,
( converse(converse(X_15)) != X_15
| converse(converse(X_15)) != composition(converse(one),X_15)
| X_15 = composition(converse(one),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_15)),composition(converse(one),X_15)) ),[0],$fot(X_15)]]) ).
cnf(refute_0_71,plain,
( converse(converse(X_15)) != composition(converse(one),X_15)
| X_15 = composition(converse(one),X_15) ),
inference(resolve,[$cnf( $equal(converse(converse(X_15)),X_15) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
X_15 = composition(converse(one),X_15),
inference(resolve,[$cnf( $equal(converse(converse(X_15)),composition(converse(one),X_15)) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_64:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_74,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_72:[bind(X_15,$fot(one))]]) ).
cnf(refute_0_75,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_8:[bind(X,$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( $equal(one,converse(one)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
composition(converse(one),X_15) = composition(converse(one),X_15),
introduced(tautology,[refl,[$fot(composition(converse(one),X_15))]]) ).
cnf(refute_0_83,plain,
( composition(converse(one),X_15) != composition(converse(one),X_15)
| converse(one) != one
| composition(converse(one),X_15) = composition(one,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_15),composition(converse(one),X_15)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_84,plain,
( converse(one) != one
| composition(converse(one),X_15) = composition(one,X_15) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_15),composition(converse(one),X_15)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
composition(converse(one),X_15) = composition(one,X_15),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
( X_15 != composition(converse(one),X_15)
| composition(converse(one),X_15) != composition(one,X_15)
| X_15 = composition(one,X_15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_15,composition(one,X_15)) ),[0],$fot(composition(converse(one),X_15))]]) ).
cnf(refute_0_87,plain,
( X_15 != composition(converse(one),X_15)
| X_15 = composition(one,X_15) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_15),composition(one,X_15)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
X_15 = composition(one,X_15),
inference(resolve,[$cnf( $equal(X_15,composition(converse(one),X_15)) )],[refute_0_72,refute_0_87]) ).
cnf(refute_0_89,plain,
X_21 = composition(one,X_21),
inference(subst,[],[refute_0_88:[bind(X_15,$fot(X_21))]]) ).
cnf(refute_0_90,plain,
( X_21 != composition(one,X_21)
| composition(one,X_21) = X_21 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_21)),bind(Y,$fot(composition(one,X_21)))]]) ).
cnf(refute_0_91,plain,
composition(one,X_21) = X_21,
inference(resolve,[$cnf( $equal(X_21,composition(one,X_21)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( composition(one,X_21) != X_21
| join(complement(X_21),composition(converse(one),complement(composition(one,X_21)))) != complement(X_21)
| join(complement(X_21),composition(converse(one),complement(X_21))) = complement(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_21),composition(converse(one),complement(composition(one,X_21)))),complement(X_21)) ),[0,1,1,0],$fot(X_21)]]) ).
cnf(refute_0_93,plain,
( join(complement(X_21),composition(converse(one),complement(composition(one,X_21)))) != complement(X_21)
| join(complement(X_21),composition(converse(one),complement(X_21))) = complement(X_21) ),
inference(resolve,[$cnf( $equal(composition(one,X_21),X_21) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
join(complement(X_21),composition(converse(one),complement(X_21))) = complement(X_21),
inference(resolve,[$cnf( $equal(join(complement(X_21),composition(converse(one),complement(composition(one,X_21)))),complement(X_21)) )],[refute_0_56,refute_0_93]) ).
cnf(refute_0_95,plain,
( X_15 != composition(one,X_15)
| composition(one,X_15) = X_15 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_15)),bind(Y,$fot(composition(one,X_15)))]]) ).
cnf(refute_0_96,plain,
composition(one,X_15) = X_15,
inference(resolve,[$cnf( $equal(X_15,composition(one,X_15)) )],[refute_0_88,refute_0_95]) ).
cnf(refute_0_97,plain,
composition(one,complement(X_21)) = complement(X_21),
inference(subst,[],[refute_0_96:[bind(X_15,$fot(complement(X_21)))]]) ).
cnf(refute_0_98,plain,
composition(converse(one),complement(X_21)) = composition(converse(one),complement(X_21)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_21)))]]) ).
cnf(refute_0_99,plain,
( composition(converse(one),complement(X_21)) != composition(converse(one),complement(X_21))
| converse(one) != one
| composition(converse(one),complement(X_21)) = composition(one,complement(X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_21)),composition(converse(one),complement(X_21))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_100,plain,
( converse(one) != one
| composition(converse(one),complement(X_21)) = composition(one,complement(X_21)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_21)),composition(converse(one),complement(X_21))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
composition(converse(one),complement(X_21)) = composition(one,complement(X_21)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_100]) ).
cnf(refute_0_102,plain,
( composition(converse(one),complement(X_21)) != composition(one,complement(X_21))
| composition(one,complement(X_21)) != complement(X_21)
| composition(converse(one),complement(X_21)) = complement(X_21) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(one),complement(X_21)))),bind(Y,$fot(composition(one,complement(X_21)))),bind(Z,$fot(complement(X_21)))]]) ).
cnf(refute_0_103,plain,
( composition(one,complement(X_21)) != complement(X_21)
| composition(converse(one),complement(X_21)) = complement(X_21) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_21)),composition(one,complement(X_21))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
composition(converse(one),complement(X_21)) = complement(X_21),
inference(resolve,[$cnf( $equal(composition(one,complement(X_21)),complement(X_21)) )],[refute_0_97,refute_0_103]) ).
cnf(refute_0_105,plain,
join(complement(X_21),composition(converse(one),complement(X_21))) = join(complement(X_21),composition(converse(one),complement(X_21))),
introduced(tautology,[refl,[$fot(join(complement(X_21),composition(converse(one),complement(X_21))))]]) ).
cnf(refute_0_106,plain,
( composition(converse(one),complement(X_21)) != complement(X_21)
| join(complement(X_21),composition(converse(one),complement(X_21))) != join(complement(X_21),composition(converse(one),complement(X_21)))
| join(complement(X_21),composition(converse(one),complement(X_21))) = join(complement(X_21),complement(X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_21),composition(converse(one),complement(X_21))),join(complement(X_21),composition(converse(one),complement(X_21)))) ),[1,1],$fot(complement(X_21))]]) ).
cnf(refute_0_107,plain,
( composition(converse(one),complement(X_21)) != complement(X_21)
| join(complement(X_21),composition(converse(one),complement(X_21))) = join(complement(X_21),complement(X_21)) ),
inference(resolve,[$cnf( $equal(join(complement(X_21),composition(converse(one),complement(X_21))),join(complement(X_21),composition(converse(one),complement(X_21)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
join(complement(X_21),composition(converse(one),complement(X_21))) = join(complement(X_21),complement(X_21)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_21)),complement(X_21)) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
( join(complement(X_21),composition(converse(one),complement(X_21))) != complement(X_21)
| join(complement(X_21),composition(converse(one),complement(X_21))) != join(complement(X_21),complement(X_21))
| join(complement(X_21),complement(X_21)) = complement(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_21),composition(converse(one),complement(X_21))),complement(X_21)) ),[0],$fot(join(complement(X_21),complement(X_21)))]]) ).
cnf(refute_0_110,plain,
( join(complement(X_21),composition(converse(one),complement(X_21))) != complement(X_21)
| join(complement(X_21),complement(X_21)) = complement(X_21) ),
inference(resolve,[$cnf( $equal(join(complement(X_21),composition(converse(one),complement(X_21))),join(complement(X_21),complement(X_21))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
join(complement(X_21),complement(X_21)) = complement(X_21),
inference(resolve,[$cnf( $equal(join(complement(X_21),composition(converse(one),complement(X_21))),complement(X_21)) )],[refute_0_94,refute_0_110]) ).
cnf(refute_0_112,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_0_111:[bind(X_21,$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( $equal(join(zero,complement(top)),complement(top)) )],[refute_0_115,refute_0_124]) ).
cnf(refute_0_126,plain,
( join(zero,join(zero,X_65)) != join(join(zero,zero),X_65)
| join(zero,zero) != zero
| join(zero,join(zero,X_65)) = join(zero,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_65)),join(join(zero,zero),X_65)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_127,plain,
( join(zero,join(zero,X_65)) != join(join(zero,zero),X_65)
| join(zero,join(zero,X_65)) = join(zero,X_65) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
join(zero,join(zero,X_65)) = join(zero,X_65),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_65)),join(join(zero,zero),X_65)) )],[refute_0_47,refute_0_127]) ).
cnf(refute_0_129,plain,
join(zero,join(zero,complement(complement(X_31)))) = join(zero,complement(complement(X_31))),
inference(subst,[],[refute_0_128:[bind(X_65,$fot(complement(complement(X_31))))]]) ).
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( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_134,refute_0_146]) ).
cnf(refute_0_148,plain,
X_31 = join(meet(X_31,complement(X_31)),complement(join(complement(X_31),complement(X_31)))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_31)),bind(X1,$fot(complement(X_31)))]]) ).
cnf(refute_0_149,plain,
join(complement(X_31),complement(X_31)) = complement(X_31),
inference(subst,[],[refute_0_111:[bind(X_21,$fot(X_31))]]) ).
cnf(refute_0_150,plain,
( X_31 != join(meet(X_31,complement(X_31)),complement(join(complement(X_31),complement(X_31))))
| join(complement(X_31),complement(X_31)) != complement(X_31)
| X_31 = join(meet(X_31,complement(X_31)),complement(complement(X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(X_31,join(meet(X_31,complement(X_31)),complement(join(complement(X_31),complement(X_31))))) ),[1,1,0],$fot(complement(X_31))]]) ).
cnf(refute_0_151,plain,
( X_31 != join(meet(X_31,complement(X_31)),complement(join(complement(X_31),complement(X_31))))
| X_31 = join(meet(X_31,complement(X_31)),complement(complement(X_31))) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),complement(X_31)),complement(X_31)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
X_31 = join(meet(X_31,complement(X_31)),complement(complement(X_31))),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,complement(X_31)),complement(join(complement(X_31),complement(X_31))))) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
join(complement(complement(X_31)),zero) = join(zero,complement(complement(X_31))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_31))))]]) ).
cnf(refute_0_154,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_155,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_3,refute_0_154]) ).
cnf(refute_0_156,plain,
meet(X_31,complement(X_31)) = zero,
inference(subst,[],[refute_0_155:[bind(X0,$fot(X_31))]]) ).
cnf(refute_0_157,plain,
join(complement(complement(X_31)),meet(X_31,complement(X_31))) = join(complement(complement(X_31)),meet(X_31,complement(X_31))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_31)),meet(X_31,complement(X_31))))]]) ).
cnf(refute_0_158,plain,
( join(complement(complement(X_31)),meet(X_31,complement(X_31))) != join(complement(complement(X_31)),meet(X_31,complement(X_31)))
| meet(X_31,complement(X_31)) != zero
| join(complement(complement(X_31)),meet(X_31,complement(X_31))) = join(complement(complement(X_31)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_31)),meet(X_31,complement(X_31))),join(complement(complement(X_31)),meet(X_31,complement(X_31)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_159,plain,
( meet(X_31,complement(X_31)) != zero
| join(complement(complement(X_31)),meet(X_31,complement(X_31))) = join(complement(complement(X_31)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_31)),meet(X_31,complement(X_31))),join(complement(complement(X_31)),meet(X_31,complement(X_31)))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
join(complement(complement(X_31)),meet(X_31,complement(X_31))) = join(complement(complement(X_31)),zero),
inference(resolve,[$cnf( $equal(meet(X_31,complement(X_31)),zero) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
( join(complement(complement(X_31)),meet(X_31,complement(X_31))) != join(complement(complement(X_31)),zero)
| join(complement(complement(X_31)),zero) != join(zero,complement(complement(X_31)))
| join(complement(complement(X_31)),meet(X_31,complement(X_31))) = join(zero,complement(complement(X_31))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(X_31)),meet(X_31,complement(X_31))))),bind(Y,$fot(join(complement(complement(X_31)),zero))),bind(Z,$fot(join(zero,complement(complement(X_31)))))]]) ).
cnf(refute_0_162,plain,
( join(complement(complement(X_31)),zero) != join(zero,complement(complement(X_31)))
| join(complement(complement(X_31)),meet(X_31,complement(X_31))) = join(zero,complement(complement(X_31))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_31)),meet(X_31,complement(X_31))),join(complement(complement(X_31)),zero)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
join(complement(complement(X_31)),meet(X_31,complement(X_31))) = join(zero,complement(complement(X_31))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_31)),zero),join(zero,complement(complement(X_31)))) )],[refute_0_153,refute_0_162]) ).
cnf(refute_0_164,plain,
join(meet(X_31,complement(X_31)),complement(complement(X_31))) = join(complement(complement(X_31)),meet(X_31,complement(X_31))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(complement(X_31)))),bind(X1,$fot(meet(X_31,complement(X_31))))]]) ).
cnf(refute_0_165,plain,
( join(complement(complement(X_31)),meet(X_31,complement(X_31))) != join(zero,complement(complement(X_31)))
| join(meet(X_31,complement(X_31)),complement(complement(X_31))) != join(complement(complement(X_31)),meet(X_31,complement(X_31)))
| join(meet(X_31,complement(X_31)),complement(complement(X_31))) = join(zero,complement(complement(X_31))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_31,complement(X_31)),complement(complement(X_31))))),bind(Y,$fot(join(complement(complement(X_31)),meet(X_31,complement(X_31))))),bind(Z,$fot(join(zero,complement(complement(X_31)))))]]) ).
cnf(refute_0_166,plain,
( join(complement(complement(X_31)),meet(X_31,complement(X_31))) != join(zero,complement(complement(X_31)))
| join(meet(X_31,complement(X_31)),complement(complement(X_31))) = join(zero,complement(complement(X_31))) ),
inference(resolve,[$cnf( $equal(join(meet(X_31,complement(X_31)),complement(complement(X_31))),join(complement(complement(X_31)),meet(X_31,complement(X_31)))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
join(meet(X_31,complement(X_31)),complement(complement(X_31))) = join(zero,complement(complement(X_31))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_31)),meet(X_31,complement(X_31))),join(zero,complement(complement(X_31)))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
( X_31 != join(meet(X_31,complement(X_31)),complement(complement(X_31)))
| join(meet(X_31,complement(X_31)),complement(complement(X_31))) != join(zero,complement(complement(X_31)))
| X_31 = join(zero,complement(complement(X_31))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_31,join(zero,complement(complement(X_31)))) ),[0],$fot(join(meet(X_31,complement(X_31)),complement(complement(X_31))))]]) ).
cnf(refute_0_169,plain,
( X_31 != join(meet(X_31,complement(X_31)),complement(complement(X_31)))
| X_31 = join(zero,complement(complement(X_31))) ),
inference(resolve,[$cnf( $equal(join(meet(X_31,complement(X_31)),complement(complement(X_31))),join(zero,complement(complement(X_31)))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
X_31 = join(zero,complement(complement(X_31))),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,complement(X_31)),complement(complement(X_31)))) )],[refute_0_152,refute_0_169]) ).
cnf(refute_0_171,plain,
( X_31 != join(zero,complement(complement(X_31)))
| join(zero,complement(complement(X_31))) = X_31 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_31)),bind(Y,$fot(join(zero,complement(complement(X_31)))))]]) ).
cnf(refute_0_172,plain,
join(zero,complement(complement(X_31))) = X_31,
inference(resolve,[$cnf( $equal(X_31,join(zero,complement(complement(X_31)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
( join(zero,complement(complement(X_31))) != X_31
| join(zero,join(zero,complement(complement(X_31)))) != join(zero,complement(complement(X_31)))
| join(zero,X_31) = join(zero,complement(complement(X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,complement(complement(X_31)))),join(zero,complement(complement(X_31)))) ),[0,1],$fot(X_31)]]) ).
cnf(refute_0_174,plain,
( join(zero,join(zero,complement(complement(X_31)))) != join(zero,complement(complement(X_31)))
| join(zero,X_31) = join(zero,complement(complement(X_31))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_31))),X_31) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
join(zero,X_31) = join(zero,complement(complement(X_31))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,complement(complement(X_31)))),join(zero,complement(complement(X_31)))) )],[refute_0_129,refute_0_174]) ).
cnf(refute_0_176,plain,
( join(zero,X_31) != join(zero,complement(complement(X_31)))
| join(zero,complement(complement(X_31))) != X_31
| join(zero,X_31) = X_31 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_31),X_31) ),[0],$fot(join(zero,complement(complement(X_31))))]]) ).
cnf(refute_0_177,plain,
( join(zero,X_31) != join(zero,complement(complement(X_31)))
| join(zero,X_31) = X_31 ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_31))),X_31) )],[refute_0_172,refute_0_176]) ).
cnf(refute_0_178,plain,
join(zero,X_31) = X_31,
inference(resolve,[$cnf( $equal(join(zero,X_31),join(zero,complement(complement(X_31)))) )],[refute_0_175,refute_0_177]) ).
cnf(refute_0_179,plain,
join(zero,complement(X_27)) = complement(X_27),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(complement(X_27)))]]) ).
cnf(refute_0_180,plain,
meet(X0,join(zero,complement(X_27))) = meet(X0,join(zero,complement(X_27))),
introduced(tautology,[refl,[$fot(meet(X0,join(zero,complement(X_27))))]]) ).
cnf(refute_0_181,plain,
( join(zero,complement(X_27)) != complement(X_27)
| meet(X0,join(zero,complement(X_27))) != meet(X0,join(zero,complement(X_27)))
| meet(X0,join(zero,complement(X_27))) = meet(X0,complement(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_27))),meet(X0,join(zero,complement(X_27)))) ),[1,1],$fot(complement(X_27))]]) ).
cnf(refute_0_182,plain,
( join(zero,complement(X_27)) != complement(X_27)
| meet(X0,join(zero,complement(X_27))) = meet(X0,complement(X_27)) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_27))),meet(X0,join(zero,complement(X_27)))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
meet(X0,join(zero,complement(X_27))) = meet(X0,complement(X_27)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_27)),complement(X_27)) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
( meet(X0,join(zero,complement(X_27))) != complement(join(complement(X0),meet(top,X_27)))
| meet(X0,join(zero,complement(X_27))) != meet(X0,complement(X_27))
| meet(X0,complement(X_27)) = complement(join(complement(X0),meet(top,X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_27))),complement(join(complement(X0),meet(top,X_27)))) ),[0],$fot(meet(X0,complement(X_27)))]]) ).
cnf(refute_0_185,plain,
( meet(X0,join(zero,complement(X_27))) != complement(join(complement(X0),meet(top,X_27)))
| meet(X0,complement(X_27)) = complement(join(complement(X0),meet(top,X_27))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_27))),meet(X0,complement(X_27))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
join(zero,join(zero,meet(X0,meet(X0,complement(complement(X0)))))) = join(zero,meet(X0,meet(X0,complement(complement(X0))))),
inference(subst,[],[refute_0_128:[bind(X_65,$fot(meet(X0,meet(X0,complement(complement(X0))))))]]) ).
cnf(refute_0_187,plain,
X0 = join(meet(X0,meet(X0,complement(complement(X0)))),complement(join(complement(X0),meet(X0,complement(complement(X0)))))),
inference(subst,[],[refute_0_147:[bind(X1,$fot(meet(X0,complement(complement(X0)))))]]) ).
cnf(refute_0_188,plain,
top = join(meet(top,X_32),complement(join(complement(top),X_32))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(top)),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_189,plain,
( complement(top) != zero
| top != join(meet(top,X_32),complement(join(complement(top),X_32)))
| top = join(meet(top,X_32),complement(join(zero,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_32),complement(join(complement(top),X_32)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_190,plain,
( top != join(meet(top,X_32),complement(join(complement(top),X_32)))
| top = join(meet(top,X_32),complement(join(zero,X_32))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_189]) ).
cnf(refute_0_191,plain,
top = join(meet(top,X_32),complement(join(zero,X_32))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_32),complement(join(complement(top),X_32)))) )],[refute_0_188,refute_0_190]) ).
cnf(refute_0_192,plain,
top = join(meet(top,meet(X_31,complement(complement(X_31)))),complement(join(zero,meet(X_31,complement(complement(X_31)))))),
inference(subst,[],[refute_0_191:[bind(X_32,$fot(meet(X_31,complement(complement(X_31)))))]]) ).
cnf(refute_0_193,plain,
X_31 = join(meet(X_31,complement(complement(X_31))),complement(join(complement(X_31),complement(complement(X_31))))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_31)),bind(X1,$fot(complement(complement(X_31))))]]) ).
cnf(refute_0_194,plain,
top = join(complement(X_31),complement(complement(X_31))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(complement(X_31)))]]) ).
cnf(refute_0_195,plain,
( top != join(complement(X_31),complement(complement(X_31)))
| join(complement(X_31),complement(complement(X_31))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_31),complement(complement(X_31)))))]]) ).
cnf(refute_0_196,plain,
join(complement(X_31),complement(complement(X_31))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_31),complement(complement(X_31)))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( X_31 != join(meet(X_31,complement(complement(X_31))),complement(join(complement(X_31),complement(complement(X_31)))))
| join(complement(X_31),complement(complement(X_31))) != top
| X_31 = join(meet(X_31,complement(complement(X_31))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_31,join(meet(X_31,complement(complement(X_31))),complement(join(complement(X_31),complement(complement(X_31)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_198,plain,
( X_31 != join(meet(X_31,complement(complement(X_31))),complement(join(complement(X_31),complement(complement(X_31)))))
| X_31 = join(meet(X_31,complement(complement(X_31))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),complement(complement(X_31))),top) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
X_31 = join(meet(X_31,complement(complement(X_31))),complement(top)),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,complement(complement(X_31))),complement(join(complement(X_31),complement(complement(X_31)))))) )],[refute_0_193,refute_0_198]) ).
cnf(refute_0_200,plain,
join(complement(top),meet(X_31,complement(complement(X_31)))) = join(complement(top),meet(X_31,complement(complement(X_31)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_31,complement(complement(X_31)))))]]) ).
cnf(refute_0_201,plain,
( complement(top) != zero
| join(complement(top),meet(X_31,complement(complement(X_31)))) != join(complement(top),meet(X_31,complement(complement(X_31))))
| join(complement(top),meet(X_31,complement(complement(X_31)))) = join(zero,meet(X_31,complement(complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_31,complement(complement(X_31)))),join(complement(top),meet(X_31,complement(complement(X_31))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_202,plain,
( complement(top) != zero
| join(complement(top),meet(X_31,complement(complement(X_31)))) = join(zero,meet(X_31,complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_31,complement(complement(X_31)))),join(complement(top),meet(X_31,complement(complement(X_31))))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
join(complement(top),meet(X_31,complement(complement(X_31)))) = join(zero,meet(X_31,complement(complement(X_31)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_202]) ).
cnf(refute_0_204,plain,
join(meet(X_31,complement(complement(X_31))),complement(top)) = join(complement(top),meet(X_31,complement(complement(X_31)))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_31,complement(complement(X_31)))))]]) ).
cnf(refute_0_205,plain,
( join(complement(top),meet(X_31,complement(complement(X_31)))) != join(zero,meet(X_31,complement(complement(X_31))))
| join(meet(X_31,complement(complement(X_31))),complement(top)) != join(complement(top),meet(X_31,complement(complement(X_31))))
| join(meet(X_31,complement(complement(X_31))),complement(top)) = join(zero,meet(X_31,complement(complement(X_31)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_31,complement(complement(X_31))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_31,complement(complement(X_31)))))),bind(Z,$fot(join(zero,meet(X_31,complement(complement(X_31))))))]]) ).
cnf(refute_0_206,plain,
( join(complement(top),meet(X_31,complement(complement(X_31)))) != join(zero,meet(X_31,complement(complement(X_31))))
| join(meet(X_31,complement(complement(X_31))),complement(top)) = join(zero,meet(X_31,complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_31,complement(complement(X_31))),complement(top)),join(complement(top),meet(X_31,complement(complement(X_31))))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
join(meet(X_31,complement(complement(X_31))),complement(top)) = join(zero,meet(X_31,complement(complement(X_31)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_31,complement(complement(X_31)))),join(zero,meet(X_31,complement(complement(X_31))))) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
( X_31 != join(meet(X_31,complement(complement(X_31))),complement(top))
| join(meet(X_31,complement(complement(X_31))),complement(top)) != join(zero,meet(X_31,complement(complement(X_31))))
| X_31 = join(zero,meet(X_31,complement(complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_31,join(zero,meet(X_31,complement(complement(X_31))))) ),[0],$fot(join(meet(X_31,complement(complement(X_31))),complement(top)))]]) ).
cnf(refute_0_209,plain,
( X_31 != join(meet(X_31,complement(complement(X_31))),complement(top))
| X_31 = join(zero,meet(X_31,complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_31,complement(complement(X_31))),complement(top)),join(zero,meet(X_31,complement(complement(X_31))))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
X_31 = join(zero,meet(X_31,complement(complement(X_31)))),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,complement(complement(X_31))),complement(top))) )],[refute_0_199,refute_0_209]) ).
cnf(refute_0_211,plain,
( X_31 != join(zero,meet(X_31,complement(complement(X_31))))
| join(zero,meet(X_31,complement(complement(X_31)))) = X_31 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_31)),bind(Y,$fot(join(zero,meet(X_31,complement(complement(X_31))))))]]) ).
cnf(refute_0_212,plain,
join(zero,meet(X_31,complement(complement(X_31)))) = X_31,
inference(resolve,[$cnf( $equal(X_31,join(zero,meet(X_31,complement(complement(X_31))))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( join(zero,meet(X_31,complement(complement(X_31)))) != X_31
| top != join(meet(top,meet(X_31,complement(complement(X_31)))),complement(join(zero,meet(X_31,complement(complement(X_31))))))
| top = join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(X_31,complement(complement(X_31)))),complement(join(zero,meet(X_31,complement(complement(X_31))))))) ),[1,1,0],$fot(X_31)]]) ).
cnf(refute_0_214,plain,
( top != join(meet(top,meet(X_31,complement(complement(X_31)))),complement(join(zero,meet(X_31,complement(complement(X_31))))))
| top = join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_31,complement(complement(X_31)))),X_31) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
top = join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(X_31,complement(complement(X_31)))),complement(join(zero,meet(X_31,complement(complement(X_31))))))) )],[refute_0_192,refute_0_214]) ).
cnf(refute_0_216,plain,
meet(top,complement(X_33)) = complement(join(zero,complement(complement(X_33)))),
inference(subst,[],[refute_0_39:[bind(X1,$fot(complement(X_33)))]]) ).
cnf(refute_0_217,plain,
X_33 = join(zero,complement(complement(X_33))),
inference(subst,[],[refute_0_170:[bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_218,plain,
( X_33 != join(zero,complement(complement(X_33)))
| join(zero,complement(complement(X_33))) = X_33 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_33)),bind(Y,$fot(join(zero,complement(complement(X_33)))))]]) ).
cnf(refute_0_219,plain,
join(zero,complement(complement(X_33))) = X_33,
inference(resolve,[$cnf( $equal(X_33,join(zero,complement(complement(X_33)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( join(zero,complement(complement(X_33))) != X_33
| meet(top,complement(X_33)) != complement(join(zero,complement(complement(X_33))))
| meet(top,complement(X_33)) = complement(X_33) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_33)),complement(join(zero,complement(complement(X_33))))) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_221,plain,
( meet(top,complement(X_33)) != complement(join(zero,complement(complement(X_33))))
| meet(top,complement(X_33)) = complement(X_33) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_33))),X_33) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
meet(top,complement(X_33)) = complement(X_33),
inference(resolve,[$cnf( $equal(meet(top,complement(X_33)),complement(join(zero,complement(complement(X_33))))) )],[refute_0_216,refute_0_221]) ).
cnf(refute_0_223,plain,
meet(top,complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(subst,[],[refute_0_222:[bind(X_33,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_224,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| meet(top,complement(join(complement(X0),complement(X1)))) != complement(join(complement(X0),complement(X1)))
| meet(top,meet(X0,X1)) = complement(join(complement(X0),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(join(complement(X0),complement(X1)))),complement(join(complement(X0),complement(X1)))) ),[0,1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_225,plain,
( meet(top,complement(join(complement(X0),complement(X1)))) != complement(join(complement(X0),complement(X1)))
| meet(top,meet(X0,X1)) = complement(join(complement(X0),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_137,refute_0_224]) ).
cnf(refute_0_226,plain,
meet(top,meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,complement(join(complement(X0),complement(X1)))),complement(join(complement(X0),complement(X1)))) )],[refute_0_223,refute_0_225]) ).
cnf(refute_0_227,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| meet(top,meet(X0,X1)) != complement(join(complement(X0),complement(X1)))
| meet(top,meet(X0,X1)) = meet(X0,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(X0,X1)),complement(join(complement(X0),complement(X1)))) ),[1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_228,plain,
( meet(top,meet(X0,X1)) != complement(join(complement(X0),complement(X1)))
| meet(top,meet(X0,X1)) = meet(X0,X1) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_137,refute_0_227]) ).
cnf(refute_0_229,plain,
meet(top,meet(X0,X1)) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(top,meet(X0,X1)),complement(join(complement(X0),complement(X1)))) )],[refute_0_226,refute_0_228]) ).
cnf(refute_0_230,plain,
meet(top,meet(X_31,complement(complement(X_31)))) = meet(X_31,complement(complement(X_31))),
inference(subst,[],[refute_0_229:[bind(X0,$fot(X_31)),bind(X1,$fot(complement(complement(X_31))))]]) ).
cnf(refute_0_231,plain,
join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))) = join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))),
introduced(tautology,[refl,[$fot(join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))))]]) ).
cnf(refute_0_232,plain,
( join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))) != join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31)))))
| meet(top,meet(X_31,complement(complement(X_31)))) != meet(X_31,complement(complement(X_31)))
| join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))) = join(complement(X_31),meet(X_31,complement(complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))),join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31)))))) ),[1,1],$fot(meet(X_31,complement(complement(X_31))))]]) ).
cnf(refute_0_233,plain,
( meet(top,meet(X_31,complement(complement(X_31)))) != meet(X_31,complement(complement(X_31)))
| join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))) = join(complement(X_31),meet(X_31,complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))),join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31)))))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))) = join(complement(X_31),meet(X_31,complement(complement(X_31)))),
inference(resolve,[$cnf( $equal(meet(top,meet(X_31,complement(complement(X_31)))),meet(X_31,complement(complement(X_31)))) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)) = join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(X_31))),bind(X1,$fot(meet(top,meet(X_31,complement(complement(X_31))))))]]) ).
cnf(refute_0_236,plain,
( join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))) != join(complement(X_31),meet(X_31,complement(complement(X_31))))
| join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)) != join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31)))))
| join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)) = join(complement(X_31),meet(X_31,complement(complement(X_31)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)))),bind(Y,$fot(join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))))),bind(Z,$fot(join(complement(X_31),meet(X_31,complement(complement(X_31))))))]]) ).
cnf(refute_0_237,plain,
( join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))) != join(complement(X_31),meet(X_31,complement(complement(X_31))))
| join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)) = join(complement(X_31),meet(X_31,complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)),join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31)))))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)) = join(complement(X_31),meet(X_31,complement(complement(X_31)))),
inference(resolve,[$cnf( $equal(join(complement(X_31),meet(top,meet(X_31,complement(complement(X_31))))),join(complement(X_31),meet(X_31,complement(complement(X_31))))) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
( join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)) != join(complement(X_31),meet(X_31,complement(complement(X_31))))
| top != join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31))
| top = join(complement(X_31),meet(X_31,complement(complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31))) ),[1],$fot(join(complement(X_31),meet(X_31,complement(complement(X_31)))))]]) ).
cnf(refute_0_240,plain,
( top != join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31))
| top = join(complement(X_31),meet(X_31,complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31)),join(complement(X_31),meet(X_31,complement(complement(X_31))))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
top = join(complement(X_31),meet(X_31,complement(complement(X_31)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(X_31,complement(complement(X_31)))),complement(X_31))) )],[refute_0_215,refute_0_240]) ).
cnf(refute_0_242,plain,
top = join(complement(X0),meet(X0,complement(complement(X0)))),
inference(subst,[],[refute_0_241:[bind(X_31,$fot(X0))]]) ).
cnf(refute_0_243,plain,
( top != join(complement(X0),meet(X0,complement(complement(X0))))
| join(complement(X0),meet(X0,complement(complement(X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),meet(X0,complement(complement(X0))))))]]) ).
cnf(refute_0_244,plain,
join(complement(X0),meet(X0,complement(complement(X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),meet(X0,complement(complement(X0))))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( X0 != join(meet(X0,meet(X0,complement(complement(X0)))),complement(join(complement(X0),meet(X0,complement(complement(X0))))))
| join(complement(X0),meet(X0,complement(complement(X0)))) != top
| X0 = join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,meet(X0,complement(complement(X0)))),complement(join(complement(X0),meet(X0,complement(complement(X0))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_246,plain,
( X0 != join(meet(X0,meet(X0,complement(complement(X0)))),complement(join(complement(X0),meet(X0,complement(complement(X0))))))
| X0 = join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(X0,complement(complement(X0)))),top) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
X0 = join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(X0,complement(complement(X0)))),complement(join(complement(X0),meet(X0,complement(complement(X0))))))) )],[refute_0_187,refute_0_246]) ).
cnf(refute_0_248,plain,
join(complement(top),meet(X0,meet(X0,complement(complement(X0))))) = join(complement(top),meet(X0,meet(X0,complement(complement(X0))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,meet(X0,complement(complement(X0))))))]]) ).
cnf(refute_0_249,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(X0,complement(complement(X0))))) != join(complement(top),meet(X0,meet(X0,complement(complement(X0)))))
| join(complement(top),meet(X0,meet(X0,complement(complement(X0))))) = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,meet(X0,complement(complement(X0))))),join(complement(top),meet(X0,meet(X0,complement(complement(X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_250,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(X0,complement(complement(X0))))) = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(X0,complement(complement(X0))))),join(complement(top),meet(X0,meet(X0,complement(complement(X0)))))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
join(complement(top),meet(X0,meet(X0,complement(complement(X0))))) = join(zero,meet(X0,meet(X0,complement(complement(X0))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_250]) ).
cnf(refute_0_252,plain,
join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)) = join(complement(top),meet(X0,meet(X0,complement(complement(X0))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X0,meet(X0,complement(complement(X0))))))]]) ).
cnf(refute_0_253,plain,
( join(complement(top),meet(X0,meet(X0,complement(complement(X0))))) != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)) != join(complement(top),meet(X0,meet(X0,complement(complement(X0)))))
| join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)) = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X0,meet(X0,complement(complement(X0))))))),bind(Z,$fot(join(zero,meet(X0,meet(X0,complement(complement(X0)))))))]]) ).
cnf(refute_0_254,plain,
( join(complement(top),meet(X0,meet(X0,complement(complement(X0))))) != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)) = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)),join(complement(top),meet(X0,meet(X0,complement(complement(X0)))))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)) = join(zero,meet(X0,meet(X0,complement(complement(X0))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(X0,complement(complement(X0))))),join(zero,meet(X0,meet(X0,complement(complement(X0)))))) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
( X0 != join(meet(X0,meet(X0,complement(complement(X0)))),complement(top))
| join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)) != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| X0 = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(X0,meet(X0,complement(complement(X0)))))) ),[0],$fot(join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)))]]) ).
cnf(refute_0_257,plain,
( X0 != join(meet(X0,meet(X0,complement(complement(X0)))),complement(top))
| X0 = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,meet(X0,complement(complement(X0)))),complement(top)),join(zero,meet(X0,meet(X0,complement(complement(X0)))))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
X0 = join(zero,meet(X0,meet(X0,complement(complement(X0))))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(X0,complement(complement(X0)))),complement(top))) )],[refute_0_247,refute_0_257]) ).
cnf(refute_0_259,plain,
( X0 != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| join(zero,meet(X0,meet(X0,complement(complement(X0))))) = X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X0)),bind(Y,$fot(join(zero,meet(X0,meet(X0,complement(complement(X0)))))))]]) ).
cnf(refute_0_260,plain,
join(zero,meet(X0,meet(X0,complement(complement(X0))))) = X0,
inference(resolve,[$cnf( $equal(X0,join(zero,meet(X0,meet(X0,complement(complement(X0)))))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( join(zero,join(zero,meet(X0,meet(X0,complement(complement(X0)))))) != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| join(zero,meet(X0,meet(X0,complement(complement(X0))))) != X0
| join(zero,X0) = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X0,meet(X0,complement(complement(X0)))))),join(zero,meet(X0,meet(X0,complement(complement(X0)))))) ),[0,1],$fot(X0)]]) ).
cnf(refute_0_262,plain,
( join(zero,join(zero,meet(X0,meet(X0,complement(complement(X0)))))) != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| join(zero,X0) = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X0,meet(X0,complement(complement(X0))))),X0) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
join(zero,X0) = join(zero,meet(X0,meet(X0,complement(complement(X0))))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X0,meet(X0,complement(complement(X0)))))),join(zero,meet(X0,meet(X0,complement(complement(X0)))))) )],[refute_0_186,refute_0_262]) ).
cnf(refute_0_264,plain,
join(zero,X0) = X0,
inference(subst,[],[refute_0_178:[bind(X_31,$fot(X0))]]) ).
cnf(refute_0_265,plain,
( join(zero,X0) != X0
| join(zero,X0) != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| X0 = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,X0),join(zero,meet(X0,meet(X0,complement(complement(X0)))))) ),[0],$fot(X0)]]) ).
cnf(refute_0_266,plain,
( join(zero,X0) != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| X0 = join(zero,meet(X0,meet(X0,complement(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
meet(X_25,X_25) = complement(join(complement(X_25),complement(X_25))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_25)),bind(X1,$fot(X_25))]]) ).
cnf(refute_0_268,plain,
join(complement(X_25),complement(X_25)) = complement(X_25),
inference(subst,[],[refute_0_111:[bind(X_21,$fot(X_25))]]) ).
cnf(refute_0_269,plain,
( join(complement(X_25),complement(X_25)) != complement(X_25)
| meet(X_25,X_25) != complement(join(complement(X_25),complement(X_25)))
| meet(X_25,X_25) = complement(complement(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_25,X_25),complement(join(complement(X_25),complement(X_25)))) ),[1,0],$fot(complement(X_25))]]) ).
cnf(refute_0_270,plain,
( meet(X_25,X_25) != complement(join(complement(X_25),complement(X_25)))
| meet(X_25,X_25) = complement(complement(X_25)) ),
inference(resolve,[$cnf( $equal(join(complement(X_25),complement(X_25)),complement(X_25)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
meet(X_25,X_25) = complement(complement(X_25)),
inference(resolve,[$cnf( $equal(meet(X_25,X_25),complement(join(complement(X_25),complement(X_25)))) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
meet(X0,X0) = complement(complement(X0)),
inference(subst,[],[refute_0_271:[bind(X_25,$fot(X0))]]) ).
cnf(refute_0_273,plain,
join(zero,join(zero,meet(X_31,complement(complement(X_31))))) = join(zero,meet(X_31,complement(complement(X_31)))),
inference(subst,[],[refute_0_128:[bind(X_65,$fot(meet(X_31,complement(complement(X_31)))))]]) ).
cnf(refute_0_274,plain,
( join(zero,join(zero,meet(X_31,complement(complement(X_31))))) != join(zero,meet(X_31,complement(complement(X_31))))
| join(zero,meet(X_31,complement(complement(X_31)))) != X_31
| join(zero,X_31) = join(zero,meet(X_31,complement(complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_31,complement(complement(X_31))))),join(zero,meet(X_31,complement(complement(X_31))))) ),[0,1],$fot(X_31)]]) ).
cnf(refute_0_275,plain,
( join(zero,join(zero,meet(X_31,complement(complement(X_31))))) != join(zero,meet(X_31,complement(complement(X_31))))
| join(zero,X_31) = join(zero,meet(X_31,complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_31,complement(complement(X_31)))),X_31) )],[refute_0_212,refute_0_274]) ).
cnf(refute_0_276,plain,
join(zero,X_31) = join(zero,meet(X_31,complement(complement(X_31)))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_31,complement(complement(X_31))))),join(zero,meet(X_31,complement(complement(X_31))))) )],[refute_0_273,refute_0_275]) ).
cnf(refute_0_277,plain,
( join(zero,X_31) != X_31
| join(zero,X_31) != join(zero,meet(X_31,complement(complement(X_31))))
| X_31 = join(zero,meet(X_31,complement(complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,X_31),join(zero,meet(X_31,complement(complement(X_31))))) ),[0],$fot(X_31)]]) ).
cnf(refute_0_278,plain,
( join(zero,X_31) != join(zero,meet(X_31,complement(complement(X_31))))
| X_31 = join(zero,meet(X_31,complement(complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(zero,X_31),X_31) )],[refute_0_178,refute_0_277]) ).
cnf(refute_0_279,plain,
join(zero,meet(X_31,complement(complement(X_31)))) = meet(X_31,complement(complement(X_31))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(X_31,complement(complement(X_31)))))]]) ).
cnf(refute_0_280,plain,
( X_31 != join(zero,meet(X_31,complement(complement(X_31))))
| join(zero,meet(X_31,complement(complement(X_31)))) != meet(X_31,complement(complement(X_31)))
| X_31 = meet(X_31,complement(complement(X_31))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_31,meet(X_31,complement(complement(X_31)))) ),[0],$fot(join(zero,meet(X_31,complement(complement(X_31)))))]]) ).
cnf(refute_0_281,plain,
( X_31 != join(zero,meet(X_31,complement(complement(X_31))))
| X_31 = meet(X_31,complement(complement(X_31))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_31,complement(complement(X_31)))),meet(X_31,complement(complement(X_31)))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
( join(zero,X_31) != join(zero,meet(X_31,complement(complement(X_31))))
| X_31 = meet(X_31,complement(complement(X_31))) ),
inference(resolve,[$cnf( $equal(X_31,join(zero,meet(X_31,complement(complement(X_31))))) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
X_31 = meet(X_31,complement(complement(X_31))),
inference(resolve,[$cnf( $equal(join(zero,X_31),join(zero,meet(X_31,complement(complement(X_31))))) )],[refute_0_276,refute_0_282]) ).
cnf(refute_0_284,plain,
( X_31 != meet(X_31,complement(complement(X_31)))
| meet(X_31,complement(complement(X_31))) = X_31 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_31)),bind(Y,$fot(meet(X_31,complement(complement(X_31)))))]]) ).
cnf(refute_0_285,plain,
meet(X_31,complement(complement(X_31))) = X_31,
inference(resolve,[$cnf( $equal(X_31,meet(X_31,complement(complement(X_31)))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
meet(X0,complement(complement(X0))) = X0,
inference(subst,[],[refute_0_285:[bind(X_31,$fot(X0))]]) ).
cnf(refute_0_287,plain,
meet(X0,meet(X0,complement(complement(X0)))) = meet(X0,meet(X0,complement(complement(X0)))),
introduced(tautology,[refl,[$fot(meet(X0,meet(X0,complement(complement(X0)))))]]) ).
cnf(refute_0_288,plain,
( meet(X0,complement(complement(X0))) != X0
| meet(X0,meet(X0,complement(complement(X0)))) != meet(X0,meet(X0,complement(complement(X0))))
| meet(X0,meet(X0,complement(complement(X0)))) = meet(X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,meet(X0,complement(complement(X0)))),meet(X0,meet(X0,complement(complement(X0))))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_289,plain,
( meet(X0,complement(complement(X0))) != X0
| meet(X0,meet(X0,complement(complement(X0)))) = meet(X0,X0) ),
inference(resolve,[$cnf( $equal(meet(X0,meet(X0,complement(complement(X0)))),meet(X0,meet(X0,complement(complement(X0))))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
meet(X0,meet(X0,complement(complement(X0)))) = meet(X0,X0),
inference(resolve,[$cnf( $equal(meet(X0,complement(complement(X0))),X0) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
( meet(X0,X0) != complement(complement(X0))
| meet(X0,meet(X0,complement(complement(X0)))) != meet(X0,X0)
| meet(X0,meet(X0,complement(complement(X0)))) = complement(complement(X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(X0,meet(X0,complement(complement(X0)))))),bind(Y,$fot(meet(X0,X0))),bind(Z,$fot(complement(complement(X0))))]]) ).
cnf(refute_0_292,plain,
( meet(X0,X0) != complement(complement(X0))
| meet(X0,meet(X0,complement(complement(X0)))) = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(meet(X0,meet(X0,complement(complement(X0)))),meet(X0,X0)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
meet(X0,meet(X0,complement(complement(X0)))) = complement(complement(X0)),
inference(resolve,[$cnf( $equal(meet(X0,X0),complement(complement(X0))) )],[refute_0_272,refute_0_292]) ).
cnf(refute_0_294,plain,
join(zero,meet(X0,meet(X0,complement(complement(X0))))) = meet(X0,meet(X0,complement(complement(X0)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(X0,meet(X0,complement(complement(X0))))))]]) ).
cnf(refute_0_295,plain,
( join(zero,meet(X0,meet(X0,complement(complement(X0))))) != meet(X0,meet(X0,complement(complement(X0))))
| meet(X0,meet(X0,complement(complement(X0)))) != complement(complement(X0))
| join(zero,meet(X0,meet(X0,complement(complement(X0))))) = complement(complement(X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,meet(X0,meet(X0,complement(complement(X0))))))),bind(Y,$fot(meet(X0,meet(X0,complement(complement(X0)))))),bind(Z,$fot(complement(complement(X0))))]]) ).
cnf(refute_0_296,plain,
( meet(X0,meet(X0,complement(complement(X0)))) != complement(complement(X0))
| join(zero,meet(X0,meet(X0,complement(complement(X0))))) = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X0,meet(X0,complement(complement(X0))))),meet(X0,meet(X0,complement(complement(X0))))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
join(zero,meet(X0,meet(X0,complement(complement(X0))))) = complement(complement(X0)),
inference(resolve,[$cnf( $equal(meet(X0,meet(X0,complement(complement(X0)))),complement(complement(X0))) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
( X0 != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| join(zero,meet(X0,meet(X0,complement(complement(X0))))) != complement(complement(X0))
| X0 = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,complement(complement(X0))) ),[0],$fot(join(zero,meet(X0,meet(X0,complement(complement(X0))))))]]) ).
cnf(refute_0_299,plain,
( X0 != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| X0 = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X0,meet(X0,complement(complement(X0))))),complement(complement(X0))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
( join(zero,X0) != join(zero,meet(X0,meet(X0,complement(complement(X0)))))
| X0 = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(X0,join(zero,meet(X0,meet(X0,complement(complement(X0)))))) )],[refute_0_266,refute_0_299]) ).
cnf(refute_0_301,plain,
X0 = complement(complement(X0)),
inference(resolve,[$cnf( $equal(join(zero,X0),join(zero,meet(X0,meet(X0,complement(complement(X0)))))) )],[refute_0_263,refute_0_300]) ).
cnf(refute_0_302,plain,
( X0 != complement(complement(X0))
| complement(complement(X0)) = X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X0)),bind(Y,$fot(complement(complement(X0))))]]) ).
cnf(refute_0_303,plain,
complement(complement(X0)) = X0,
inference(resolve,[$cnf( $equal(X0,complement(complement(X0))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_305,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(complement(X1)))]]) ).
cnf(refute_0_306,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_307,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_308,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( complement(complement(X1)) != X1
| complement(join(zero,complement(X1))) != complement(complement(X1))
| complement(join(zero,complement(X1))) = X1 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(zero,complement(X1))))),bind(Y,$fot(complement(complement(X1)))),bind(Z,$fot(X1))]]) ).
cnf(refute_0_311,plain,
( complement(complement(X1)) != X1
| complement(join(zero,complement(X1))) = X1 ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
complement(join(zero,complement(X1))) = X1,
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_304,refute_0_311]) ).
cnf(refute_0_313,plain,
( complement(join(zero,complement(X1))) != X1
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(X1)]]) ).
cnf(refute_0_314,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),X1) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_39,refute_0_314]) ).
cnf(refute_0_316,plain,
meet(top,X_27) = X_27,
inference(subst,[],[refute_0_315:[bind(X1,$fot(X_27))]]) ).
cnf(refute_0_317,plain,
join(complement(X0),meet(top,X_27)) = join(complement(X0),meet(top,X_27)),
introduced(tautology,[refl,[$fot(join(complement(X0),meet(top,X_27)))]]) ).
cnf(refute_0_318,plain,
( join(complement(X0),meet(top,X_27)) != join(complement(X0),meet(top,X_27))
| meet(top,X_27) != X_27
| join(complement(X0),meet(top,X_27)) = join(complement(X0),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(top,X_27)),join(complement(X0),meet(top,X_27))) ),[1,1],$fot(X_27)]]) ).
cnf(refute_0_319,plain,
( meet(top,X_27) != X_27
| join(complement(X0),meet(top,X_27)) = join(complement(X0),X_27) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_27)),join(complement(X0),meet(top,X_27))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
join(complement(X0),meet(top,X_27)) = join(complement(X0),X_27),
inference(resolve,[$cnf( $equal(meet(top,X_27),X_27) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
complement(join(complement(X0),meet(top,X_27))) = complement(join(complement(X0),meet(top,X_27))),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),meet(top,X_27))))]]) ).
cnf(refute_0_322,plain,
( complement(join(complement(X0),meet(top,X_27))) != complement(join(complement(X0),meet(top,X_27)))
| join(complement(X0),meet(top,X_27)) != join(complement(X0),X_27)
| complement(join(complement(X0),meet(top,X_27))) = complement(join(complement(X0),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),meet(top,X_27))),complement(join(complement(X0),meet(top,X_27)))) ),[1,0],$fot(join(complement(X0),X_27))]]) ).
cnf(refute_0_323,plain,
( join(complement(X0),meet(top,X_27)) != join(complement(X0),X_27)
| complement(join(complement(X0),meet(top,X_27))) = complement(join(complement(X0),X_27)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_27))),complement(join(complement(X0),meet(top,X_27)))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
complement(join(complement(X0),meet(top,X_27))) = complement(join(complement(X0),X_27)),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_27)),join(complement(X0),X_27)) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
( complement(join(complement(X0),meet(top,X_27))) != complement(join(complement(X0),X_27))
| meet(X0,complement(X_27)) != complement(join(complement(X0),meet(top,X_27)))
| meet(X0,complement(X_27)) = complement(join(complement(X0),X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(X_27)),complement(join(complement(X0),meet(top,X_27)))) ),[1],$fot(complement(join(complement(X0),X_27)))]]) ).
cnf(refute_0_326,plain,
( meet(X0,complement(X_27)) != complement(join(complement(X0),meet(top,X_27)))
| meet(X0,complement(X_27)) = complement(join(complement(X0),X_27)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_27))),complement(join(complement(X0),X_27))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
( meet(X0,join(zero,complement(X_27))) != complement(join(complement(X0),meet(top,X_27)))
| meet(X0,complement(X_27)) = complement(join(complement(X0),X_27)) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_27)),complement(join(complement(X0),meet(top,X_27)))) )],[refute_0_185,refute_0_326]) ).
cnf(refute_0_328,plain,
meet(X0,complement(X_27)) = complement(join(complement(X0),X_27)),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_27))),complement(join(complement(X0),meet(top,X_27)))) )],[refute_0_45,refute_0_327]) ).
cnf(refute_0_329,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = complement(join(complement(one),composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_328:[bind(X0,$fot(one)),bind(X_27,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_330,plain,
X_31 = join(meet(X_31,X_32),complement(join(complement(X_31),X_32))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_31)),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_331,plain,
join(X_32,complement(X_31)) = join(complement(X_31),X_32),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_32)),bind(X1,$fot(complement(X_31)))]]) ).
cnf(refute_0_332,plain,
( join(X_32,complement(X_31)) != join(complement(X_31),X_32)
| join(complement(X_31),X_32) = join(X_32,complement(X_31)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_32,complement(X_31)))),bind(Y,$fot(join(complement(X_31),X_32)))]]) ).
cnf(refute_0_333,plain,
join(complement(X_31),X_32) = join(X_32,complement(X_31)),
inference(resolve,[$cnf( $equal(join(X_32,complement(X_31)),join(complement(X_31),X_32)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
( X_31 != join(meet(X_31,X_32),complement(join(complement(X_31),X_32)))
| join(complement(X_31),X_32) != join(X_32,complement(X_31))
| X_31 = join(meet(X_31,X_32),complement(join(X_32,complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_31,join(meet(X_31,X_32),complement(join(complement(X_31),X_32)))) ),[1,1,0],$fot(join(X_32,complement(X_31)))]]) ).
cnf(refute_0_335,plain,
( X_31 != join(meet(X_31,X_32),complement(join(complement(X_31),X_32)))
| X_31 = join(meet(X_31,X_32),complement(join(X_32,complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),X_32),join(X_32,complement(X_31))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
X_31 = join(meet(X_31,X_32),complement(join(X_32,complement(X_31)))),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,X_32),complement(join(complement(X_31),X_32)))) )],[refute_0_330,refute_0_335]) ).
cnf(refute_0_337,plain,
join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(join(meet(X0,X1),complement(join(complement(X0),X1))))),
inference(subst,[],[refute_0_336:[bind(X_31,$fot(join(complement(X0),X1))),bind(X_32,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_338,plain,
( X0 != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(meet(X0,X1),complement(join(complement(X0),X1))) = X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X0)),bind(Y,$fot(join(meet(X0,X1),complement(join(complement(X0),X1)))))]]) ).
cnf(refute_0_339,plain,
join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(resolve,[$cnf( $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_147,refute_0_338]) ).
cnf(refute_0_340,plain,
( join(complement(X0),X1) != join(meet(join(complement(X0),X1),meet(X0,X1)),complement(join(meet(X0,X1),complement(join(complement(X0),X1)))))
| join(meet(X0,X1),complement(join(complement(X0),X1))) != X0
| join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),X1),join(meet(join(complement(X0),X1),meet(X0,X1)),complement(join(meet(X0,X1),complement(join(complement(X0),X1)))))) ),[1,1,0],$fot(X0)]]) ).
cnf(refute_0_341,plain,
( join(complement(X0),X1) != join(meet(join(complement(X0),X1),meet(X0,X1)),complement(join(meet(X0,X1),complement(join(complement(X0),X1)))))
| join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)) ),
inference(resolve,[$cnf( $equal(join(meet(X0,X1),complement(join(complement(X0),X1))),X0) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
join(complement(X0),X1) = join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),
inference(resolve,[$cnf( $equal(join(complement(X0),X1),join(meet(join(complement(X0),X1),meet(X0,X1)),complement(join(meet(X0,X1),complement(join(complement(X0),X1)))))) )],[refute_0_337,refute_0_341]) ).
cnf(refute_0_343,plain,
join(complement(X_25),complement(X_24)) = join(complement(X_24),complement(X_25)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(complement(X_25))),bind(X1,$fot(complement(X_24)))]]) ).
cnf(refute_0_344,plain,
( join(complement(X_25),complement(X_24)) != join(complement(X_24),complement(X_25))
| join(complement(X_24),complement(X_25)) = join(complement(X_25),complement(X_24)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(X_25),complement(X_24)))),bind(Y,$fot(join(complement(X_24),complement(X_25))))]]) ).
cnf(refute_0_345,plain,
join(complement(X_24),complement(X_25)) = join(complement(X_25),complement(X_24)),
inference(resolve,[$cnf( $equal(join(complement(X_25),complement(X_24)),join(complement(X_24),complement(X_25))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
( join(complement(X_24),complement(X_25)) != join(complement(X_25),complement(X_24))
| meet(X_24,X_25) != complement(join(complement(X_24),complement(X_25)))
| meet(X_24,X_25) = complement(join(complement(X_25),complement(X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_24),complement(X_25)))) ),[1,0],$fot(join(complement(X_25),complement(X_24)))]]) ).
cnf(refute_0_347,plain,
( meet(X_24,X_25) != complement(join(complement(X_24),complement(X_25)))
| meet(X_24,X_25) = complement(join(complement(X_25),complement(X_24))) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),complement(X_25)),join(complement(X_25),complement(X_24))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
meet(X_24,X_25) = complement(join(complement(X_25),complement(X_24))),
inference(resolve,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_24),complement(X_25)))) )],[refute_0_5,refute_0_347]) ).
cnf(refute_0_349,plain,
complement(join(complement(X_25),complement(X_24))) = meet(X_25,X_24),
inference(subst,[],[refute_0_137:[bind(X0,$fot(X_25)),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_350,plain,
( complement(join(complement(X_25),complement(X_24))) != meet(X_25,X_24)
| meet(X_24,X_25) != complement(join(complement(X_25),complement(X_24)))
| meet(X_24,X_25) = meet(X_25,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_25),complement(X_24)))) ),[1],$fot(meet(X_25,X_24))]]) ).
cnf(refute_0_351,plain,
( meet(X_24,X_25) != complement(join(complement(X_25),complement(X_24)))
| meet(X_24,X_25) = meet(X_25,X_24) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_25),complement(X_24))),meet(X_25,X_24)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
meet(X_24,X_25) = meet(X_25,X_24),
inference(resolve,[$cnf( $equal(meet(X_24,X_25),complement(join(complement(X_25),complement(X_24)))) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
( meet(X_24,X_25) != meet(X_25,X_24)
| meet(X_25,X_24) = meet(X_24,X_25) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_24,X_25))),bind(Y,$fot(meet(X_25,X_24)))]]) ).
cnf(refute_0_354,plain,
meet(X_25,X_24) = meet(X_24,X_25),
inference(resolve,[$cnf( $equal(meet(X_24,X_25),meet(X_25,X_24)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
meet(join(complement(X0),X1),meet(X0,X1)) = meet(meet(X0,X1),join(complement(X0),X1)),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(meet(X0,X1))),bind(X_25,$fot(join(complement(X0),X1)))]]) ).
cnf(refute_0_356,plain,
join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))) = join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))),
introduced(tautology,[refl,[$fot(join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))))]]) ).
cnf(refute_0_357,plain,
( join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))) != join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1)))
| meet(join(complement(X0),X1),meet(X0,X1)) != meet(meet(X0,X1),join(complement(X0),X1))
| join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))),join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1)))) ),[1,1],$fot(meet(meet(X0,X1),join(complement(X0),X1)))]]) ).
cnf(refute_0_358,plain,
( meet(join(complement(X0),X1),meet(X0,X1)) != meet(meet(X0,X1),join(complement(X0),X1))
| join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))),join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1)))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),X1),meet(X0,X1)),meet(meet(X0,X1),join(complement(X0),X1))) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)) = join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(X0))),bind(X1,$fot(meet(join(complement(X0),X1),meet(X0,X1))))]]) ).
cnf(refute_0_361,plain,
( join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))) != join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1)))
| join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)) != join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1)))
| join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)))),bind(Y,$fot(join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))))),bind(Z,$fot(join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1)))))]]) ).
cnf(refute_0_362,plain,
( join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))) != join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1)))
| join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1)))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(join(complement(X0),X1),meet(X0,X1))),join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1)))) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
( join(complement(X0),X1) != join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0))
| join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)) != join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1)))
| join(complement(X0),X1) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),X1),join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1)))) ),[0],$fot(join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)))]]) ).
cnf(refute_0_365,plain,
( join(complement(X0),X1) != join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0))
| join(complement(X0),X1) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)),join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
join(complement(X0),X1) = join(complement(X0),meet(meet(X0,X1),join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),X1),join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0))) )],[refute_0_342,refute_0_365]) ).
cnf(refute_0_367,plain,
join(complement(one),composition(skolemFOFtoCNF_X0,top)) = join(complement(one),meet(meet(one,composition(skolemFOFtoCNF_X0,top)),join(complement(one),composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_366:[bind(X0,$fot(one)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_368,plain,
join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) = join(complement(complement(X_770)),meet(meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_366:[bind(X0,$fot(complement(X_770))),bind(X1,$fot(join(X_770,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_369,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_32),complement(join(complement(join(zero,complement(X1))),X_32))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_370,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_371,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_39,refute_0_370]) ).
cnf(refute_0_372,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_32),complement(join(complement(join(zero,complement(X1))),X_32)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_32),complement(join(complement(join(zero,complement(X1))),X_32)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_373,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_32),complement(join(complement(join(zero,complement(X1))),X_32)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_32),complement(join(complement(join(zero,complement(X1))),X_32)))) )],[refute_0_369,refute_0_373]) ).
cnf(refute_0_375,plain,
join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32))) = join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(join(meet(top,X1),X_32)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_32)))]]) ).
cnf(refute_0_376,plain,
( join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32))) != join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32)))) ),[1],$fot(join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)))]]) ).
cnf(refute_0_377,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32))),join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_32),complement(join(meet(top,X1),X_32)))) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))
| complement(X1) = join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_380,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))
| complement(X1) = join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_305,refute_0_379]) ).
cnf(refute_0_381,plain,
meet(join(zero,complement(X1)),X_32) = meet(join(zero,complement(X1)),X_32),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_32))]]) ).
cnf(refute_0_382,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_32) != meet(join(zero,complement(X1)),X_32)
| meet(join(zero,complement(X1)),X_32) = meet(complement(X1),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_32),meet(join(zero,complement(X1)),X_32)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_383,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_32) = meet(complement(X1),X_32) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_32),meet(join(zero,complement(X1)),X_32)) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
meet(join(zero,complement(X1)),X_32) = meet(complement(X1),X_32),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_305,refute_0_383]) ).
cnf(refute_0_385,plain,
join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)),
introduced(tautology,[refl,[$fot(join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)))]]) ).
cnf(refute_0_386,plain,
( join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) != join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32))
| meet(join(zero,complement(X1)),X_32) != meet(complement(X1),X_32)
| join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)),join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32))) ),[1,1],$fot(meet(complement(X1),X_32))]]) ).
cnf(refute_0_387,plain,
( meet(join(zero,complement(X1)),X_32) != meet(complement(X1),X_32)
| join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)),join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_32),meet(complement(X1),X_32)) )],[refute_0_384,refute_0_387]) ).
cnf(refute_0_389,plain,
join(meet(top,X1),X_32) = join(meet(top,X1),X_32),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_32))]]) ).
cnf(refute_0_390,plain,
( join(meet(top,X1),X_32) != join(meet(top,X1),X_32)
| meet(top,X1) != X1
| join(meet(top,X1),X_32) = join(X1,X_32) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_32),join(meet(top,X1),X_32)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_391,plain,
( meet(top,X1) != X1
| join(meet(top,X1),X_32) = join(X1,X_32) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_32),join(meet(top,X1),X_32)) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
join(meet(top,X1),X_32) = join(X1,X_32),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_315,refute_0_391]) ).
cnf(refute_0_393,plain,
complement(join(meet(top,X1),X_32)) = complement(join(meet(top,X1),X_32)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_32)))]]) ).
cnf(refute_0_394,plain,
( complement(join(meet(top,X1),X_32)) != complement(join(meet(top,X1),X_32))
| join(meet(top,X1),X_32) != join(X1,X_32)
| complement(join(meet(top,X1),X_32)) = complement(join(X1,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_32)),complement(join(meet(top,X1),X_32))) ),[1,0],$fot(join(X1,X_32))]]) ).
cnf(refute_0_395,plain,
( join(meet(top,X1),X_32) != join(X1,X_32)
| complement(join(meet(top,X1),X_32)) = complement(join(X1,X_32)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_32)),complement(join(meet(top,X1),X_32))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
complement(join(meet(top,X1),X_32)) = complement(join(X1,X_32)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_32),join(X1,X_32)) )],[refute_0_392,refute_0_395]) ).
cnf(refute_0_397,plain,
join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)))]]) ).
cnf(refute_0_398,plain,
( complement(join(meet(top,X1),X_32)) != complement(join(X1,X_32))
| join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) != join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))
| join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)),join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))) ),[1,0],$fot(complement(join(X1,X_32)))]]) ).
cnf(refute_0_399,plain,
( complement(join(meet(top,X1),X_32)) != complement(join(X1,X_32))
| join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)),join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_32)),complement(join(X1,X_32))) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
( join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) != join(complement(join(X1,X_32)),meet(complement(X1),X_32))
| join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) != join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32))
| join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)))),bind(Y,$fot(join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)))),bind(Z,$fot(join(complement(join(X1,X_32)),meet(complement(X1),X_32))))]]) ).
cnf(refute_0_402,plain,
( join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)) != join(complement(join(X1,X_32)),meet(complement(X1),X_32))
| join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)),join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_32)),meet(join(zero,complement(X1)),X_32)),join(complement(join(X1,X_32)),meet(complement(X1),X_32))) )],[refute_0_388,refute_0_402]) ).
cnf(refute_0_404,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))
| join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)) != join(complement(join(X1,X_32)),meet(complement(X1),X_32))
| complement(X1) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_32)),meet(complement(X1),X_32))) ),[0],$fot(join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)))]]) ).
cnf(refute_0_405,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))
| complement(X1) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32)),join(complement(join(X1,X_32)),meet(complement(X1),X_32))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))
| complement(X1) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)) ),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))) )],[refute_0_380,refute_0_405]) ).
cnf(refute_0_407,plain,
complement(X1) = join(complement(join(X1,X_32)),meet(complement(X1),X_32)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_32)),meet(join(zero,complement(X1)),X_32))) )],[refute_0_378,refute_0_406]) ).
cnf(refute_0_408,plain,
complement(X1) = join(complement(join(X1,converse(join(one,complement(converse(join(X1,one))))))),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),
inference(subst,[],[refute_0_407:[bind(X_32,$fot(converse(join(one,complement(converse(join(X1,one)))))))]]) ).
cnf(refute_0_409,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_410,plain,
converse(join(converse(X0),X_7)) = join(converse(converse(X0)),converse(X_7)),
inference(subst,[],[refute_0_409:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_411,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_7)) != join(converse(converse(X0)),converse(X_7))
| converse(join(converse(X0),X_7)) = join(X0,converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_7)),join(converse(converse(X0)),converse(X_7))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_412,plain,
( converse(join(converse(X0),X_7)) != join(converse(converse(X0)),converse(X_7))
| converse(join(converse(X0),X_7)) = join(X0,converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_411]) ).
cnf(refute_0_413,plain,
converse(join(converse(X0),X_7)) = join(X0,converse(X_7)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_7)),join(converse(converse(X0)),converse(X_7))) )],[refute_0_410,refute_0_412]) ).
cnf(refute_0_414,plain,
converse(join(converse(X_10),complement(converse(X_10)))) = join(X_10,converse(complement(converse(X_10)))),
inference(subst,[],[refute_0_413:[bind(X0,$fot(X_10)),bind(X_7,$fot(complement(converse(X_10))))]]) ).
cnf(refute_0_415,plain,
top = join(converse(X_10),complement(converse(X_10))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(X_10)))]]) ).
cnf(refute_0_416,plain,
( top != join(converse(X_10),complement(converse(X_10)))
| join(converse(X_10),complement(converse(X_10))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_10),complement(converse(X_10)))))]]) ).
cnf(refute_0_417,plain,
join(converse(X_10),complement(converse(X_10))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_10),complement(converse(X_10)))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
( converse(join(converse(X_10),complement(converse(X_10)))) != join(X_10,converse(complement(converse(X_10))))
| join(converse(X_10),complement(converse(X_10))) != top
| converse(top) = join(X_10,converse(complement(converse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_10),complement(converse(X_10)))),join(X_10,converse(complement(converse(X_10))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_419,plain,
( converse(join(converse(X_10),complement(converse(X_10)))) != join(X_10,converse(complement(converse(X_10))))
| converse(top) = join(X_10,converse(complement(converse(X_10)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_10),complement(converse(X_10))),top) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
converse(top) = join(X_10,converse(complement(converse(X_10)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_10),complement(converse(X_10)))),join(X_10,converse(complement(converse(X_10))))) )],[refute_0_414,refute_0_419]) ).
cnf(refute_0_421,plain,
converse(top) = join(join(X_6,converse(X0)),converse(complement(converse(join(X_6,converse(X0)))))),
inference(subst,[],[refute_0_420:[bind(X_10,$fot(join(X_6,converse(X0))))]]) ).
cnf(refute_0_422,plain,
converse(join(X_6,converse(X0))) = join(converse(X_6),converse(converse(X0))),
inference(subst,[],[refute_0_409:[bind(X0,$fot(X_6)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_423,plain,
( converse(converse(X0)) != X0
| converse(join(X_6,converse(X0))) != join(converse(X_6),converse(converse(X0)))
| converse(join(X_6,converse(X0))) = join(converse(X_6),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,converse(X0))),join(converse(X_6),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_424,plain,
( converse(join(X_6,converse(X0))) != join(converse(X_6),converse(converse(X0)))
| converse(join(X_6,converse(X0))) = join(converse(X_6),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_423]) ).
cnf(refute_0_425,plain,
converse(join(X_6,converse(X0))) = join(converse(X_6),X0),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(X0))),join(converse(X_6),converse(converse(X0)))) )],[refute_0_422,refute_0_424]) ).
cnf(refute_0_426,plain,
( converse(join(X_6,converse(X0))) != join(converse(X_6),X0)
| converse(top) != join(join(X_6,converse(X0)),converse(complement(converse(join(X_6,converse(X0))))))
| converse(top) = join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_6,converse(X0)),converse(complement(converse(join(X_6,converse(X0))))))) ),[1,1,0,0],$fot(join(converse(X_6),X0))]]) ).
cnf(refute_0_427,plain,
( converse(top) != join(join(X_6,converse(X0)),converse(complement(converse(join(X_6,converse(X0))))))
| converse(top) = join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(X0))),join(converse(X_6),X0)) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
converse(top) = join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_6,converse(X0)),converse(complement(converse(join(X_6,converse(X0))))))) )],[refute_0_421,refute_0_427]) ).
cnf(refute_0_429,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_430,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_409,refute_0_429]) ).
cnf(refute_0_431,plain,
join(converse(X0),converse(complement(join(converse(X_6),X0)))) = converse(join(X0,complement(join(converse(X_6),X0)))),
inference(subst,[],[refute_0_430:[bind(X1,$fot(complement(join(converse(X_6),X0))))]]) ).
cnf(refute_0_432,plain,
join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))) = join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))),
introduced(tautology,[refl,[$fot(join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))))]]) ).
cnf(refute_0_433,plain,
( join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))) != join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0)))))
| join(converse(X0),converse(complement(join(converse(X_6),X0)))) != converse(join(X0,complement(join(converse(X_6),X0))))
| join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))),join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0)))))) ),[1,1],$fot(converse(join(X0,complement(join(converse(X_6),X0)))))]]) ).
cnf(refute_0_434,plain,
( join(converse(X0),converse(complement(join(converse(X_6),X0)))) != converse(join(X0,complement(join(converse(X_6),X0))))
| join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))) ),
inference(resolve,[$cnf( $equal(join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))),join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0)))))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(join(converse(X_6),X0)))),converse(join(X0,complement(join(converse(X_6),X0))))) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_437,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_46,refute_0_436]) ).
cnf(refute_0_438,plain,
join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))) = join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_6)),bind(X1,$fot(converse(X0))),bind(X2,$fot(converse(complement(join(converse(X_6),X0)))))]]) ).
cnf(refute_0_439,plain,
( join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))) != join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))
| join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))) != join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0)))))
| join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))))),bind(Y,$fot(join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))))),bind(Z,$fot(join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))))]]) ).
cnf(refute_0_440,plain,
( join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))) != join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))
| join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))),join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0)))))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))),
inference(resolve,[$cnf( $equal(join(X_6,join(converse(X0),converse(complement(join(converse(X_6),X0))))),join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))) )],[refute_0_435,refute_0_440]) ).
cnf(refute_0_442,plain,
( converse(top) != join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0))))
| join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))) != join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))
| converse(top) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))) ),[0],$fot(join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))))]]) ).
cnf(refute_0_443,plain,
( converse(top) != join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0))))
| converse(top) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0)))),join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
converse(top) = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_6,converse(X0)),converse(complement(join(converse(X_6),X0))))) )],[refute_0_428,refute_0_443]) ).
cnf(refute_0_445,plain,
converse(composition(converse(top),top)) = composition(converse(top),converse(converse(top))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(converse(top))),bind(X1,$fot(top))]]) ).
cnf(refute_0_446,plain,
join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) = complement(zero),
inference(subst,[],[refute_0_55:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_447,plain,
converse(composition(X_13,converse(X0))) = composition(converse(converse(X0)),converse(X_13)),
inference(subst,[],[refute_0_57:[bind(X0,$fot(X_13)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_448,plain,
( converse(composition(X_13,converse(X0))) != composition(converse(converse(X0)),converse(X_13))
| converse(converse(X0)) != X0
| converse(composition(X_13,converse(X0))) = composition(X0,converse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_13,converse(X0))),composition(converse(converse(X0)),converse(X_13))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_449,plain,
( converse(composition(X_13,converse(X0))) != composition(converse(converse(X0)),converse(X_13))
| converse(composition(X_13,converse(X0))) = composition(X0,converse(X_13)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_448]) ).
cnf(refute_0_450,plain,
converse(composition(X_13,converse(X0))) = composition(X0,converse(X_13)),
inference(resolve,[$cnf( $equal(converse(composition(X_13,converse(X0))),composition(converse(converse(X0)),converse(X_13))) )],[refute_0_447,refute_0_449]) ).
cnf(refute_0_451,plain,
converse(composition(zero,converse(X0))) = composition(X0,converse(zero)),
inference(subst,[],[refute_0_450:[bind(X_13,$fot(zero))]]) ).
cnf(refute_0_452,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_453,plain,
composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) = join(composition(X_108,X_110),composition(converse(complement(composition(X_110,top))),X_110)),
inference(subst,[],[refute_0_452:[bind(X0,$fot(X_108)),bind(X1,$fot(converse(complement(composition(X_110,top))))),bind(X2,$fot(X_110))]]) ).
cnf(refute_0_454,plain,
converse(composition(converse(X0),complement(composition(converse(converse(X0)),top)))) = composition(converse(complement(composition(converse(converse(X0)),top))),X0),
inference(subst,[],[refute_0_62:[bind(X_14,$fot(complement(composition(converse(converse(X0)),top))))]]) ).
cnf(refute_0_455,plain,
join(complement(X_21),composition(converse(converse(X0)),complement(composition(converse(X0),X_21)))) = complement(X_21),
inference(subst,[],[refute_0_55:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_21))]]) ).
cnf(refute_0_456,plain,
( converse(converse(X0)) != X0
| join(complement(X_21),composition(converse(converse(X0)),complement(composition(converse(X0),X_21)))) != complement(X_21)
| join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21)))) = complement(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_21),composition(converse(converse(X0)),complement(composition(converse(X0),X_21)))),complement(X_21)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_457,plain,
( join(complement(X_21),composition(converse(converse(X0)),complement(composition(converse(X0),X_21)))) != complement(X_21)
| join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21)))) = complement(X_21) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_456]) ).
cnf(refute_0_458,plain,
join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21)))) = complement(X_21),
inference(resolve,[$cnf( $equal(join(complement(X_21),composition(converse(converse(X0)),complement(composition(converse(X0),X_21)))),complement(X_21)) )],[refute_0_455,refute_0_457]) ).
cnf(refute_0_459,plain,
join(complement(top),composition(X_81,complement(composition(converse(X_81),top)))) = complement(top),
inference(subst,[],[refute_0_458:[bind(X0,$fot(X_81)),bind(X_21,$fot(top))]]) ).
cnf(refute_0_460,plain,
( complement(top) != zero
| join(complement(top),composition(X_81,complement(composition(converse(X_81),top)))) != complement(top)
| join(zero,composition(X_81,complement(composition(converse(X_81),top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(X_81,complement(composition(converse(X_81),top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_461,plain,
( join(complement(top),composition(X_81,complement(composition(converse(X_81),top)))) != complement(top)
| join(zero,composition(X_81,complement(composition(converse(X_81),top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_460]) ).
cnf(refute_0_462,plain,
join(zero,composition(X_81,complement(composition(converse(X_81),top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(X_81,complement(composition(converse(X_81),top)))),complement(top)) )],[refute_0_459,refute_0_461]) ).
cnf(refute_0_463,plain,
join(zero,composition(X_81,complement(composition(converse(X_81),top)))) = composition(X_81,complement(composition(converse(X_81),top))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(composition(X_81,complement(composition(converse(X_81),top)))))]]) ).
cnf(refute_0_464,plain,
( join(zero,composition(X_81,complement(composition(converse(X_81),top)))) != complement(top)
| join(zero,composition(X_81,complement(composition(converse(X_81),top)))) != composition(X_81,complement(composition(converse(X_81),top)))
| composition(X_81,complement(composition(converse(X_81),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(X_81,complement(composition(converse(X_81),top)))),complement(top)) ),[0],$fot(composition(X_81,complement(composition(converse(X_81),top))))]]) ).
cnf(refute_0_465,plain,
( join(zero,composition(X_81,complement(composition(converse(X_81),top)))) != complement(top)
| composition(X_81,complement(composition(converse(X_81),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_81,complement(composition(converse(X_81),top)))),composition(X_81,complement(composition(converse(X_81),top)))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
( complement(top) != zero
| composition(X_81,complement(composition(converse(X_81),top))) != complement(top)
| composition(X_81,complement(composition(converse(X_81),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_467,plain,
( composition(X_81,complement(composition(converse(X_81),top))) != complement(top)
| composition(X_81,complement(composition(converse(X_81),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_466]) ).
cnf(refute_0_468,plain,
( join(zero,composition(X_81,complement(composition(converse(X_81),top)))) != complement(top)
| composition(X_81,complement(composition(converse(X_81),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),top))),complement(top)) )],[refute_0_465,refute_0_467]) ).
cnf(refute_0_469,plain,
composition(X_81,complement(composition(converse(X_81),top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(X_81,complement(composition(converse(X_81),top)))),complement(top)) )],[refute_0_462,refute_0_468]) ).
cnf(refute_0_470,plain,
composition(converse(X0),complement(composition(converse(converse(X0)),top))) = zero,
inference(subst,[],[refute_0_469:[bind(X_81,$fot(converse(X0)))]]) ).
cnf(refute_0_471,plain,
( composition(converse(X0),complement(composition(converse(converse(X0)),top))) != zero
| converse(composition(converse(X0),complement(composition(converse(converse(X0)),top)))) != composition(converse(complement(composition(converse(converse(X0)),top))),X0)
| converse(zero) = composition(converse(complement(composition(converse(converse(X0)),top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),complement(composition(converse(converse(X0)),top)))),composition(converse(complement(composition(converse(converse(X0)),top))),X0)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_472,plain,
( converse(composition(converse(X0),complement(composition(converse(converse(X0)),top)))) != composition(converse(complement(composition(converse(converse(X0)),top))),X0)
| converse(zero) = composition(converse(complement(composition(converse(converse(X0)),top))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(composition(converse(converse(X0)),top))),zero) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
converse(zero) = composition(converse(complement(composition(converse(converse(X0)),top))),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),complement(composition(converse(converse(X0)),top)))),composition(converse(complement(composition(converse(converse(X0)),top))),X0)) )],[refute_0_454,refute_0_472]) ).
cnf(refute_0_474,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_475,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_476,plain,
join(zero,join(zero,converse(complement(converse(zero))))) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_128:[bind(X_65,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_477,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_420:[bind(X_10,$fot(zero))]]) ).
cnf(refute_0_478,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_479,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| join(zero,join(zero,converse(complement(converse(zero))))) != join(zero,converse(complement(converse(zero))))
| join(zero,join(zero,converse(complement(converse(zero))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,converse(complement(converse(zero))))),join(zero,converse(complement(converse(zero))))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_481,plain,
( join(zero,join(zero,converse(complement(converse(zero))))) != join(zero,converse(complement(converse(zero))))
| join(zero,join(zero,converse(complement(converse(zero))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
join(zero,join(zero,converse(complement(converse(zero))))) = converse(top),
inference(resolve,[$cnf( $equal(join(zero,join(zero,converse(complement(converse(zero))))),join(zero,converse(complement(converse(zero))))) )],[refute_0_476,refute_0_481]) ).
cnf(refute_0_483,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_484,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(zero,join(zero,converse(complement(converse(zero))))) != join(zero,converse(complement(converse(zero))))
| join(zero,join(zero,converse(complement(converse(zero))))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,join(zero,converse(complement(converse(zero))))))),bind(Y,$fot(join(zero,converse(complement(converse(zero)))))),bind(Z,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_485,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(zero,join(zero,converse(complement(converse(zero))))) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,converse(complement(converse(zero))))),join(zero,converse(complement(converse(zero))))) )],[refute_0_476,refute_0_484]) ).
cnf(refute_0_486,plain,
join(zero,join(zero,converse(complement(converse(zero))))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_483,refute_0_485]) ).
cnf(refute_0_487,plain,
( join(zero,join(zero,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| join(zero,join(zero,converse(complement(converse(zero))))) != converse(top)
| converse(complement(converse(zero))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,converse(complement(converse(zero))))),converse(top)) ),[0],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_488,plain,
( join(zero,join(zero,converse(complement(converse(zero))))) != converse(top)
| converse(complement(converse(zero))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,converse(complement(converse(zero))))),converse(complement(converse(zero)))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
converse(complement(converse(zero))) = converse(top),
inference(resolve,[$cnf( $equal(join(zero,join(zero,converse(complement(converse(zero))))),converse(top)) )],[refute_0_482,refute_0_488]) ).
cnf(refute_0_490,plain,
( converse(complement(converse(zero))) != converse(top)
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(converse(top)) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_491,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(converse(top)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),converse(top)) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
converse(converse(top)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_475,refute_0_491]) ).
cnf(refute_0_493,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_59:[bind(X0,$fot(top))]]) ).
cnf(refute_0_494,plain,
( converse(converse(top)) != complement(converse(zero))
| converse(converse(top)) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_495,plain,
( converse(converse(top)) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_498,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_500,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_474,refute_0_500]) ).
cnf(refute_0_502,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_0:[bind(X1,$fot(top))]]) ).
cnf(refute_0_503,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_504,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_503]) ).
cnf(refute_0_505,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_502,refute_0_504]) ).
cnf(refute_0_506,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_371:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_507,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_508,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_509,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_510,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_507,refute_0_510]) ).
cnf(refute_0_512,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_513,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_506,refute_0_513]) ).
cnf(refute_0_515,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_516,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_505,refute_0_516]) ).
cnf(refute_0_518,plain,
meet(top,X0) = X0,
inference(subst,[],[refute_0_315:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_519,plain,
( meet(X0,top) != meet(top,X0)
| meet(top,X0) != X0
| meet(X0,top) = X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X0,top),X0) ),[0],$fot(meet(top,X0))]]) ).
cnf(refute_0_520,plain,
( meet(X0,top) != meet(top,X0)
| meet(X0,top) = X0 ),
inference(resolve,[$cnf( $equal(meet(top,X0),X0) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
meet(X0,top) = X0,
inference(resolve,[$cnf( $equal(meet(X0,top),meet(top,X0)) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_521:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_523,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_524,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_501,refute_0_524]) ).
cnf(refute_0_526,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_527,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( converse(zero) != composition(converse(complement(composition(converse(converse(X0)),top))),X0)
| converse(zero) != zero
| zero = composition(converse(complement(composition(converse(converse(X0)),top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(converse(converse(X0)),top))),X0)) ),[0],$fot(zero)]]) ).
cnf(refute_0_529,plain,
( converse(zero) != composition(converse(complement(composition(converse(converse(X0)),top))),X0)
| zero = composition(converse(complement(composition(converse(converse(X0)),top))),X0) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
composition(converse(converse(X0)),top) = composition(converse(converse(X0)),top),
introduced(tautology,[refl,[$fot(composition(converse(converse(X0)),top))]]) ).
cnf(refute_0_531,plain,
( composition(converse(converse(X0)),top) != composition(converse(converse(X0)),top)
| converse(converse(X0)) != X0
| composition(converse(converse(X0)),top) = composition(X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X0)),top),composition(converse(converse(X0)),top)) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_532,plain,
( converse(converse(X0)) != X0
| composition(converse(converse(X0)),top) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X0)),top),composition(converse(converse(X0)),top)) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
composition(converse(converse(X0)),top) = composition(X0,top),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_532]) ).
cnf(refute_0_534,plain,
complement(composition(converse(converse(X0)),top)) = complement(composition(converse(converse(X0)),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(converse(X0)),top)))]]) ).
cnf(refute_0_535,plain,
( complement(composition(converse(converse(X0)),top)) != complement(composition(converse(converse(X0)),top))
| composition(converse(converse(X0)),top) != composition(X0,top)
| complement(composition(converse(converse(X0)),top)) = complement(composition(X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(converse(X0)),top)),complement(composition(converse(converse(X0)),top))) ),[1,0],$fot(composition(X0,top))]]) ).
cnf(refute_0_536,plain,
( composition(converse(converse(X0)),top) != composition(X0,top)
| complement(composition(converse(converse(X0)),top)) = complement(composition(X0,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(converse(X0)),top)),complement(composition(converse(converse(X0)),top))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
complement(composition(converse(converse(X0)),top)) = complement(composition(X0,top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(X0)),top),composition(X0,top)) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
converse(complement(composition(converse(converse(X0)),top))) = converse(complement(composition(converse(converse(X0)),top))),
introduced(tautology,[refl,[$fot(converse(complement(composition(converse(converse(X0)),top))))]]) ).
cnf(refute_0_539,plain,
( complement(composition(converse(converse(X0)),top)) != complement(composition(X0,top))
| converse(complement(composition(converse(converse(X0)),top))) != converse(complement(composition(converse(converse(X0)),top)))
| converse(complement(composition(converse(converse(X0)),top))) = converse(complement(composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(converse(converse(X0)),top))),converse(complement(composition(converse(converse(X0)),top)))) ),[1,0],$fot(complement(composition(X0,top)))]]) ).
cnf(refute_0_540,plain,
( complement(composition(converse(converse(X0)),top)) != complement(composition(X0,top))
| converse(complement(composition(converse(converse(X0)),top))) = converse(complement(composition(X0,top))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(converse(converse(X0)),top))),converse(complement(composition(converse(converse(X0)),top)))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
converse(complement(composition(converse(converse(X0)),top))) = converse(complement(composition(X0,top))),
inference(resolve,[$cnf( $equal(complement(composition(converse(converse(X0)),top)),complement(composition(X0,top))) )],[refute_0_537,refute_0_540]) ).
cnf(refute_0_542,plain,
composition(converse(complement(composition(converse(converse(X0)),top))),X0) = composition(converse(complement(composition(converse(converse(X0)),top))),X0),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(converse(converse(X0)),top))),X0))]]) ).
cnf(refute_0_543,plain,
( composition(converse(complement(composition(converse(converse(X0)),top))),X0) != composition(converse(complement(composition(converse(converse(X0)),top))),X0)
| converse(complement(composition(converse(converse(X0)),top))) != converse(complement(composition(X0,top)))
| composition(converse(complement(composition(converse(converse(X0)),top))),X0) = composition(converse(complement(composition(X0,top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(converse(converse(X0)),top))),X0),composition(converse(complement(composition(converse(converse(X0)),top))),X0)) ),[1,0],$fot(converse(complement(composition(X0,top))))]]) ).
cnf(refute_0_544,plain,
( converse(complement(composition(converse(converse(X0)),top))) != converse(complement(composition(X0,top)))
| composition(converse(complement(composition(converse(converse(X0)),top))),X0) = composition(converse(complement(composition(X0,top))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(converse(converse(X0)),top))),X0),composition(converse(complement(composition(converse(converse(X0)),top))),X0)) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
composition(converse(complement(composition(converse(converse(X0)),top))),X0) = composition(converse(complement(composition(X0,top))),X0),
inference(resolve,[$cnf( $equal(converse(complement(composition(converse(converse(X0)),top))),converse(complement(composition(X0,top)))) )],[refute_0_541,refute_0_544]) ).
cnf(refute_0_546,plain,
( composition(converse(complement(composition(converse(converse(X0)),top))),X0) != composition(converse(complement(composition(X0,top))),X0)
| zero != composition(converse(complement(composition(converse(converse(X0)),top))),X0)
| zero = composition(converse(complement(composition(X0,top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(converse(converse(X0)),top))),X0)) ),[1],$fot(composition(converse(complement(composition(X0,top))),X0))]]) ).
cnf(refute_0_547,plain,
( zero != composition(converse(complement(composition(converse(converse(X0)),top))),X0)
| zero = composition(converse(complement(composition(X0,top))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(converse(converse(X0)),top))),X0),composition(converse(complement(composition(X0,top))),X0)) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
( converse(zero) != composition(converse(complement(composition(converse(converse(X0)),top))),X0)
| zero = composition(converse(complement(composition(X0,top))),X0) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(converse(converse(X0)),top))),X0)) )],[refute_0_529,refute_0_547]) ).
cnf(refute_0_549,plain,
zero = composition(converse(complement(composition(X0,top))),X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(converse(converse(X0)),top))),X0)) )],[refute_0_473,refute_0_548]) ).
cnf(refute_0_550,plain,
zero = composition(converse(complement(composition(X_110,top))),X_110),
inference(subst,[],[refute_0_549:[bind(X0,$fot(X_110))]]) ).
cnf(refute_0_551,plain,
( zero != composition(converse(complement(composition(X_110,top))),X_110)
| composition(converse(complement(composition(X_110,top))),X_110) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X_110,top))),X_110)))]]) ).
cnf(refute_0_552,plain,
composition(converse(complement(composition(X_110,top))),X_110) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_110,top))),X_110)) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
( composition(converse(complement(composition(X_110,top))),X_110) != zero
| composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) != join(composition(X_108,X_110),composition(converse(complement(composition(X_110,top))),X_110))
| composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) = join(composition(X_108,X_110),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,converse(complement(composition(X_110,top)))),X_110),join(composition(X_108,X_110),composition(converse(complement(composition(X_110,top))),X_110))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_554,plain,
( composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) != join(composition(X_108,X_110),composition(converse(complement(composition(X_110,top))),X_110))
| composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) = join(composition(X_108,X_110),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_110,top))),X_110),zero) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) = join(composition(X_108,X_110),zero),
inference(resolve,[$cnf( $equal(composition(join(X_108,converse(complement(composition(X_110,top)))),X_110),join(composition(X_108,X_110),composition(converse(complement(composition(X_110,top))),X_110))) )],[refute_0_453,refute_0_554]) ).
cnf(refute_0_556,plain,
join(zero,join(zero,X_66)) = join(zero,X_66),
inference(subst,[],[refute_0_128:[bind(X_65,$fot(X_66))]]) ).
cnf(refute_0_557,plain,
join(X_66,zero) = join(zero,X_66),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_66)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_558,plain,
( join(X_66,zero) != join(zero,X_66)
| join(zero,X_66) = join(X_66,zero) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_66,zero))),bind(Y,$fot(join(zero,X_66)))]]) ).
cnf(refute_0_559,plain,
join(zero,X_66) = join(X_66,zero),
inference(resolve,[$cnf( $equal(join(X_66,zero),join(zero,X_66)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
( join(zero,X_66) != join(X_66,zero)
| join(zero,join(zero,X_66)) != join(zero,X_66)
| join(zero,join(zero,X_66)) = join(X_66,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_66)),join(zero,X_66)) ),[1],$fot(join(X_66,zero))]]) ).
cnf(refute_0_561,plain,
( join(zero,join(zero,X_66)) != join(zero,X_66)
| join(zero,join(zero,X_66)) = join(X_66,zero) ),
inference(resolve,[$cnf( $equal(join(zero,X_66),join(X_66,zero)) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
join(zero,join(zero,X_66)) = join(X_66,zero),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_66)),join(zero,X_66)) )],[refute_0_556,refute_0_561]) ).
cnf(refute_0_563,plain,
join(zero,X_66) = X_66,
inference(subst,[],[refute_0_178:[bind(X_31,$fot(X_66))]]) ).
cnf(refute_0_564,plain,
( join(zero,X_66) != X_66
| join(zero,join(zero,X_66)) != join(zero,X_66)
| join(zero,join(zero,X_66)) = X_66 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,join(zero,X_66)))),bind(Y,$fot(join(zero,X_66))),bind(Z,$fot(X_66))]]) ).
cnf(refute_0_565,plain,
( join(zero,X_66) != X_66
| join(zero,join(zero,X_66)) = X_66 ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_66)),join(zero,X_66)) )],[refute_0_556,refute_0_564]) ).
cnf(refute_0_566,plain,
join(zero,join(zero,X_66)) = X_66,
inference(resolve,[$cnf( $equal(join(zero,X_66),X_66) )],[refute_0_563,refute_0_565]) ).
cnf(refute_0_567,plain,
( join(zero,join(zero,X_66)) != X_66
| join(zero,join(zero,X_66)) != join(X_66,zero)
| X_66 = join(X_66,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_66)),join(X_66,zero)) ),[0],$fot(X_66)]]) ).
cnf(refute_0_568,plain,
( join(zero,join(zero,X_66)) != join(X_66,zero)
| X_66 = join(X_66,zero) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_66)),X_66) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
X_66 = join(X_66,zero),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_66)),join(X_66,zero)) )],[refute_0_562,refute_0_568]) ).
cnf(refute_0_570,plain,
( X_66 != join(X_66,zero)
| join(X_66,zero) = X_66 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_66)),bind(Y,$fot(join(X_66,zero)))]]) ).
cnf(refute_0_571,plain,
join(X_66,zero) = X_66,
inference(resolve,[$cnf( $equal(X_66,join(X_66,zero)) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
join(composition(X_108,X_110),zero) = composition(X_108,X_110),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(composition(X_108,X_110)))]]) ).
cnf(refute_0_573,plain,
( composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) != join(composition(X_108,X_110),zero)
| join(composition(X_108,X_110),zero) != composition(X_108,X_110)
| composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) = composition(X_108,X_110) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_108,converse(complement(composition(X_110,top)))),X_110),composition(X_108,X_110)) ),[0],$fot(join(composition(X_108,X_110),zero))]]) ).
cnf(refute_0_574,plain,
( composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) != join(composition(X_108,X_110),zero)
| composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) = composition(X_108,X_110) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,X_110),zero),composition(X_108,X_110)) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
composition(join(X_108,converse(complement(composition(X_110,top)))),X_110) = composition(X_108,X_110),
inference(resolve,[$cnf( $equal(composition(join(X_108,converse(complement(composition(X_110,top)))),X_110),join(composition(X_108,X_110),zero)) )],[refute_0_555,refute_0_574]) ).
cnf(refute_0_576,plain,
composition(join(zero,converse(complement(composition(X_122,top)))),X_122) = composition(zero,X_122),
inference(subst,[],[refute_0_575:[bind(X_108,$fot(zero)),bind(X_110,$fot(X_122))]]) ).
cnf(refute_0_577,plain,
join(zero,converse(complement(composition(X_122,top)))) = converse(complement(composition(X_122,top))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(converse(complement(composition(X_122,top)))))]]) ).
cnf(refute_0_578,plain,
( composition(join(zero,converse(complement(composition(X_122,top)))),X_122) != composition(zero,X_122)
| join(zero,converse(complement(composition(X_122,top)))) != converse(complement(composition(X_122,top)))
| composition(converse(complement(composition(X_122,top))),X_122) = composition(zero,X_122) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(zero,converse(complement(composition(X_122,top)))),X_122),composition(zero,X_122)) ),[0,0],$fot(converse(complement(composition(X_122,top))))]]) ).
cnf(refute_0_579,plain,
( composition(join(zero,converse(complement(composition(X_122,top)))),X_122) != composition(zero,X_122)
| composition(converse(complement(composition(X_122,top))),X_122) = composition(zero,X_122) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(composition(X_122,top)))),converse(complement(composition(X_122,top)))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
composition(converse(complement(composition(X_122,top))),X_122) = composition(zero,X_122),
inference(resolve,[$cnf( $equal(composition(join(zero,converse(complement(composition(X_122,top)))),X_122),composition(zero,X_122)) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
( zero != composition(converse(complement(composition(X0,top))),X0)
| composition(converse(complement(composition(X0,top))),X0) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X0,top))),X0)))]]) ).
cnf(refute_0_582,plain,
composition(converse(complement(composition(X0,top))),X0) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X0,top))),X0)) )],[refute_0_549,refute_0_581]) ).
cnf(refute_0_583,plain,
composition(converse(complement(composition(X_122,top))),X_122) = zero,
inference(subst,[],[refute_0_582:[bind(X0,$fot(X_122))]]) ).
cnf(refute_0_584,plain,
( composition(converse(complement(composition(X_122,top))),X_122) != composition(zero,X_122)
| composition(converse(complement(composition(X_122,top))),X_122) != zero
| zero = composition(zero,X_122) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(X_122,top))),X_122),composition(zero,X_122)) ),[0],$fot(zero)]]) ).
cnf(refute_0_585,plain,
( composition(converse(complement(composition(X_122,top))),X_122) != composition(zero,X_122)
| zero = composition(zero,X_122) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_122,top))),X_122),zero) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
zero = composition(zero,X_122),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_122,top))),X_122),composition(zero,X_122)) )],[refute_0_580,refute_0_585]) ).
cnf(refute_0_587,plain,
zero = composition(zero,converse(X0)),
inference(subst,[],[refute_0_586:[bind(X_122,$fot(converse(X0)))]]) ).
cnf(refute_0_588,plain,
( zero != composition(zero,converse(X0))
| composition(zero,converse(X0)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,converse(X0))))]]) ).
cnf(refute_0_589,plain,
composition(zero,converse(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(zero,converse(X0))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
( composition(zero,converse(X0)) != zero
| converse(composition(zero,converse(X0))) != composition(X0,converse(zero))
| converse(zero) = composition(X0,converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(zero,converse(X0))),composition(X0,converse(zero))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_591,plain,
( converse(composition(zero,converse(X0))) != composition(X0,converse(zero))
| converse(zero) = composition(X0,converse(zero)) ),
inference(resolve,[$cnf( $equal(composition(zero,converse(X0)),zero) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
converse(zero) = composition(X0,converse(zero)),
inference(resolve,[$cnf( $equal(converse(composition(zero,converse(X0))),composition(X0,converse(zero))) )],[refute_0_451,refute_0_591]) ).
cnf(refute_0_593,plain,
( converse(zero) != composition(X0,converse(zero))
| converse(zero) != zero
| zero = composition(X0,converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(X0,converse(zero))) ),[0],$fot(zero)]]) ).
cnf(refute_0_594,plain,
( converse(zero) != composition(X0,converse(zero))
| zero = composition(X0,converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_593]) ).
cnf(refute_0_595,plain,
composition(X0,converse(zero)) = composition(X0,converse(zero)),
introduced(tautology,[refl,[$fot(composition(X0,converse(zero)))]]) ).
cnf(refute_0_596,plain,
( composition(X0,converse(zero)) != composition(X0,converse(zero))
| converse(zero) != zero
| composition(X0,converse(zero)) = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(zero)),composition(X0,converse(zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_597,plain,
( converse(zero) != zero
| composition(X0,converse(zero)) = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(zero)),composition(X0,converse(zero))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
composition(X0,converse(zero)) = composition(X0,zero),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_597]) ).
cnf(refute_0_599,plain,
( composition(X0,converse(zero)) != composition(X0,zero)
| zero != composition(X0,converse(zero))
| zero = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(X0,converse(zero))) ),[1],$fot(composition(X0,zero))]]) ).
cnf(refute_0_600,plain,
( zero != composition(X0,converse(zero))
| zero = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(zero)),composition(X0,zero)) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
( converse(zero) != composition(X0,converse(zero))
| zero = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(zero,composition(X0,converse(zero))) )],[refute_0_594,refute_0_600]) ).
cnf(refute_0_602,plain,
zero = composition(X0,zero),
inference(resolve,[$cnf( $equal(converse(zero),composition(X0,converse(zero))) )],[refute_0_592,refute_0_601]) ).
cnf(refute_0_603,plain,
( zero != composition(X0,zero)
| composition(X0,zero) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(X0,zero)))]]) ).
cnf(refute_0_604,plain,
composition(X0,zero) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X0,zero)) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
( composition(X0,zero) != zero
| join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))) != complement(zero)
| join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))),complement(zero)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_606,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( $equal(composition(X0,zero),zero) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(composition(X0,zero)))),complement(zero)) )],[refute_0_446,refute_0_606]) ).
cnf(refute_0_608,plain,
X_31 = join(meet(X_31,complement(X1)),complement(join(complement(X_31),complement(X1)))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_31)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_609,plain,
meet(X_31,X1) = complement(join(complement(X_31),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(X_31))]]) ).
cnf(refute_0_610,plain,
( meet(X_31,X1) != complement(join(complement(X_31),complement(X1)))
| complement(join(complement(X_31),complement(X1))) = meet(X_31,X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_31,X1))),bind(Y,$fot(complement(join(complement(X_31),complement(X1)))))]]) ).
cnf(refute_0_611,plain,
complement(join(complement(X_31),complement(X1))) = meet(X_31,X1),
inference(resolve,[$cnf( $equal(meet(X_31,X1),complement(join(complement(X_31),complement(X1)))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
( X_31 != join(meet(X_31,complement(X1)),complement(join(complement(X_31),complement(X1))))
| complement(join(complement(X_31),complement(X1))) != meet(X_31,X1)
| X_31 = join(meet(X_31,complement(X1)),meet(X_31,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_31,join(meet(X_31,complement(X1)),complement(join(complement(X_31),complement(X1))))) ),[1,1],$fot(meet(X_31,X1))]]) ).
cnf(refute_0_613,plain,
( X_31 != join(meet(X_31,complement(X1)),complement(join(complement(X_31),complement(X1))))
| X_31 = join(meet(X_31,complement(X1)),meet(X_31,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_31),complement(X1))),meet(X_31,X1)) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
X_31 = join(meet(X_31,complement(X1)),meet(X_31,X1)),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,complement(X1)),complement(join(complement(X_31),complement(X1))))) )],[refute_0_608,refute_0_613]) ).
cnf(refute_0_615,plain,
join(meet(X_31,complement(X1)),meet(X_31,X1)) = join(meet(X_31,X1),meet(X_31,complement(X1))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(meet(X_31,X1))),bind(X1,$fot(meet(X_31,complement(X1))))]]) ).
cnf(refute_0_616,plain,
( X_31 != join(meet(X_31,complement(X1)),meet(X_31,X1))
| join(meet(X_31,complement(X1)),meet(X_31,X1)) != join(meet(X_31,X1),meet(X_31,complement(X1)))
| X_31 = join(meet(X_31,X1),meet(X_31,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_31,join(meet(X_31,X1),meet(X_31,complement(X1)))) ),[0],$fot(join(meet(X_31,complement(X1)),meet(X_31,X1)))]]) ).
cnf(refute_0_617,plain,
( X_31 != join(meet(X_31,complement(X1)),meet(X_31,X1))
| X_31 = join(meet(X_31,X1),meet(X_31,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_31,complement(X1)),meet(X_31,X1)),join(meet(X_31,X1),meet(X_31,complement(X1)))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
X_31 = join(meet(X_31,X1),meet(X_31,complement(X1))),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,complement(X1)),meet(X_31,X1))) )],[refute_0_614,refute_0_617]) ).
cnf(refute_0_619,plain,
X_44 = join(meet(X_44,top),meet(X_44,complement(top))),
inference(subst,[],[refute_0_618:[bind(X1,$fot(top)),bind(X_31,$fot(X_44))]]) ).
cnf(refute_0_620,plain,
( X_44 != join(meet(X_44,top),meet(X_44,complement(top)))
| complement(top) != zero
| X_44 = join(meet(X_44,top),meet(X_44,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_44,join(meet(X_44,top),meet(X_44,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_621,plain,
( X_44 != join(meet(X_44,top),meet(X_44,complement(top)))
| X_44 = join(meet(X_44,top),meet(X_44,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_620]) ).
cnf(refute_0_622,plain,
X_44 = join(meet(X_44,top),meet(X_44,zero)),
inference(resolve,[$cnf( $equal(X_44,join(meet(X_44,top),meet(X_44,complement(top)))) )],[refute_0_619,refute_0_621]) ).
cnf(refute_0_623,plain,
X_45 = join(meet(X_45,top),meet(X_45,zero)),
inference(subst,[],[refute_0_622:[bind(X_44,$fot(X_45))]]) ).
cnf(refute_0_624,plain,
meet(zero,X_45) = meet(X_45,zero),
inference(subst,[],[refute_0_352:[bind(X_24,$fot(zero)),bind(X_25,$fot(X_45))]]) ).
cnf(refute_0_625,plain,
( meet(zero,X_45) != meet(X_45,zero)
| meet(X_45,zero) = meet(zero,X_45) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(zero,X_45))),bind(Y,$fot(meet(X_45,zero)))]]) ).
cnf(refute_0_626,plain,
meet(X_45,zero) = meet(zero,X_45),
inference(resolve,[$cnf( $equal(meet(zero,X_45),meet(X_45,zero)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
( X_45 != join(meet(X_45,top),meet(X_45,zero))
| meet(X_45,zero) != meet(zero,X_45)
| X_45 = join(meet(X_45,top),meet(zero,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(X_45,join(meet(X_45,top),meet(X_45,zero))) ),[1,1],$fot(meet(zero,X_45))]]) ).
cnf(refute_0_628,plain,
( X_45 != join(meet(X_45,top),meet(X_45,zero))
| X_45 = join(meet(X_45,top),meet(zero,X_45)) ),
inference(resolve,[$cnf( $equal(meet(X_45,zero),meet(zero,X_45)) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
X_45 = join(meet(X_45,top),meet(zero,X_45)),
inference(resolve,[$cnf( $equal(X_45,join(meet(X_45,top),meet(X_45,zero))) )],[refute_0_623,refute_0_628]) ).
cnf(refute_0_630,plain,
complement(zero) = join(meet(complement(zero),top),meet(zero,complement(zero))),
inference(subst,[],[refute_0_629:[bind(X_45,$fot(complement(zero)))]]) ).
cnf(refute_0_631,plain,
zero = meet(zero,complement(zero)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_632,plain,
( zero != meet(zero,complement(zero))
| meet(zero,complement(zero)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(zero))))]]) ).
cnf(refute_0_633,plain,
meet(zero,complement(zero)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(zero))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| meet(zero,complement(zero)) != zero
| complement(zero) = join(meet(complement(zero),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_635,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| complement(zero) = join(meet(complement(zero),top),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) )],[refute_0_630,refute_0_635]) ).
cnf(refute_0_637,plain,
join(zero,complement(zero)) = top,
inference(subst,[],[refute_0_16:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_638,plain,
meet(top,complement(zero)) = complement(zero),
inference(subst,[],[refute_0_222:[bind(X_33,$fot(zero))]]) ).
cnf(refute_0_639,plain,
meet(complement(zero),top) = meet(top,complement(zero)),
inference(subst,[],[refute_0_517:[bind(X0,$fot(complement(zero)))]]) ).
cnf(refute_0_640,plain,
( meet(complement(zero),top) != meet(top,complement(zero))
| meet(top,complement(zero)) != complement(zero)
| meet(complement(zero),top) = complement(zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(zero),top))),bind(Y,$fot(meet(top,complement(zero)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_641,plain,
( meet(top,complement(zero)) != complement(zero)
| meet(complement(zero),top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
meet(complement(zero),top) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),complement(zero)) )],[refute_0_638,refute_0_641]) ).
cnf(refute_0_643,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).
cnf(refute_0_644,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| meet(complement(zero),top) != complement(zero)
| join(zero,meet(complement(zero),top)) = join(zero,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_645,plain,
( meet(complement(zero),top) != complement(zero)
| join(zero,meet(complement(zero),top)) = join(zero,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
join(zero,meet(complement(zero),top)) = join(zero,complement(zero)),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),complement(zero)) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(zero),top)) != join(zero,complement(zero))
| join(zero,meet(complement(zero),top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(zero,meet(complement(zero),top)))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_648,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,complement(zero))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
join(zero,meet(complement(zero),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_637,refute_0_648]) ).
cnf(refute_0_650,plain,
join(meet(complement(zero),top),zero) = join(zero,meet(complement(zero),top)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(zero)),bind(X1,$fot(meet(complement(zero),top)))]]) ).
cnf(refute_0_651,plain,
( join(meet(complement(zero),top),zero) != join(zero,meet(complement(zero),top))
| join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(complement(zero),top),zero))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_652,plain,
( join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),join(zero,meet(complement(zero),top))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
join(meet(complement(zero),top),zero) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),top) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| join(meet(complement(zero),top),zero) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),zero))]]) ).
cnf(refute_0_655,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),top) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),zero)) )],[refute_0_636,refute_0_655]) ).
cnf(refute_0_657,plain,
composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(join(one,X0)),complement(zero)))]]) ).
cnf(refute_0_658,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_659,plain,
( complement(zero) != top
| composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),complement(zero)),composition(converse(join(one,X0)),complement(zero))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
composition(converse(join(one,X0)),complement(zero)) = composition(converse(join(one,X0)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_659]) ).
cnf(refute_0_661,plain,
converse(join(converse(one),X_7)) = join(one,converse(X_7)),
inference(subst,[],[refute_0_413:[bind(X0,$fot(one))]]) ).
cnf(refute_0_662,plain,
( converse(join(converse(one),X_7)) != join(one,converse(X_7))
| converse(one) != one
| converse(join(one,X_7)) = join(one,converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_7)),join(one,converse(X_7))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_663,plain,
( converse(join(converse(one),X_7)) != join(one,converse(X_7))
| converse(join(one,X_7)) = join(one,converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_662]) ).
cnf(refute_0_664,plain,
converse(join(one,X_7)) = join(one,converse(X_7)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_7)),join(one,converse(X_7))) )],[refute_0_661,refute_0_663]) ).
cnf(refute_0_665,plain,
( converse(join(one,X_7)) != join(one,converse(X_7))
| join(one,converse(X_7)) = converse(join(one,X_7)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,X_7)))),bind(Y,$fot(join(one,converse(X_7))))]]) ).
cnf(refute_0_666,plain,
join(one,converse(X_7)) = converse(join(one,X_7)),
inference(resolve,[$cnf( $equal(converse(join(one,X_7)),join(one,converse(X_7))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
join(one,converse(X0)) = converse(join(one,X0)),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(X0))]]) ).
cnf(refute_0_668,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(join(one,converse(X0)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(X0)),complement(zero)))]]) ).
cnf(refute_0_669,plain,
( composition(join(one,converse(X0)),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
| join(one,converse(X0)) != converse(join(one,X0))
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)) ),
introduced(tautology,[equality,[$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_670,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( $equal(composition(join(one,converse(X0)),complement(zero)),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),complement(zero)),
inference(resolve,[$cnf( $equal(join(one,converse(X0)),converse(join(one,X0))) )],[refute_0_667,refute_0_670]) ).
cnf(refute_0_672,plain,
( composition(converse(join(one,X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| composition(join(one,converse(X0)),complement(zero)) != composition(converse(join(one,X0)),complement(zero))
| composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$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_673,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( $equal(composition(join(one,converse(X0)),complement(zero)),composition(converse(join(one,X0)),complement(zero))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
composition(join(one,converse(X0)),complement(zero)) = composition(converse(join(one,X0)),top),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),complement(zero)),composition(converse(join(one,X0)),top)) )],[refute_0_660,refute_0_673]) ).
cnf(refute_0_675,plain,
composition(join(X_108,one),X_110) = join(composition(X_108,X_110),composition(one,X_110)),
inference(subst,[],[refute_0_452:[bind(X0,$fot(X_108)),bind(X1,$fot(one)),bind(X2,$fot(X_110))]]) ).
cnf(refute_0_676,plain,
X_110 = composition(one,X_110),
inference(subst,[],[refute_0_88:[bind(X_15,$fot(X_110))]]) ).
cnf(refute_0_677,plain,
( X_110 != composition(one,X_110)
| composition(one,X_110) = X_110 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_110)),bind(Y,$fot(composition(one,X_110)))]]) ).
cnf(refute_0_678,plain,
composition(one,X_110) = X_110,
inference(resolve,[$cnf( $equal(X_110,composition(one,X_110)) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
( composition(join(X_108,one),X_110) != join(composition(X_108,X_110),composition(one,X_110))
| composition(one,X_110) != X_110
| composition(join(X_108,one),X_110) = join(composition(X_108,X_110),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,one),X_110),join(composition(X_108,X_110),composition(one,X_110))) ),[1,1],$fot(X_110)]]) ).
cnf(refute_0_680,plain,
( composition(join(X_108,one),X_110) != join(composition(X_108,X_110),composition(one,X_110))
| composition(join(X_108,one),X_110) = join(composition(X_108,X_110),X_110) ),
inference(resolve,[$cnf( $equal(composition(one,X_110),X_110) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
composition(join(X_108,one),X_110) = join(composition(X_108,X_110),X_110),
inference(resolve,[$cnf( $equal(composition(join(X_108,one),X_110),join(composition(X_108,X_110),composition(one,X_110))) )],[refute_0_675,refute_0_680]) ).
cnf(refute_0_682,plain,
join(composition(X_108,X_110),X_110) = join(X_110,composition(X_108,X_110)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(X_110)),bind(X1,$fot(composition(X_108,X_110)))]]) ).
cnf(refute_0_683,plain,
( composition(join(X_108,one),X_110) != join(composition(X_108,X_110),X_110)
| join(composition(X_108,X_110),X_110) != join(X_110,composition(X_108,X_110))
| composition(join(X_108,one),X_110) = join(X_110,composition(X_108,X_110)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_108,one),X_110),join(X_110,composition(X_108,X_110))) ),[0],$fot(join(composition(X_108,X_110),X_110))]]) ).
cnf(refute_0_684,plain,
( composition(join(X_108,one),X_110) != join(composition(X_108,X_110),X_110)
| composition(join(X_108,one),X_110) = join(X_110,composition(X_108,X_110)) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,X_110),X_110),join(X_110,composition(X_108,X_110))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
composition(join(X_108,one),X_110) = join(X_110,composition(X_108,X_110)),
inference(resolve,[$cnf( $equal(composition(join(X_108,one),X_110),join(composition(X_108,X_110),X_110)) )],[refute_0_681,refute_0_684]) ).
cnf(refute_0_686,plain,
composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) = join(X_110,composition(join(X_121,converse(complement(composition(X_110,top)))),X_110)),
inference(subst,[],[refute_0_685:[bind(X_108,$fot(join(X_121,converse(complement(composition(X_110,top))))))]]) ).
cnf(refute_0_687,plain,
composition(join(X_121,converse(complement(composition(X_110,top)))),X_110) = composition(X_121,X_110),
inference(subst,[],[refute_0_575:[bind(X_108,$fot(X_121))]]) ).
cnf(refute_0_688,plain,
( composition(join(X_121,converse(complement(composition(X_110,top)))),X_110) != composition(X_121,X_110)
| composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) != join(X_110,composition(join(X_121,converse(complement(composition(X_110,top)))),X_110))
| composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) = join(X_110,composition(X_121,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110),join(X_110,composition(join(X_121,converse(complement(composition(X_110,top)))),X_110))) ),[1,1],$fot(composition(X_121,X_110))]]) ).
cnf(refute_0_689,plain,
( composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) != join(X_110,composition(join(X_121,converse(complement(composition(X_110,top)))),X_110))
| composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) = join(X_110,composition(X_121,X_110)) ),
inference(resolve,[$cnf( $equal(composition(join(X_121,converse(complement(composition(X_110,top)))),X_110),composition(X_121,X_110)) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) = join(X_110,composition(X_121,X_110)),
inference(resolve,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110),join(X_110,composition(join(X_121,converse(complement(composition(X_110,top)))),X_110))) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
composition(join(X_114,one),X_115) = join(X_115,composition(X_114,X_115)),
inference(subst,[],[refute_0_685:[bind(X_108,$fot(X_114)),bind(X_110,$fot(X_115))]]) ).
cnf(refute_0_692,plain,
join(one,X_114) = join(X_114,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_114))]]) ).
cnf(refute_0_693,plain,
( join(one,X_114) != join(X_114,one)
| join(X_114,one) = join(one,X_114) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_114))),bind(Y,$fot(join(X_114,one)))]]) ).
cnf(refute_0_694,plain,
join(X_114,one) = join(one,X_114),
inference(resolve,[$cnf( $equal(join(one,X_114),join(X_114,one)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
( composition(join(X_114,one),X_115) != join(X_115,composition(X_114,X_115))
| join(X_114,one) != join(one,X_114)
| composition(join(one,X_114),X_115) = join(X_115,composition(X_114,X_115)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_114,one),X_115),join(X_115,composition(X_114,X_115))) ),[0,0],$fot(join(one,X_114))]]) ).
cnf(refute_0_696,plain,
( composition(join(X_114,one),X_115) != join(X_115,composition(X_114,X_115))
| composition(join(one,X_114),X_115) = join(X_115,composition(X_114,X_115)) ),
inference(resolve,[$cnf( $equal(join(X_114,one),join(one,X_114)) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
composition(join(one,X_114),X_115) = join(X_115,composition(X_114,X_115)),
inference(resolve,[$cnf( $equal(composition(join(X_114,one),X_115),join(X_115,composition(X_114,X_115))) )],[refute_0_691,refute_0_696]) ).
cnf(refute_0_698,plain,
( composition(join(X_108,one),X_110) != join(X_110,composition(X_108,X_110))
| join(X_110,composition(X_108,X_110)) = composition(join(X_108,one),X_110) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_108,one),X_110))),bind(Y,$fot(join(X_110,composition(X_108,X_110))))]]) ).
cnf(refute_0_699,plain,
join(X_110,composition(X_108,X_110)) = composition(join(X_108,one),X_110),
inference(resolve,[$cnf( $equal(composition(join(X_108,one),X_110),join(X_110,composition(X_108,X_110))) )],[refute_0_685,refute_0_698]) ).
cnf(refute_0_700,plain,
join(X_115,composition(X_114,X_115)) = composition(join(X_114,one),X_115),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(X_114)),bind(X_110,$fot(X_115))]]) ).
cnf(refute_0_701,plain,
( composition(join(one,X_114),X_115) != join(X_115,composition(X_114,X_115))
| join(X_115,composition(X_114,X_115)) != composition(join(X_114,one),X_115)
| composition(join(one,X_114),X_115) = composition(join(X_114,one),X_115) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_114),X_115),composition(join(X_114,one),X_115)) ),[0],$fot(join(X_115,composition(X_114,X_115)))]]) ).
cnf(refute_0_702,plain,
( composition(join(one,X_114),X_115) != join(X_115,composition(X_114,X_115))
| composition(join(one,X_114),X_115) = composition(join(X_114,one),X_115) ),
inference(resolve,[$cnf( $equal(join(X_115,composition(X_114,X_115)),composition(join(X_114,one),X_115)) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
composition(join(one,X_114),X_115) = composition(join(X_114,one),X_115),
inference(resolve,[$cnf( $equal(composition(join(one,X_114),X_115),join(X_115,composition(X_114,X_115))) )],[refute_0_697,refute_0_702]) ).
cnf(refute_0_704,plain,
( composition(join(one,X_114),X_115) != composition(join(X_114,one),X_115)
| composition(join(X_114,one),X_115) = composition(join(one,X_114),X_115) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X_114),X_115))),bind(Y,$fot(composition(join(X_114,one),X_115)))]]) ).
cnf(refute_0_705,plain,
composition(join(X_114,one),X_115) = composition(join(one,X_114),X_115),
inference(resolve,[$cnf( $equal(composition(join(one,X_114),X_115),composition(join(X_114,one),X_115)) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) = composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110),
inference(subst,[],[refute_0_705:[bind(X_114,$fot(join(X_121,converse(complement(composition(X_110,top)))))),bind(X_115,$fot(X_110))]]) ).
cnf(refute_0_707,plain,
( composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) != composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110)
| composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) != join(X_110,composition(X_121,X_110))
| composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) = join(X_110,composition(X_121,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110),join(X_110,composition(X_121,X_110))) ),[0],$fot(composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110))]]) ).
cnf(refute_0_708,plain,
( composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) != join(X_110,composition(X_121,X_110))
| composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) = join(X_110,composition(X_121,X_110)) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110),composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110)) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
join(X_110,composition(X_121,X_110)) = composition(join(X_121,one),X_110),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(X_121))]]) ).
cnf(refute_0_710,plain,
( composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) != join(X_110,composition(X_121,X_110))
| join(X_110,composition(X_121,X_110)) != composition(join(X_121,one),X_110)
| composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) = composition(join(X_121,one),X_110) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110),composition(join(X_121,one),X_110)) ),[0],$fot(join(X_110,composition(X_121,X_110)))]]) ).
cnf(refute_0_711,plain,
( composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) != join(X_110,composition(X_121,X_110))
| composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) = composition(join(X_121,one),X_110) ),
inference(resolve,[$cnf( $equal(join(X_110,composition(X_121,X_110)),composition(join(X_121,one),X_110)) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
( composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110) != join(X_110,composition(X_121,X_110))
| composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) = composition(join(X_121,one),X_110) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110),join(X_110,composition(X_121,X_110))) )],[refute_0_708,refute_0_711]) ).
cnf(refute_0_713,plain,
composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) = composition(join(X_121,one),X_110),
inference(resolve,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X_110,top)))),one),X_110),join(X_110,composition(X_121,X_110))) )],[refute_0_690,refute_0_712]) ).
cnf(refute_0_714,plain,
composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(join(X_121,converse(complement(composition(X2,top)))),X2)),
inference(subst,[],[refute_0_452:[bind(X1,$fot(join(X_121,converse(complement(composition(X2,top))))))]]) ).
cnf(refute_0_715,plain,
composition(join(X_121,converse(complement(composition(X2,top)))),X2) = composition(X_121,X2),
inference(subst,[],[refute_0_575:[bind(X_108,$fot(X_121)),bind(X_110,$fot(X2))]]) ).
cnf(refute_0_716,plain,
( composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(join(X_121,converse(complement(composition(X2,top)))),X2))
| composition(join(X_121,converse(complement(composition(X2,top)))),X2) != composition(X_121,X2)
| composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_121,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(join(X_121,converse(complement(composition(X2,top)))),X2))) ),[1,1],$fot(composition(X_121,X2))]]) ).
cnf(refute_0_717,plain,
( composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(join(X_121,converse(complement(composition(X2,top)))),X2))
| composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_121,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(X_121,converse(complement(composition(X2,top)))),X2),composition(X_121,X2)) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) = join(composition(X0,X2),composition(X_121,X2)),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(join(X_121,converse(complement(composition(X2,top)))),X2))) )],[refute_0_714,refute_0_717]) ).
cnf(refute_0_719,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_720,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_452,refute_0_719]) ).
cnf(refute_0_721,plain,
join(composition(X0,X2),composition(X_121,X2)) = composition(join(X0,X_121),X2),
inference(subst,[],[refute_0_720:[bind(X1,$fot(X_121))]]) ).
cnf(refute_0_722,plain,
( composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(X_121,X2))
| join(composition(X0,X2),composition(X_121,X2)) != composition(join(X0,X_121),X2)
| composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_121),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2),composition(join(X0,X_121),X2)) ),[0],$fot(join(composition(X0,X2),composition(X_121,X2)))]]) ).
cnf(refute_0_723,plain,
( composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) != join(composition(X0,X2),composition(X_121,X2))
| composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_121),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X0,X2),composition(X_121,X2)),composition(join(X0,X_121),X2)) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2) = composition(join(X0,X_121),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,join(X_121,converse(complement(composition(X2,top))))),X2),join(composition(X0,X2),composition(X_121,X2))) )],[refute_0_718,refute_0_723]) ).
cnf(refute_0_725,plain,
composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) = composition(join(one,X_121),X_110),
inference(subst,[],[refute_0_724:[bind(X0,$fot(one)),bind(X2,$fot(X_110))]]) ).
cnf(refute_0_726,plain,
( composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) != composition(join(X_121,one),X_110)
| composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) != composition(join(one,X_121),X_110)
| composition(join(one,X_121),X_110) = composition(join(X_121,one),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110),composition(join(X_121,one),X_110)) ),[0],$fot(composition(join(one,X_121),X_110))]]) ).
cnf(refute_0_727,plain,
( composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110) != composition(join(X_121,one),X_110)
| composition(join(one,X_121),X_110) = composition(join(X_121,one),X_110) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110),composition(join(one,X_121),X_110)) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
composition(join(one,X_121),X_110) = composition(join(X_121,one),X_110),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_121,converse(complement(composition(X_110,top))))),X_110),composition(join(X_121,one),X_110)) )],[refute_0_713,refute_0_727]) ).
cnf(refute_0_729,plain,
( composition(join(one,X_121),X_110) != composition(join(X_121,one),X_110)
| composition(join(X_121,one),X_110) = composition(join(one,X_121),X_110) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X_121),X_110))),bind(Y,$fot(composition(join(X_121,one),X_110)))]]) ).
cnf(refute_0_730,plain,
composition(join(X_121,one),X_110) = composition(join(one,X_121),X_110),
inference(resolve,[$cnf( $equal(composition(join(one,X_121),X_110),composition(join(X_121,one),X_110)) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
composition(join(converse(X0),one),complement(zero)) = composition(join(one,converse(X0)),complement(zero)),
inference(subst,[],[refute_0_730:[bind(X_110,$fot(complement(zero))),bind(X_121,$fot(converse(X0)))]]) ).
cnf(refute_0_732,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(converse(X0),one),complement(zero)),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(converse(X0))),bind(X_110,$fot(complement(zero)))]]) ).
cnf(refute_0_733,plain,
( composition(join(converse(X0),one),complement(zero)) != composition(join(one,converse(X0)),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) != composition(join(converse(X0),one),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)) ),
inference(subst,[],[refute_0_28:[bind(X,$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_734,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( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(join(converse(X0),one),complement(zero))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = composition(join(one,converse(X0)),complement(zero)),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),one),complement(zero)),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
( composition(join(one,converse(X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| join(complement(zero),composition(converse(X0),complement(zero))) != composition(join(one,converse(X0)),complement(zero))
| join(complement(zero),composition(converse(X0),complement(zero))) = composition(converse(join(one,X0)),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(zero),composition(converse(X0),complement(zero))))),bind(Y,$fot(composition(join(one,converse(X0)),complement(zero)))),bind(Z,$fot(composition(converse(join(one,X0)),top)))]]) ).
cnf(refute_0_737,plain,
( composition(join(one,converse(X0)),complement(zero)) != composition(converse(join(one,X0)),top)
| join(complement(zero),composition(converse(X0),complement(zero))) = composition(converse(join(one,X0)),top) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(join(one,converse(X0)),complement(zero))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
join(complement(zero),composition(converse(X0),complement(zero))) = composition(converse(join(one,X0)),top),
inference(resolve,[$cnf( $equal(composition(join(one,converse(X0)),complement(zero)),composition(converse(join(one,X0)),top)) )],[refute_0_674,refute_0_737]) ).
cnf(refute_0_739,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| join(complement(zero),composition(converse(X0),complement(zero))) != composition(converse(join(one,X0)),top)
| composition(converse(join(one,X0)),top) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) ),[0],$fot(composition(converse(join(one,X0)),top))]]) ).
cnf(refute_0_740,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| composition(converse(join(one,X0)),top) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),composition(converse(join(one,X0)),top)) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
( complement(zero) != top
| composition(converse(join(one,X0)),top) != complement(zero)
| composition(converse(join(one,X0)),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,X0)),top),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_742,plain,
( composition(converse(join(one,X0)),top) != complement(zero)
| composition(converse(join(one,X0)),top) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_741]) ).
cnf(refute_0_743,plain,
( join(complement(zero),composition(converse(X0),complement(zero))) != complement(zero)
| composition(converse(join(one,X0)),top) = top ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X0)),top),complement(zero)) )],[refute_0_740,refute_0_742]) ).
cnf(refute_0_744,plain,
composition(converse(join(one,X0)),top) = top,
inference(resolve,[$cnf( $equal(join(complement(zero),composition(converse(X0),complement(zero))),complement(zero)) )],[refute_0_607,refute_0_743]) ).
cnf(refute_0_745,plain,
composition(converse(join(one,complement(one))),top) = top,
inference(subst,[],[refute_0_744:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_746,plain,
top = join(one,complement(one)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(one))]]) ).
cnf(refute_0_747,plain,
( top != join(one,complement(one))
| join(one,complement(one)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(one))))]]) ).
cnf(refute_0_748,plain,
join(one,complement(one)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(one))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
( composition(converse(join(one,complement(one))),top) != top
| join(one,complement(one)) != top
| composition(converse(top),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,complement(one))),top),top) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_750,plain,
( composition(converse(join(one,complement(one))),top) != top
| composition(converse(top),top) = top ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
composition(converse(top),top) = top,
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(one))),top),top) )],[refute_0_745,refute_0_750]) ).
cnf(refute_0_752,plain,
( composition(converse(top),top) != top
| converse(composition(converse(top),top)) != composition(converse(top),converse(converse(top)))
| converse(top) = composition(converse(top),converse(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),top)),composition(converse(top),converse(converse(top)))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_753,plain,
( converse(composition(converse(top),top)) != composition(converse(top),converse(converse(top)))
| converse(top) = composition(converse(top),converse(converse(top))) ),
inference(resolve,[$cnf( $equal(composition(converse(top),top),top) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
converse(top) = composition(converse(top),converse(converse(top))),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),top)),composition(converse(top),converse(converse(top)))) )],[refute_0_445,refute_0_753]) ).
cnf(refute_0_755,plain,
converse(composition(converse(top),top)) = composition(converse(top),top),
inference(subst,[],[refute_0_62:[bind(X0,$fot(top)),bind(X_14,$fot(top))]]) ).
cnf(refute_0_756,plain,
( composition(converse(top),top) != top
| converse(composition(converse(top),top)) != composition(converse(top),top)
| converse(composition(converse(top),top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(converse(top),top)))),bind(Y,$fot(composition(converse(top),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_757,plain,
( composition(converse(top),top) != top
| converse(composition(converse(top),top)) = top ),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),top)),composition(converse(top),top)) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
converse(composition(converse(top),top)) = top,
inference(resolve,[$cnf( $equal(composition(converse(top),top),top) )],[refute_0_751,refute_0_757]) ).
cnf(refute_0_759,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_760,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_57,refute_0_759]) ).
cnf(refute_0_761,plain,
composition(converse(top),converse(converse(top))) = converse(composition(converse(top),top)),
inference(subst,[],[refute_0_760:[bind(X0,$fot(converse(top))),bind(X1,$fot(top))]]) ).
cnf(refute_0_762,plain,
( composition(converse(top),converse(converse(top))) != converse(composition(converse(top),top))
| converse(composition(converse(top),top)) != top
| composition(converse(top),converse(converse(top))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(top),converse(converse(top))))),bind(Y,$fot(converse(composition(converse(top),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_763,plain,
( converse(composition(converse(top),top)) != top
| composition(converse(top),converse(converse(top))) = top ),
inference(resolve,[$cnf( $equal(composition(converse(top),converse(converse(top))),converse(composition(converse(top),top))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
composition(converse(top),converse(converse(top))) = top,
inference(resolve,[$cnf( $equal(converse(composition(converse(top),top)),top) )],[refute_0_758,refute_0_763]) ).
cnf(refute_0_765,plain,
( composition(converse(top),converse(converse(top))) != top
| converse(top) != composition(converse(top),converse(converse(top)))
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),composition(converse(top),converse(converse(top)))) ),[1],$fot(top)]]) ).
cnf(refute_0_766,plain,
( converse(top) != composition(converse(top),converse(converse(top)))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(composition(converse(top),converse(converse(top))),top) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),composition(converse(top),converse(converse(top)))) )],[refute_0_754,refute_0_766]) ).
cnf(refute_0_768,plain,
( converse(top) != join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))
| converse(top) != top
| top = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_769,plain,
( converse(top) != join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))
| top = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
top = join(X_6,converse(join(X0,complement(join(converse(X_6),X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_6,converse(join(X0,complement(join(converse(X_6),X0)))))) )],[refute_0_444,refute_0_769]) ).
cnf(refute_0_771,plain,
top = join(X_434,converse(join(converse(join(one,X_179)),complement(join(converse(X_434),converse(join(one,X_179))))))),
inference(subst,[],[refute_0_770:[bind(X0,$fot(converse(join(one,X_179)))),bind(X_6,$fot(X_434))]]) ).
cnf(refute_0_772,plain,
converse(join(X_6,converse(join(X_9,converse(X_8))))) = join(converse(X_6),join(X_9,converse(X_8))),
inference(subst,[],[refute_0_425:[bind(X0,$fot(join(X_9,converse(X_8))))]]) ).
cnf(refute_0_773,plain,
converse(join(X_9,converse(X_8))) = join(converse(X_9),X_8),
inference(subst,[],[refute_0_425:[bind(X0,$fot(X_8)),bind(X_6,$fot(X_9))]]) ).
cnf(refute_0_774,plain,
( converse(join(X_6,converse(join(X_9,converse(X_8))))) != join(converse(X_6),join(X_9,converse(X_8)))
| converse(join(X_9,converse(X_8))) != join(converse(X_9),X_8)
| converse(join(X_6,join(converse(X_9),X_8))) = join(converse(X_6),join(X_9,converse(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,converse(join(X_9,converse(X_8))))),join(converse(X_6),join(X_9,converse(X_8)))) ),[0,0,1],$fot(join(converse(X_9),X_8))]]) ).
cnf(refute_0_775,plain,
( converse(join(X_6,converse(join(X_9,converse(X_8))))) != join(converse(X_6),join(X_9,converse(X_8)))
| converse(join(X_6,join(converse(X_9),X_8))) = join(converse(X_6),join(X_9,converse(X_8))) ),
inference(resolve,[$cnf( $equal(converse(join(X_9,converse(X_8))),join(converse(X_9),X_8)) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
converse(join(X_6,join(converse(X_9),X_8))) = join(converse(X_6),join(X_9,converse(X_8))),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(join(X_9,converse(X_8))))),join(converse(X_6),join(X_9,converse(X_8)))) )],[refute_0_772,refute_0_775]) ).
cnf(refute_0_777,plain,
converse(join(X_179,join(converse(X_181),one))) = join(converse(X_179),join(X_181,converse(one))),
inference(subst,[],[refute_0_776:[bind(X_6,$fot(X_179)),bind(X_8,$fot(one)),bind(X_9,$fot(X_181))]]) ).
cnf(refute_0_778,plain,
converse(join(X_6,converse(one))) = join(converse(X_6),one),
inference(subst,[],[refute_0_425:[bind(X0,$fot(one))]]) ).
cnf(refute_0_779,plain,
( converse(join(X_6,converse(one))) != join(converse(X_6),one)
| converse(one) != one
| converse(join(X_6,one)) = join(converse(X_6),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,converse(one))),join(converse(X_6),one)) ),[0,0,1],$fot(one)]]) ).
cnf(refute_0_780,plain,
( converse(join(X_6,converse(one))) != join(converse(X_6),one)
| converse(join(X_6,one)) = join(converse(X_6),one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_779]) ).
cnf(refute_0_781,plain,
converse(join(X_6,one)) = join(converse(X_6),one),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(one))),join(converse(X_6),one)) )],[refute_0_778,refute_0_780]) ).
cnf(refute_0_782,plain,
join(one,converse(X_6)) = converse(join(one,X_6)),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(X_6))]]) ).
cnf(refute_0_783,plain,
join(converse(X_6),one) = join(one,converse(X_6)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_6)))]]) ).
cnf(refute_0_784,plain,
( join(converse(X_6),one) != join(one,converse(X_6))
| join(one,converse(X_6)) != converse(join(one,X_6))
| join(converse(X_6),one) = converse(join(one,X_6)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_6),one))),bind(Y,$fot(join(one,converse(X_6)))),bind(Z,$fot(converse(join(one,X_6))))]]) ).
cnf(refute_0_785,plain,
( join(one,converse(X_6)) != converse(join(one,X_6))
| join(converse(X_6),one) = converse(join(one,X_6)) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),one),join(one,converse(X_6))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
join(converse(X_6),one) = converse(join(one,X_6)),
inference(resolve,[$cnf( $equal(join(one,converse(X_6)),converse(join(one,X_6))) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
( converse(join(X_6,one)) != join(converse(X_6),one)
| join(converse(X_6),one) != converse(join(one,X_6))
| converse(join(X_6,one)) = converse(join(one,X_6)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_6,one)),converse(join(one,X_6))) ),[0],$fot(join(converse(X_6),one))]]) ).
cnf(refute_0_788,plain,
( converse(join(X_6,one)) != join(converse(X_6),one)
| converse(join(X_6,one)) = converse(join(one,X_6)) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),one),converse(join(one,X_6))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
converse(join(X_6,one)) = converse(join(one,X_6)),
inference(resolve,[$cnf( $equal(converse(join(X_6,one)),join(converse(X_6),one)) )],[refute_0_781,refute_0_788]) ).
cnf(refute_0_790,plain,
converse(join(join(X_63,X_64),one)) = converse(join(one,join(X_63,X_64))),
inference(subst,[],[refute_0_789:[bind(X_6,$fot(join(X_63,X_64)))]]) ).
cnf(refute_0_791,plain,
join(X_63,join(X_64,one)) = join(join(X_63,X_64),one),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_63)),bind(X1,$fot(X_64)),bind(X2,$fot(one))]]) ).
cnf(refute_0_792,plain,
( join(X_63,join(X_64,one)) != join(join(X_63,X_64),one)
| join(join(X_63,X_64),one) = join(X_63,join(X_64,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_63,join(X_64,one)))),bind(Y,$fot(join(join(X_63,X_64),one)))]]) ).
cnf(refute_0_793,plain,
join(join(X_63,X_64),one) = join(X_63,join(X_64,one)),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,one)),join(join(X_63,X_64),one)) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
( converse(join(join(X_63,X_64),one)) != converse(join(one,join(X_63,X_64)))
| join(join(X_63,X_64),one) != join(X_63,join(X_64,one))
| converse(join(X_63,join(X_64,one))) = converse(join(one,join(X_63,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_63,X_64),one)),converse(join(one,join(X_63,X_64)))) ),[0,0],$fot(join(X_63,join(X_64,one)))]]) ).
cnf(refute_0_795,plain,
( converse(join(join(X_63,X_64),one)) != converse(join(one,join(X_63,X_64)))
| converse(join(X_63,join(X_64,one))) = converse(join(one,join(X_63,X_64))) ),
inference(resolve,[$cnf( $equal(join(join(X_63,X_64),one),join(X_63,join(X_64,one))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
converse(join(X_63,join(X_64,one))) = converse(join(one,join(X_63,X_64))),
inference(resolve,[$cnf( $equal(converse(join(join(X_63,X_64),one)),converse(join(one,join(X_63,X_64)))) )],[refute_0_790,refute_0_795]) ).
cnf(refute_0_797,plain,
converse(join(X_179,join(converse(X_181),one))) = converse(join(one,join(X_179,converse(X_181)))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(X_179)),bind(X_64,$fot(converse(X_181)))]]) ).
cnf(refute_0_798,plain,
( converse(join(X_179,join(converse(X_181),one))) != converse(join(one,join(X_179,converse(X_181))))
| converse(join(X_179,join(converse(X_181),one))) != join(converse(X_179),join(X_181,converse(one)))
| converse(join(one,join(X_179,converse(X_181)))) = join(converse(X_179),join(X_181,converse(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_179,join(converse(X_181),one))),join(converse(X_179),join(X_181,converse(one)))) ),[0],$fot(converse(join(one,join(X_179,converse(X_181)))))]]) ).
cnf(refute_0_799,plain,
( converse(join(X_179,join(converse(X_181),one))) != join(converse(X_179),join(X_181,converse(one)))
| converse(join(one,join(X_179,converse(X_181)))) = join(converse(X_179),join(X_181,converse(one))) ),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(X_181),one))),converse(join(one,join(X_179,converse(X_181))))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
converse(join(one,join(X_179,converse(X_181)))) = join(converse(X_179),join(X_181,converse(one))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(X_181),one))),join(converse(X_179),join(X_181,converse(one)))) )],[refute_0_777,refute_0_799]) ).
cnf(refute_0_801,plain,
join(one,join(converse(X_7),X_65)) = join(join(one,converse(X_7)),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_7))),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_802,plain,
( join(one,converse(X_7)) != converse(join(one,X_7))
| join(one,join(converse(X_7),X_65)) != join(join(one,converse(X_7)),X_65)
| join(one,join(converse(X_7),X_65)) = join(converse(join(one,X_7)),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_7),X_65)),join(join(one,converse(X_7)),X_65)) ),[1,0],$fot(converse(join(one,X_7)))]]) ).
cnf(refute_0_803,plain,
( join(one,join(converse(X_7),X_65)) != join(join(one,converse(X_7)),X_65)
| join(one,join(converse(X_7),X_65)) = join(converse(join(one,X_7)),X_65) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_7)),converse(join(one,X_7))) )],[refute_0_666,refute_0_802]) ).
cnf(refute_0_804,plain,
join(one,join(converse(X_7),X_65)) = join(converse(join(one,X_7)),X_65),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_7),X_65)),join(join(one,converse(X_7)),X_65)) )],[refute_0_801,refute_0_803]) ).
cnf(refute_0_805,plain,
( join(one,join(converse(X_7),X_65)) != join(converse(join(one,X_7)),X_65)
| join(converse(join(one,X_7)),X_65) = join(one,join(converse(X_7),X_65)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(converse(X_7),X_65)))),bind(Y,$fot(join(converse(join(one,X_7)),X_65)))]]) ).
cnf(refute_0_806,plain,
join(converse(join(one,X_7)),X_65) = join(one,join(converse(X_7),X_65)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_7),X_65)),join(converse(join(one,X_7)),X_65)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
join(converse(join(one,X_179)),X_181) = join(one,join(converse(X_179),X_181)),
inference(subst,[],[refute_0_806:[bind(X_65,$fot(X_181)),bind(X_7,$fot(X_179))]]) ).
cnf(refute_0_808,plain,
converse(join(join(X_63,X_64),converse(X0))) = join(converse(join(X_63,X_64)),X0),
inference(subst,[],[refute_0_425:[bind(X_6,$fot(join(X_63,X_64)))]]) ).
cnf(refute_0_809,plain,
join(X_63,join(X_64,converse(X0))) = join(join(X_63,X_64),converse(X0)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_63)),bind(X1,$fot(X_64)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_810,plain,
( join(X_63,join(X_64,converse(X0))) != join(join(X_63,X_64),converse(X0))
| join(join(X_63,X_64),converse(X0)) = join(X_63,join(X_64,converse(X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_63,join(X_64,converse(X0))))),bind(Y,$fot(join(join(X_63,X_64),converse(X0))))]]) ).
cnf(refute_0_811,plain,
join(join(X_63,X_64),converse(X0)) = join(X_63,join(X_64,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,converse(X0))),join(join(X_63,X_64),converse(X0))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
( converse(join(join(X_63,X_64),converse(X0))) != join(converse(join(X_63,X_64)),X0)
| join(join(X_63,X_64),converse(X0)) != join(X_63,join(X_64,converse(X0)))
| converse(join(X_63,join(X_64,converse(X0)))) = join(converse(join(X_63,X_64)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_63,X_64),converse(X0))),join(converse(join(X_63,X_64)),X0)) ),[0,0],$fot(join(X_63,join(X_64,converse(X0))))]]) ).
cnf(refute_0_813,plain,
( converse(join(join(X_63,X_64),converse(X0))) != join(converse(join(X_63,X_64)),X0)
| converse(join(X_63,join(X_64,converse(X0)))) = join(converse(join(X_63,X_64)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_63,X_64),converse(X0)),join(X_63,join(X_64,converse(X0)))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
converse(join(X_63,join(X_64,converse(X0)))) = join(converse(join(X_63,X_64)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_63,X_64),converse(X0))),join(converse(join(X_63,X_64)),X0)) )],[refute_0_808,refute_0_813]) ).
cnf(refute_0_815,plain,
converse(join(one,join(X_179,converse(X_181)))) = join(converse(join(one,X_179)),X_181),
inference(subst,[],[refute_0_814:[bind(X0,$fot(X_181)),bind(X_63,$fot(one)),bind(X_64,$fot(X_179))]]) ).
cnf(refute_0_816,plain,
( converse(join(one,join(X_179,converse(X_181)))) != join(converse(join(one,X_179)),X_181)
| join(converse(join(one,X_179)),X_181) != join(one,join(converse(X_179),X_181))
| converse(join(one,join(X_179,converse(X_181)))) = join(one,join(converse(X_179),X_181)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(X_179,converse(X_181)))))),bind(Y,$fot(join(converse(join(one,X_179)),X_181))),bind(Z,$fot(join(one,join(converse(X_179),X_181))))]]) ).
cnf(refute_0_817,plain,
( join(converse(join(one,X_179)),X_181) != join(one,join(converse(X_179),X_181))
| converse(join(one,join(X_179,converse(X_181)))) = join(one,join(converse(X_179),X_181)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_179,converse(X_181)))),join(converse(join(one,X_179)),X_181)) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
converse(join(one,join(X_179,converse(X_181)))) = join(one,join(converse(X_179),X_181)),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_179)),X_181),join(one,join(converse(X_179),X_181))) )],[refute_0_807,refute_0_817]) ).
cnf(refute_0_819,plain,
( converse(join(one,join(X_179,converse(X_181)))) != join(converse(X_179),join(X_181,converse(one)))
| converse(join(one,join(X_179,converse(X_181)))) != join(one,join(converse(X_179),X_181))
| join(one,join(converse(X_179),X_181)) = join(converse(X_179),join(X_181,converse(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_179,converse(X_181)))),join(converse(X_179),join(X_181,converse(one)))) ),[0],$fot(join(one,join(converse(X_179),X_181)))]]) ).
cnf(refute_0_820,plain,
( converse(join(one,join(X_179,converse(X_181)))) != join(converse(X_179),join(X_181,converse(one)))
| join(one,join(converse(X_179),X_181)) = join(converse(X_179),join(X_181,converse(one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_179,converse(X_181)))),join(one,join(converse(X_179),X_181))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
join(join(X_181,converse(X_180)),converse(X_179)) = join(converse(X_179),join(X_181,converse(X_180))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(X_181,converse(X_180)))),bind(X1,$fot(converse(X_179)))]]) ).
cnf(refute_0_822,plain,
converse(join(X_179,join(converse(X_181),X_180))) = join(converse(X_179),join(X_181,converse(X_180))),
inference(subst,[],[refute_0_776:[bind(X_6,$fot(X_179)),bind(X_8,$fot(X_180)),bind(X_9,$fot(X_181))]]) ).
cnf(refute_0_823,plain,
( converse(join(X_179,join(converse(X_181),X_180))) != join(converse(X_179),join(X_181,converse(X_180)))
| join(converse(X_179),join(X_181,converse(X_180))) = converse(join(X_179,join(converse(X_181),X_180))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_179,join(converse(X_181),X_180))))),bind(Y,$fot(join(converse(X_179),join(X_181,converse(X_180)))))]]) ).
cnf(refute_0_824,plain,
join(converse(X_179),join(X_181,converse(X_180))) = converse(join(X_179,join(converse(X_181),X_180))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(X_181),X_180))),join(converse(X_179),join(X_181,converse(X_180)))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
( join(converse(X_179),join(X_181,converse(X_180))) != converse(join(X_179,join(converse(X_181),X_180)))
| join(join(X_181,converse(X_180)),converse(X_179)) != join(converse(X_179),join(X_181,converse(X_180)))
| join(join(X_181,converse(X_180)),converse(X_179)) = converse(join(X_179,join(converse(X_181),X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_181,converse(X_180)),converse(X_179)),join(converse(X_179),join(X_181,converse(X_180)))) ),[1],$fot(converse(join(X_179,join(converse(X_181),X_180))))]]) ).
cnf(refute_0_826,plain,
( join(join(X_181,converse(X_180)),converse(X_179)) != join(converse(X_179),join(X_181,converse(X_180)))
| join(join(X_181,converse(X_180)),converse(X_179)) = converse(join(X_179,join(converse(X_181),X_180))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(X_181,converse(X_180))),converse(join(X_179,join(converse(X_181),X_180)))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
join(join(X_181,converse(X_180)),converse(X_179)) = converse(join(X_179,join(converse(X_181),X_180))),
inference(resolve,[$cnf( $equal(join(join(X_181,converse(X_180)),converse(X_179)),join(converse(X_179),join(X_181,converse(X_180)))) )],[refute_0_821,refute_0_826]) ).
cnf(refute_0_828,plain,
join(converse(X_180),converse(X_179)) = converse(join(X_180,X_179)),
inference(subst,[],[refute_0_430:[bind(X0,$fot(X_180)),bind(X1,$fot(X_179))]]) ).
cnf(refute_0_829,plain,
join(X_181,join(converse(X_180),converse(X_179))) = join(X_181,join(converse(X_180),converse(X_179))),
introduced(tautology,[refl,[$fot(join(X_181,join(converse(X_180),converse(X_179))))]]) ).
cnf(refute_0_830,plain,
( join(X_181,join(converse(X_180),converse(X_179))) != join(X_181,join(converse(X_180),converse(X_179)))
| join(converse(X_180),converse(X_179)) != converse(join(X_180,X_179))
| join(X_181,join(converse(X_180),converse(X_179))) = join(X_181,converse(join(X_180,X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_181,join(converse(X_180),converse(X_179))),join(X_181,join(converse(X_180),converse(X_179)))) ),[1,1],$fot(converse(join(X_180,X_179)))]]) ).
cnf(refute_0_831,plain,
( join(converse(X_180),converse(X_179)) != converse(join(X_180,X_179))
| join(X_181,join(converse(X_180),converse(X_179))) = join(X_181,converse(join(X_180,X_179))) ),
inference(resolve,[$cnf( $equal(join(X_181,join(converse(X_180),converse(X_179))),join(X_181,join(converse(X_180),converse(X_179)))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
join(X_181,join(converse(X_180),converse(X_179))) = join(X_181,converse(join(X_180,X_179))),
inference(resolve,[$cnf( $equal(join(converse(X_180),converse(X_179)),converse(join(X_180,X_179))) )],[refute_0_828,refute_0_831]) ).
cnf(refute_0_833,plain,
join(join(X_181,converse(X_180)),converse(X_179)) = join(X_181,join(converse(X_180),converse(X_179))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_181)),bind(X1,$fot(converse(X_180))),bind(X2,$fot(converse(X_179)))]]) ).
cnf(refute_0_834,plain,
( join(X_181,join(converse(X_180),converse(X_179))) != join(X_181,converse(join(X_180,X_179)))
| join(join(X_181,converse(X_180)),converse(X_179)) != join(X_181,join(converse(X_180),converse(X_179)))
| join(join(X_181,converse(X_180)),converse(X_179)) = join(X_181,converse(join(X_180,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_181,converse(X_180)),converse(X_179)))),bind(Y,$fot(join(X_181,join(converse(X_180),converse(X_179))))),bind(Z,$fot(join(X_181,converse(join(X_180,X_179)))))]]) ).
cnf(refute_0_835,plain,
( join(X_181,join(converse(X_180),converse(X_179))) != join(X_181,converse(join(X_180,X_179)))
| join(join(X_181,converse(X_180)),converse(X_179)) = join(X_181,converse(join(X_180,X_179))) ),
inference(resolve,[$cnf( $equal(join(join(X_181,converse(X_180)),converse(X_179)),join(X_181,join(converse(X_180),converse(X_179)))) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
join(join(X_181,converse(X_180)),converse(X_179)) = join(X_181,converse(join(X_180,X_179))),
inference(resolve,[$cnf( $equal(join(X_181,join(converse(X_180),converse(X_179))),join(X_181,converse(join(X_180,X_179)))) )],[refute_0_832,refute_0_835]) ).
cnf(refute_0_837,plain,
( join(join(X_181,converse(X_180)),converse(X_179)) != converse(join(X_179,join(converse(X_181),X_180)))
| join(join(X_181,converse(X_180)),converse(X_179)) != join(X_181,converse(join(X_180,X_179)))
| join(X_181,converse(join(X_180,X_179))) = converse(join(X_179,join(converse(X_181),X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_181,converse(X_180)),converse(X_179)),converse(join(X_179,join(converse(X_181),X_180)))) ),[0],$fot(join(X_181,converse(join(X_180,X_179))))]]) ).
cnf(refute_0_838,plain,
( join(join(X_181,converse(X_180)),converse(X_179)) != converse(join(X_179,join(converse(X_181),X_180)))
| join(X_181,converse(join(X_180,X_179))) = converse(join(X_179,join(converse(X_181),X_180))) ),
inference(resolve,[$cnf( $equal(join(join(X_181,converse(X_180)),converse(X_179)),join(X_181,converse(join(X_180,X_179)))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
join(X_181,converse(join(X_180,X_179))) = converse(join(X_179,join(converse(X_181),X_180))),
inference(resolve,[$cnf( $equal(join(join(X_181,converse(X_180)),converse(X_179)),converse(join(X_179,join(converse(X_181),X_180)))) )],[refute_0_827,refute_0_838]) ).
cnf(refute_0_840,plain,
( join(X_181,converse(join(X_180,X_179))) != converse(join(X_179,join(converse(X_181),X_180)))
| converse(join(X_179,join(converse(X_181),X_180))) = join(X_181,converse(join(X_180,X_179))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_181,converse(join(X_180,X_179))))),bind(Y,$fot(converse(join(X_179,join(converse(X_181),X_180)))))]]) ).
cnf(refute_0_841,plain,
converse(join(X_179,join(converse(X_181),X_180))) = join(X_181,converse(join(X_180,X_179))),
inference(resolve,[$cnf( $equal(join(X_181,converse(join(X_180,X_179))),converse(join(X_179,join(converse(X_181),X_180)))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
converse(join(X_179,join(converse(X_181),one))) = join(X_181,converse(join(one,X_179))),
inference(subst,[],[refute_0_841:[bind(X_180,$fot(one))]]) ).
cnf(refute_0_843,plain,
( converse(join(X_6,join(converse(X_9),X_8))) != join(converse(X_6),join(X_9,converse(X_8)))
| join(converse(X_6),join(X_9,converse(X_8))) = converse(join(X_6,join(converse(X_9),X_8))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_6,join(converse(X_9),X_8))))),bind(Y,$fot(join(converse(X_6),join(X_9,converse(X_8)))))]]) ).
cnf(refute_0_844,plain,
join(converse(X_6),join(X_9,converse(X_8))) = converse(join(X_6,join(converse(X_9),X_8))),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(converse(X_9),X_8))),join(converse(X_6),join(X_9,converse(X_8)))) )],[refute_0_776,refute_0_843]) ).
cnf(refute_0_845,plain,
join(converse(X_179),join(X_181,converse(one))) = converse(join(X_179,join(converse(X_181),one))),
inference(subst,[],[refute_0_844:[bind(X_6,$fot(X_179)),bind(X_8,$fot(one)),bind(X_9,$fot(X_181))]]) ).
cnf(refute_0_846,plain,
( converse(join(X_179,join(converse(X_181),one))) != join(X_181,converse(join(one,X_179)))
| join(converse(X_179),join(X_181,converse(one))) != converse(join(X_179,join(converse(X_181),one)))
| join(converse(X_179),join(X_181,converse(one))) = join(X_181,converse(join(one,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_179),join(X_181,converse(one))))),bind(Y,$fot(converse(join(X_179,join(converse(X_181),one))))),bind(Z,$fot(join(X_181,converse(join(one,X_179)))))]]) ).
cnf(refute_0_847,plain,
( converse(join(X_179,join(converse(X_181),one))) != join(X_181,converse(join(one,X_179)))
| join(converse(X_179),join(X_181,converse(one))) = join(X_181,converse(join(one,X_179))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(X_181,converse(one))),converse(join(X_179,join(converse(X_181),one)))) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
join(converse(X_179),join(X_181,converse(one))) = join(X_181,converse(join(one,X_179))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(X_181),one))),join(X_181,converse(join(one,X_179)))) )],[refute_0_842,refute_0_847]) ).
cnf(refute_0_849,plain,
( join(converse(X_179),join(X_181,converse(one))) != join(X_181,converse(join(one,X_179)))
| join(one,join(converse(X_179),X_181)) != join(converse(X_179),join(X_181,converse(one)))
| join(one,join(converse(X_179),X_181)) = join(X_181,converse(join(one,X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_179),X_181)),join(converse(X_179),join(X_181,converse(one)))) ),[1],$fot(join(X_181,converse(join(one,X_179))))]]) ).
cnf(refute_0_850,plain,
( join(one,join(converse(X_179),X_181)) != join(converse(X_179),join(X_181,converse(one)))
| join(one,join(converse(X_179),X_181)) = join(X_181,converse(join(one,X_179))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(X_181,converse(one))),join(X_181,converse(join(one,X_179)))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
( converse(join(one,join(X_179,converse(X_181)))) != join(converse(X_179),join(X_181,converse(one)))
| join(one,join(converse(X_179),X_181)) = join(X_181,converse(join(one,X_179))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_179),X_181)),join(converse(X_179),join(X_181,converse(one)))) )],[refute_0_820,refute_0_850]) ).
cnf(refute_0_852,plain,
join(one,join(converse(X_179),X_181)) = join(X_181,converse(join(one,X_179))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_179,converse(X_181)))),join(converse(X_179),join(X_181,converse(one)))) )],[refute_0_800,refute_0_851]) ).
cnf(refute_0_853,plain,
join(one,join(converse(X_179),converse(X_434))) = join(converse(X_434),converse(join(one,X_179))),
inference(subst,[],[refute_0_852:[bind(X_181,$fot(converse(X_434)))]]) ).
cnf(refute_0_854,plain,
( join(one,join(converse(X_179),converse(X_434))) != join(converse(X_434),converse(join(one,X_179)))
| join(converse(X_434),converse(join(one,X_179))) = join(one,join(converse(X_179),converse(X_434))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(converse(X_179),converse(X_434))))),bind(Y,$fot(join(converse(X_434),converse(join(one,X_179)))))]]) ).
cnf(refute_0_855,plain,
join(converse(X_434),converse(join(one,X_179))) = join(one,join(converse(X_179),converse(X_434))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_179),converse(X_434))),join(converse(X_434),converse(join(one,X_179)))) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
( join(converse(X_434),converse(join(one,X_179))) != join(one,join(converse(X_179),converse(X_434)))
| top != join(X_434,converse(join(converse(join(one,X_179)),complement(join(converse(X_434),converse(join(one,X_179)))))))
| top = join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_434,converse(join(converse(join(one,X_179)),complement(join(converse(X_434),converse(join(one,X_179)))))))) ),[1,1,0,1,0],$fot(join(one,join(converse(X_179),converse(X_434))))]]) ).
cnf(refute_0_857,plain,
( top != join(X_434,converse(join(converse(join(one,X_179)),complement(join(converse(X_434),converse(join(one,X_179)))))))
| top = join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_434),converse(join(one,X_179))),join(one,join(converse(X_179),converse(X_434)))) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
top = join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))),
inference(resolve,[$cnf( $equal(top,join(X_434,converse(join(converse(join(one,X_179)),complement(join(converse(X_434),converse(join(one,X_179)))))))) )],[refute_0_771,refute_0_857]) ).
cnf(refute_0_859,plain,
join(one,converse(join(X_179,X_434))) = converse(join(one,join(X_179,X_434))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(X_179,X_434)))]]) ).
cnf(refute_0_860,plain,
join(converse(X_179),converse(X_434)) = converse(join(X_179,X_434)),
inference(subst,[],[refute_0_430:[bind(X0,$fot(X_179)),bind(X1,$fot(X_434))]]) ).
cnf(refute_0_861,plain,
join(one,join(converse(X_179),converse(X_434))) = join(one,join(converse(X_179),converse(X_434))),
introduced(tautology,[refl,[$fot(join(one,join(converse(X_179),converse(X_434))))]]) ).
cnf(refute_0_862,plain,
( join(converse(X_179),converse(X_434)) != converse(join(X_179,X_434))
| join(one,join(converse(X_179),converse(X_434))) != join(one,join(converse(X_179),converse(X_434)))
| join(one,join(converse(X_179),converse(X_434))) = join(one,converse(join(X_179,X_434))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_179),converse(X_434))),join(one,join(converse(X_179),converse(X_434)))) ),[1,1],$fot(converse(join(X_179,X_434)))]]) ).
cnf(refute_0_863,plain,
( join(converse(X_179),converse(X_434)) != converse(join(X_179,X_434))
| join(one,join(converse(X_179),converse(X_434))) = join(one,converse(join(X_179,X_434))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_179),converse(X_434))),join(one,join(converse(X_179),converse(X_434)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
join(one,join(converse(X_179),converse(X_434))) = join(one,converse(join(X_179,X_434))),
inference(resolve,[$cnf( $equal(join(converse(X_179),converse(X_434)),converse(join(X_179,X_434))) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
( join(one,converse(join(X_179,X_434))) != converse(join(one,join(X_179,X_434)))
| join(one,join(converse(X_179),converse(X_434))) != join(one,converse(join(X_179,X_434)))
| join(one,join(converse(X_179),converse(X_434))) = converse(join(one,join(X_179,X_434))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(X_179),converse(X_434))))),bind(Y,$fot(join(one,converse(join(X_179,X_434))))),bind(Z,$fot(converse(join(one,join(X_179,X_434)))))]]) ).
cnf(refute_0_866,plain,
( join(one,converse(join(X_179,X_434))) != converse(join(one,join(X_179,X_434)))
| join(one,join(converse(X_179),converse(X_434))) = converse(join(one,join(X_179,X_434))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_179),converse(X_434))),join(one,converse(join(X_179,X_434)))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
join(one,join(converse(X_179),converse(X_434))) = converse(join(one,join(X_179,X_434))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_179,X_434))),converse(join(one,join(X_179,X_434)))) )],[refute_0_859,refute_0_866]) ).
cnf(refute_0_868,plain,
complement(join(one,join(converse(X_179),converse(X_434)))) = complement(join(one,join(converse(X_179),converse(X_434)))),
introduced(tautology,[refl,[$fot(complement(join(one,join(converse(X_179),converse(X_434)))))]]) ).
cnf(refute_0_869,plain,
( complement(join(one,join(converse(X_179),converse(X_434)))) != complement(join(one,join(converse(X_179),converse(X_434))))
| join(one,join(converse(X_179),converse(X_434))) != converse(join(one,join(X_179,X_434)))
| complement(join(one,join(converse(X_179),converse(X_434)))) = complement(converse(join(one,join(X_179,X_434)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,join(converse(X_179),converse(X_434)))),complement(join(one,join(converse(X_179),converse(X_434))))) ),[1,0],$fot(converse(join(one,join(X_179,X_434))))]]) ).
cnf(refute_0_870,plain,
( join(one,join(converse(X_179),converse(X_434))) != converse(join(one,join(X_179,X_434)))
| complement(join(one,join(converse(X_179),converse(X_434)))) = complement(converse(join(one,join(X_179,X_434)))) ),
inference(resolve,[$cnf( $equal(complement(join(one,join(converse(X_179),converse(X_434)))),complement(join(one,join(converse(X_179),converse(X_434))))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
complement(join(one,join(converse(X_179),converse(X_434)))) = complement(converse(join(one,join(X_179,X_434)))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_179),converse(X_434))),converse(join(one,join(X_179,X_434)))) )],[refute_0_867,refute_0_870]) ).
cnf(refute_0_872,plain,
converse(complement(join(one,join(converse(X_179),converse(X_434))))) = converse(complement(join(one,join(converse(X_179),converse(X_434))))),
introduced(tautology,[refl,[$fot(converse(complement(join(one,join(converse(X_179),converse(X_434))))))]]) ).
cnf(refute_0_873,plain,
( complement(join(one,join(converse(X_179),converse(X_434)))) != complement(converse(join(one,join(X_179,X_434))))
| converse(complement(join(one,join(converse(X_179),converse(X_434))))) != converse(complement(join(one,join(converse(X_179),converse(X_434)))))
| converse(complement(join(one,join(converse(X_179),converse(X_434))))) = converse(complement(converse(join(one,join(X_179,X_434))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(one,join(converse(X_179),converse(X_434))))),converse(complement(join(one,join(converse(X_179),converse(X_434)))))) ),[1,0],$fot(complement(converse(join(one,join(X_179,X_434)))))]]) ).
cnf(refute_0_874,plain,
( complement(join(one,join(converse(X_179),converse(X_434)))) != complement(converse(join(one,join(X_179,X_434))))
| converse(complement(join(one,join(converse(X_179),converse(X_434))))) = converse(complement(converse(join(one,join(X_179,X_434))))) ),
inference(resolve,[$cnf( $equal(converse(complement(join(one,join(converse(X_179),converse(X_434))))),converse(complement(join(one,join(converse(X_179),converse(X_434)))))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
converse(complement(join(one,join(converse(X_179),converse(X_434))))) = converse(complement(converse(join(one,join(X_179,X_434))))),
inference(resolve,[$cnf( $equal(complement(join(one,join(converse(X_179),converse(X_434)))),complement(converse(join(one,join(X_179,X_434))))) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))) = join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))),
introduced(tautology,[refl,[$fot(join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))]]) ).
cnf(refute_0_877,plain,
( converse(complement(join(one,join(converse(X_179),converse(X_434))))) != converse(complement(converse(join(one,join(X_179,X_434)))))
| join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))) != join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))
| join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))) = join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))),join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) ),[1,1],$fot(converse(complement(converse(join(one,join(X_179,X_434))))))]]) ).
cnf(refute_0_878,plain,
( converse(complement(join(one,join(converse(X_179),converse(X_434))))) != converse(complement(converse(join(one,join(X_179,X_434)))))
| join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))) = join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))) ),
inference(resolve,[$cnf( $equal(join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))),join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))) = join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))),
inference(resolve,[$cnf( $equal(converse(complement(join(one,join(converse(X_179),converse(X_434))))),converse(complement(converse(join(one,join(X_179,X_434)))))) )],[refute_0_875,refute_0_878]) ).
cnf(refute_0_880,plain,
join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) = join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))),
introduced(tautology,[refl,[$fot(join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))))]]) ).
cnf(refute_0_881,plain,
( join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))) != join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))
| join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) != join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))
| join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) = join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))),join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))) ),[1,1],$fot(join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))]]) ).
cnf(refute_0_882,plain,
( join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))) != join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))
| join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) = join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))),join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) = join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))),
inference(resolve,[$cnf( $equal(join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))),join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))) )],[refute_0_879,refute_0_882]) ).
cnf(refute_0_884,plain,
join(join(one,X_179),converse(complement(join(one,join(converse(X_179),converse(X_434)))))) = join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(X_179)),bind(X2,$fot(converse(complement(join(one,join(converse(X_179),converse(X_434)))))))]]) ).
cnf(refute_0_885,plain,
converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) = join(join(one,X_179),converse(complement(join(one,join(converse(X_179),converse(X_434)))))),
inference(subst,[],[refute_0_413:[bind(X0,$fot(join(one,X_179))),bind(X_7,$fot(complement(join(one,join(converse(X_179),converse(X_434))))))]]) ).
cnf(refute_0_886,plain,
( converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) != join(join(one,X_179),converse(complement(join(one,join(converse(X_179),converse(X_434))))))
| join(join(one,X_179),converse(complement(join(one,join(converse(X_179),converse(X_434)))))) != join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))
| converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) = join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))),bind(Y,$fot(join(join(one,X_179),converse(complement(join(one,join(converse(X_179),converse(X_434)))))))),bind(Z,$fot(join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))))]]) ).
cnf(refute_0_887,plain,
( join(join(one,X_179),converse(complement(join(one,join(converse(X_179),converse(X_434)))))) != join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))
| converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) = join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))),join(join(one,X_179),converse(complement(join(one,join(converse(X_179),converse(X_434))))))) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) = join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))),
inference(resolve,[$cnf( $equal(join(join(one,X_179),converse(complement(join(one,join(converse(X_179),converse(X_434)))))),join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))) )],[refute_0_884,refute_0_887]) ).
cnf(refute_0_889,plain,
( converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) != join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))
| join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) != join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))
| converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) = join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))),bind(Y,$fot(join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))))),bind(Z,$fot(join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))))]]) ).
cnf(refute_0_890,plain,
( join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))) != join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))
| converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) = join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))),join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434)))))))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) = join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))),
inference(resolve,[$cnf( $equal(join(one,join(X_179,converse(complement(join(one,join(converse(X_179),converse(X_434))))))),join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))) )],[refute_0_883,refute_0_890]) ).
cnf(refute_0_892,plain,
join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))) = join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))),
introduced(tautology,[refl,[$fot(join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))))]]) ).
cnf(refute_0_893,plain,
( converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) != join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))
| join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))) != join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))
| join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))) = join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))),join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))) ),[1,1],$fot(join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))))]]) ).
cnf(refute_0_894,plain,
( converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))) != join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))
| join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))) = join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))) ),
inference(resolve,[$cnf( $equal(join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))),join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))) = join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))),join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))) )],[refute_0_891,refute_0_894]) ).
cnf(refute_0_896,plain,
( join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))) != join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))))
| top != join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))
| top = join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))) ),[1],$fot(join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))))]]) ).
cnf(refute_0_897,plain,
( top != join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))
| top = join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))) ),
inference(resolve,[$cnf( $equal(join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434))))))),join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434))))))))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
top = join(X_434,join(one,join(X_179,converse(complement(converse(join(one,join(X_179,X_434)))))))),
inference(resolve,[$cnf( $equal(top,join(X_434,converse(join(converse(join(one,X_179)),complement(join(one,join(converse(X_179),converse(X_434)))))))) )],[refute_0_858,refute_0_897]) ).
cnf(refute_0_899,plain,
top = join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(one,join(converse(skolemFOFtoCNF_X0),X_298))))))))),
inference(subst,[],[refute_0_898:[bind(X_179,$fot(one)),bind(X_434,$fot(join(converse(skolemFOFtoCNF_X0),X_298)))]]) ).
cnf(refute_0_900,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X_298)) = join(X_298,converse(join(one,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_852:[bind(X_179,$fot(skolemFOFtoCNF_X0)),bind(X_181,$fot(X_298))]]) ).
cnf(refute_0_901,plain,
join(skolemFOFtoCNF_X0,one) = one,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_902,plain,
join(skolemFOFtoCNF_X0,one) = join(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_51:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_903,plain,
( join(skolemFOFtoCNF_X0,one) != join(one,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,one) != one
| join(one,skolemFOFtoCNF_X0) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) ),[0],$fot(join(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_904,plain,
( join(skolemFOFtoCNF_X0,one) != one
| join(one,skolemFOFtoCNF_X0) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),join(one,skolemFOFtoCNF_X0)) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
join(one,skolemFOFtoCNF_X0) = one,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) )],[refute_0_901,refute_0_904]) ).
cnf(refute_0_906,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X_298)) != join(X_298,converse(join(one,skolemFOFtoCNF_X0)))
| join(one,skolemFOFtoCNF_X0) != one
| join(one,join(converse(skolemFOFtoCNF_X0),X_298)) = join(X_298,converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_298)),join(X_298,converse(join(one,skolemFOFtoCNF_X0)))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_907,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X_298)) != join(X_298,converse(join(one,skolemFOFtoCNF_X0)))
| join(one,join(converse(skolemFOFtoCNF_X0),X_298)) = join(X_298,converse(one)) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X_298)) = join(X_298,converse(one)),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_298)),join(X_298,converse(join(one,skolemFOFtoCNF_X0)))) )],[refute_0_900,refute_0_907]) ).
cnf(refute_0_909,plain,
join(X_298,converse(one)) = join(X_298,converse(one)),
introduced(tautology,[refl,[$fot(join(X_298,converse(one)))]]) ).
cnf(refute_0_910,plain,
( converse(one) != one
| join(X_298,converse(one)) != join(X_298,converse(one))
| join(X_298,converse(one)) = join(X_298,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,converse(one)),join(X_298,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_911,plain,
( converse(one) != one
| join(X_298,converse(one)) = join(X_298,one) ),
inference(resolve,[$cnf( $equal(join(X_298,converse(one)),join(X_298,converse(one))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
join(X_298,converse(one)) = join(X_298,one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_911]) ).
cnf(refute_0_913,plain,
( join(X_298,converse(one)) != join(X_298,one)
| join(one,join(converse(skolemFOFtoCNF_X0),X_298)) != join(X_298,converse(one))
| join(one,join(converse(skolemFOFtoCNF_X0),X_298)) = join(X_298,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_298)),join(X_298,converse(one))) ),[1],$fot(join(X_298,one))]]) ).
cnf(refute_0_914,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X_298)) != join(X_298,converse(one))
| join(one,join(converse(skolemFOFtoCNF_X0),X_298)) = join(X_298,one) ),
inference(resolve,[$cnf( $equal(join(X_298,converse(one)),join(X_298,one)) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X_298)) = join(X_298,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_298)),join(X_298,converse(one))) )],[refute_0_908,refute_0_914]) ).
cnf(refute_0_916,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X_298)) != join(X_298,one)
| top != join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(one,join(converse(skolemFOFtoCNF_X0),X_298)))))))))
| top = join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(one,join(converse(skolemFOFtoCNF_X0),X_298)))))))))) ),[1,1,1,1,0,0,0,1],$fot(join(X_298,one))]]) ).
cnf(refute_0_917,plain,
( top != join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(one,join(converse(skolemFOFtoCNF_X0),X_298)))))))))
| top = join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_298)),join(X_298,one)) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
top = join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),
inference(resolve,[$cnf( $equal(top,join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(one,join(converse(skolemFOFtoCNF_X0),X_298)))))))))) )],[refute_0_899,refute_0_917]) ).
cnf(refute_0_919,plain,
complement(complement(X_21)) = join(complement(join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21))))),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(X_21))),bind(X_32,$fot(composition(X0,complement(composition(converse(X0),X_21)))))]]) ).
cnf(refute_0_920,plain,
( complement(complement(X_21)) != join(complement(join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21))))),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21)))) != complement(X_21)
| complement(complement(X_21)) = join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_21)),join(complement(join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21))))),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) ),[1,0,0],$fot(complement(X_21))]]) ).
cnf(refute_0_921,plain,
( complement(complement(X_21)) != join(complement(join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21))))),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| complement(complement(X_21)) = join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21)))),complement(X_21)) )],[refute_0_458,refute_0_920]) ).
cnf(refute_0_922,plain,
complement(complement(X_21)) = join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),
inference(resolve,[$cnf( $equal(complement(complement(X_21)),join(complement(join(complement(X_21),composition(X0,complement(composition(converse(X0),X_21))))),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) )],[refute_0_919,refute_0_921]) ).
cnf(refute_0_923,plain,
complement(complement(X_21)) = X_21,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_21))]]) ).
cnf(refute_0_924,plain,
( complement(complement(X_21)) != X_21
| complement(complement(X_21)) != join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| X_21 = join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_21)),join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) ),[0],$fot(X_21)]]) ).
cnf(refute_0_925,plain,
( complement(complement(X_21)) != join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| X_21 = join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_21)),X_21) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))) = meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))]]) ).
cnf(refute_0_927,plain,
( complement(complement(X_21)) != X_21
| meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))) != meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))
| meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))) = meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) ),[1,0],$fot(X_21)]]) ).
cnf(refute_0_928,plain,
( complement(complement(X_21)) != X_21
| meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))) = meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))) = meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))),
inference(resolve,[$cnf( $equal(complement(complement(X_21)),X_21) )],[refute_0_923,refute_0_928]) ).
cnf(refute_0_930,plain,
join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),
introduced(tautology,[refl,[$fot(join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))))]]) ).
cnf(refute_0_931,plain,
( join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) != join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))) != meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))
| join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) ),[1,1],$fot(meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))))]]) ).
cnf(refute_0_932,plain,
( meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))) != meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))
| join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))) ),
inference(resolve,[$cnf( $equal(join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))),meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))) )],[refute_0_929,refute_0_932]) ).
cnf(refute_0_934,plain,
join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))))]]) ).
cnf(refute_0_935,plain,
( complement(complement(X_21)) != X_21
| join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) != join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) ),[1,0],$fot(X_21)]]) ).
cnf(refute_0_936,plain,
( complement(complement(X_21)) != X_21
| join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),
inference(resolve,[$cnf( $equal(complement(complement(X_21)),X_21) )],[refute_0_923,refute_0_936]) ).
cnf(refute_0_938,plain,
( join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) != join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))))
| join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) != join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))))),bind(Y,$fot(join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))))),bind(Z,$fot(join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))))))]]) ).
cnf(refute_0_939,plain,
( join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) != join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))))
| join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))),
inference(resolve,[$cnf( $equal(join(X_21,meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))))) )],[refute_0_933,refute_0_939]) ).
cnf(refute_0_941,plain,
( X_21 != join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))) != join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))))
| X_21 = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_21,join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))))) ),[0],$fot(join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))))]]) ).
cnf(refute_0_942,plain,
( X_21 != join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| X_21 = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21))))),join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21)))))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
( complement(complement(X_21)) != join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))
| X_21 = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))) ),
inference(resolve,[$cnf( $equal(X_21,join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) )],[refute_0_925,refute_0_942]) ).
cnf(refute_0_944,plain,
X_21 = join(X_21,meet(X_21,composition(X0,complement(composition(converse(X0),X_21))))),
inference(resolve,[$cnf( $equal(complement(complement(X_21)),join(complement(complement(X_21)),meet(complement(complement(X_21)),composition(X0,complement(composition(converse(X0),X_21)))))) )],[refute_0_922,refute_0_943]) ).
cnf(refute_0_945,plain,
X_354 = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(composition(converse(complement(composition(top,composition(X_354,top)))),X_354))))),
inference(subst,[],[refute_0_944:[bind(X0,$fot(complement(composition(top,composition(X_354,top))))),bind(X_21,$fot(X_354))]]) ).
cnf(refute_0_946,plain,
converse(composition(converse(X0),complement(converse(composition(top,composition(converse(X0),top)))))) = composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0),
inference(subst,[],[refute_0_62:[bind(X_14,$fot(complement(converse(composition(top,composition(converse(X0),top))))))]]) ).
cnf(refute_0_947,plain,
composition(composition(X_96,converse(X_95)),complement(composition(converse(composition(X_96,converse(X_95))),top))) = zero,
inference(subst,[],[refute_0_469:[bind(X_81,$fot(composition(X_96,converse(X_95))))]]) ).
cnf(refute_0_948,plain,
converse(composition(X_96,converse(X_95))) = composition(X_95,converse(X_96)),
inference(subst,[],[refute_0_450:[bind(X0,$fot(X_95)),bind(X_13,$fot(X_96))]]) ).
cnf(refute_0_949,plain,
( composition(composition(X_96,converse(X_95)),complement(composition(converse(composition(X_96,converse(X_95))),top))) != zero
| converse(composition(X_96,converse(X_95))) != composition(X_95,converse(X_96))
| composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(X_96,converse(X_95)),complement(composition(converse(composition(X_96,converse(X_95))),top))),zero) ),[0,1,0,0],$fot(composition(X_95,converse(X_96)))]]) ).
cnf(refute_0_950,plain,
( composition(composition(X_96,converse(X_95)),complement(composition(converse(composition(X_96,converse(X_95))),top))) != zero
| composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(X_96,converse(X_95))),composition(X_95,converse(X_96))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) = zero,
inference(resolve,[$cnf( $equal(composition(composition(X_96,converse(X_95)),complement(composition(converse(composition(X_96,converse(X_95))),top))),zero) )],[refute_0_947,refute_0_950]) ).
cnf(refute_0_952,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_953,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_954,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
composition(composition(X_95,converse(X_96)),top) = composition(X_95,composition(converse(X_96),top)),
inference(subst,[],[refute_0_954:[bind(X0,$fot(X_95)),bind(X1,$fot(converse(X_96))),bind(X2,$fot(top))]]) ).
cnf(refute_0_956,plain,
complement(composition(composition(X_95,converse(X_96)),top)) = complement(composition(composition(X_95,converse(X_96)),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(X_95,converse(X_96)),top)))]]) ).
cnf(refute_0_957,plain,
( complement(composition(composition(X_95,converse(X_96)),top)) != complement(composition(composition(X_95,converse(X_96)),top))
| composition(composition(X_95,converse(X_96)),top) != composition(X_95,composition(converse(X_96),top))
| complement(composition(composition(X_95,converse(X_96)),top)) = complement(composition(X_95,composition(converse(X_96),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(X_95,converse(X_96)),top)),complement(composition(composition(X_95,converse(X_96)),top))) ),[1,0],$fot(composition(X_95,composition(converse(X_96),top)))]]) ).
cnf(refute_0_958,plain,
( composition(composition(X_95,converse(X_96)),top) != composition(X_95,composition(converse(X_96),top))
| complement(composition(composition(X_95,converse(X_96)),top)) = complement(composition(X_95,composition(converse(X_96),top))) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(X_95,converse(X_96)),top)),complement(composition(composition(X_95,converse(X_96)),top))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
complement(composition(composition(X_95,converse(X_96)),top)) = complement(composition(X_95,composition(converse(X_96),top))),
inference(resolve,[$cnf( $equal(composition(composition(X_95,converse(X_96)),top),composition(X_95,composition(converse(X_96),top))) )],[refute_0_955,refute_0_958]) ).
cnf(refute_0_960,plain,
composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))) = composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))),
introduced(tautology,[refl,[$fot(composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))))]]) ).
cnf(refute_0_961,plain,
( complement(composition(composition(X_95,converse(X_96)),top)) != complement(composition(X_95,composition(converse(X_96),top)))
| composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))) != composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))
| composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))) = composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))),composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) ),[1,1],$fot(complement(composition(X_95,composition(converse(X_96),top))))]]) ).
cnf(refute_0_962,plain,
( complement(composition(composition(X_95,converse(X_96)),top)) != complement(composition(X_95,composition(converse(X_96),top)))
| composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))) = composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))),composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) )],[refute_0_960,refute_0_961]) ).
cnf(refute_0_963,plain,
composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))) = composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))),
inference(resolve,[$cnf( $equal(complement(composition(composition(X_95,converse(X_96)),top)),complement(composition(X_95,composition(converse(X_96),top)))) )],[refute_0_959,refute_0_962]) ).
cnf(refute_0_964,plain,
composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) = composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))),
introduced(tautology,[refl,[$fot(composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))))]]) ).
cnf(refute_0_965,plain,
( composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) != composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))))
| composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))) != composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))
| composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))),composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))))) ),[1,1],$fot(composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))]]) ).
cnf(refute_0_966,plain,
( composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))) != composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))
| composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) ),
inference(resolve,[$cnf( $equal(composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))),composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))),
inference(resolve,[$cnf( $equal(composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))),composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) )],[refute_0_963,refute_0_966]) ).
cnf(refute_0_968,plain,
composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) = composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))),
inference(subst,[],[refute_0_954:[bind(X0,$fot(X_96)),bind(X1,$fot(converse(X_95))),bind(X2,$fot(complement(composition(composition(X_95,converse(X_96)),top))))]]) ).
cnf(refute_0_969,plain,
( composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) != composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))
| composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) != composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))))
| composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))))),bind(Y,$fot(composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))))),bind(Z,$fot(composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))))]]) ).
cnf(refute_0_970,plain,
( composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))) != composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))
| composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) ),
inference(resolve,[$cnf( $equal(composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))),composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top))))) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))),
inference(resolve,[$cnf( $equal(composition(X_96,composition(converse(X_95),complement(composition(composition(X_95,converse(X_96)),top)))),composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))) )],[refute_0_967,refute_0_970]) ).
cnf(refute_0_972,plain,
( composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) != composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))
| composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) != zero
| composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))),zero) ),[0],$fot(composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))))]]) ).
cnf(refute_0_973,plain,
( composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))) != zero
| composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))),composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) = zero,
inference(resolve,[$cnf( $equal(composition(composition(X_96,converse(X_95)),complement(composition(composition(X_95,converse(X_96)),top))),zero) )],[refute_0_951,refute_0_973]) ).
cnf(refute_0_975,plain,
converse(composition(converse(top),X_14)) = composition(converse(X_14),top),
inference(subst,[],[refute_0_62:[bind(X0,$fot(top))]]) ).
cnf(refute_0_976,plain,
( converse(composition(converse(top),X_14)) != composition(converse(X_14),top)
| converse(top) != top
| converse(composition(top,X_14)) = composition(converse(X_14),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_14)),composition(converse(X_14),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_977,plain,
( converse(composition(converse(top),X_14)) != composition(converse(X_14),top)
| converse(composition(top,X_14)) = composition(converse(X_14),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_976]) ).
cnf(refute_0_978,plain,
converse(composition(top,X_14)) = composition(converse(X_14),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_14)),composition(converse(X_14),top)) )],[refute_0_975,refute_0_977]) ).
cnf(refute_0_979,plain,
( converse(composition(top,X_14)) != composition(converse(X_14),top)
| composition(converse(X_14),top) = converse(composition(top,X_14)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,X_14)))),bind(Y,$fot(composition(converse(X_14),top)))]]) ).
cnf(refute_0_980,plain,
composition(converse(X_14),top) = converse(composition(top,X_14)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_14)),composition(converse(X_14),top)) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
composition(converse(X_96),top) = converse(composition(top,X_96)),
inference(subst,[],[refute_0_980:[bind(X_14,$fot(X_96))]]) ).
cnf(refute_0_982,plain,
composition(X_95,composition(converse(X_96),top)) = composition(X_95,composition(converse(X_96),top)),
introduced(tautology,[refl,[$fot(composition(X_95,composition(converse(X_96),top)))]]) ).
cnf(refute_0_983,plain,
( composition(X_95,composition(converse(X_96),top)) != composition(X_95,composition(converse(X_96),top))
| composition(converse(X_96),top) != converse(composition(top,X_96))
| composition(X_95,composition(converse(X_96),top)) = composition(X_95,converse(composition(top,X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_95,composition(converse(X_96),top)),composition(X_95,composition(converse(X_96),top))) ),[1,1],$fot(converse(composition(top,X_96)))]]) ).
cnf(refute_0_984,plain,
( composition(converse(X_96),top) != converse(composition(top,X_96))
| composition(X_95,composition(converse(X_96),top)) = composition(X_95,converse(composition(top,X_96))) ),
inference(resolve,[$cnf( $equal(composition(X_95,composition(converse(X_96),top)),composition(X_95,composition(converse(X_96),top))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
composition(X_95,composition(converse(X_96),top)) = composition(X_95,converse(composition(top,X_96))),
inference(resolve,[$cnf( $equal(composition(converse(X_96),top),converse(composition(top,X_96))) )],[refute_0_981,refute_0_984]) ).
cnf(refute_0_986,plain,
complement(composition(X_95,composition(converse(X_96),top))) = complement(composition(X_95,composition(converse(X_96),top))),
introduced(tautology,[refl,[$fot(complement(composition(X_95,composition(converse(X_96),top))))]]) ).
cnf(refute_0_987,plain,
( complement(composition(X_95,composition(converse(X_96),top))) != complement(composition(X_95,composition(converse(X_96),top)))
| composition(X_95,composition(converse(X_96),top)) != composition(X_95,converse(composition(top,X_96)))
| complement(composition(X_95,composition(converse(X_96),top))) = complement(composition(X_95,converse(composition(top,X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(X_95,composition(converse(X_96),top))),complement(composition(X_95,composition(converse(X_96),top)))) ),[1,0],$fot(composition(X_95,converse(composition(top,X_96))))]]) ).
cnf(refute_0_988,plain,
( composition(X_95,composition(converse(X_96),top)) != composition(X_95,converse(composition(top,X_96)))
| complement(composition(X_95,composition(converse(X_96),top))) = complement(composition(X_95,converse(composition(top,X_96)))) ),
inference(resolve,[$cnf( $equal(complement(composition(X_95,composition(converse(X_96),top))),complement(composition(X_95,composition(converse(X_96),top)))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
complement(composition(X_95,composition(converse(X_96),top))) = complement(composition(X_95,converse(composition(top,X_96)))),
inference(resolve,[$cnf( $equal(composition(X_95,composition(converse(X_96),top)),composition(X_95,converse(composition(top,X_96)))) )],[refute_0_985,refute_0_988]) ).
cnf(refute_0_990,plain,
composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) = composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))),
introduced(tautology,[refl,[$fot(composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))]]) ).
cnf(refute_0_991,plain,
( complement(composition(X_95,composition(converse(X_96),top))) != complement(composition(X_95,converse(composition(top,X_96))))
| composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) != composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))
| composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) = composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))),composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) ),[1,1],$fot(complement(composition(X_95,converse(composition(top,X_96)))))]]) ).
cnf(refute_0_992,plain,
( complement(composition(X_95,composition(converse(X_96),top))) != complement(composition(X_95,converse(composition(top,X_96))))
| composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) = composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96))))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))),composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) = composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96))))),
inference(resolve,[$cnf( $equal(complement(composition(X_95,composition(converse(X_96),top))),complement(composition(X_95,converse(composition(top,X_96))))) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))),
introduced(tautology,[refl,[$fot(composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))))]]) ).
cnf(refute_0_995,plain,
( composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) != composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))
| composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) != composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))
| composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))),composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))) ),[1,1],$fot(composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96))))))]]) ).
cnf(refute_0_996,plain,
( composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))) != composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))
| composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))) ),
inference(resolve,[$cnf( $equal(composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))),composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) = composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))),
inference(resolve,[$cnf( $equal(composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top)))),composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))) )],[refute_0_993,refute_0_996]) ).
cnf(refute_0_998,plain,
( composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) != composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96))))))
| composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) != zero
| composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))),zero) ),[0],$fot(composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))))]]) ).
cnf(refute_0_999,plain,
( composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))) != zero
| composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))),composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96))))))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
composition(X_96,composition(converse(X_95),complement(composition(X_95,converse(composition(top,X_96)))))) = zero,
inference(resolve,[$cnf( $equal(composition(X_96,composition(converse(X_95),complement(composition(X_95,composition(converse(X_96),top))))),zero) )],[refute_0_974,refute_0_999]) ).
cnf(refute_0_1001,plain,
composition(X_203,composition(converse(top),complement(composition(top,converse(composition(top,X_203)))))) = zero,
inference(subst,[],[refute_0_1000:[bind(X_95,$fot(top)),bind(X_96,$fot(X_203))]]) ).
cnf(refute_0_1002,plain,
( composition(X_203,composition(converse(top),complement(composition(top,converse(composition(top,X_203)))))) != zero
| converse(top) != top
| composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_203,composition(converse(top),complement(composition(top,converse(composition(top,X_203)))))),zero) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_1003,plain,
( composition(X_203,composition(converse(top),complement(composition(top,converse(composition(top,X_203)))))) != zero
| composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_1002]) ).
cnf(refute_0_1004,plain,
composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) = zero,
inference(resolve,[$cnf( $equal(composition(X_203,composition(converse(top),complement(composition(top,converse(composition(top,X_203)))))),zero) )],[refute_0_1001,refute_0_1003]) ).
cnf(refute_0_1005,plain,
composition(composition(top,X_203),top) = composition(top,composition(X_203,top)),
inference(subst,[],[refute_0_954:[bind(X0,$fot(top)),bind(X1,$fot(X_203)),bind(X2,$fot(top))]]) ).
cnf(refute_0_1006,plain,
converse(composition(composition(top,X_203),top)) = converse(composition(composition(top,X_203),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,X_203),top)))]]) ).
cnf(refute_0_1007,plain,
( composition(composition(top,X_203),top) != composition(top,composition(X_203,top))
| converse(composition(composition(top,X_203),top)) != converse(composition(composition(top,X_203),top))
| converse(composition(composition(top,X_203),top)) = converse(composition(top,composition(X_203,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(top,X_203),top)),converse(composition(composition(top,X_203),top))) ),[1,0],$fot(composition(top,composition(X_203,top)))]]) ).
cnf(refute_0_1008,plain,
( composition(composition(top,X_203),top) != composition(top,composition(X_203,top))
| converse(composition(composition(top,X_203),top)) = converse(composition(top,composition(X_203,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_203),top)),converse(composition(composition(top,X_203),top))) )],[refute_0_1006,refute_0_1007]) ).
cnf(refute_0_1009,plain,
converse(composition(composition(top,X_203),top)) = converse(composition(top,composition(X_203,top))),
inference(resolve,[$cnf( $equal(composition(composition(top,X_203),top),composition(top,composition(X_203,top))) )],[refute_0_1005,refute_0_1008]) ).
cnf(refute_0_1010,plain,
converse(composition(X_13,converse(top))) = composition(top,converse(X_13)),
inference(subst,[],[refute_0_450:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1011,plain,
( converse(composition(X_13,converse(top))) != composition(top,converse(X_13))
| converse(top) != top
| converse(composition(X_13,top)) = composition(top,converse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_13,converse(top))),composition(top,converse(X_13))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1012,plain,
( converse(composition(X_13,converse(top))) != composition(top,converse(X_13))
| converse(composition(X_13,top)) = composition(top,converse(X_13)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_1011]) ).
cnf(refute_0_1013,plain,
converse(composition(X_13,top)) = composition(top,converse(X_13)),
inference(resolve,[$cnf( $equal(converse(composition(X_13,converse(top))),composition(top,converse(X_13))) )],[refute_0_1010,refute_0_1012]) ).
cnf(refute_0_1014,plain,
( converse(composition(X_13,top)) != composition(top,converse(X_13))
| composition(top,converse(X_13)) = converse(composition(X_13,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X_13,top)))),bind(Y,$fot(composition(top,converse(X_13))))]]) ).
cnf(refute_0_1015,plain,
composition(top,converse(X_13)) = converse(composition(X_13,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_13,top)),composition(top,converse(X_13))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
composition(top,converse(composition(top,X_203))) = converse(composition(composition(top,X_203),top)),
inference(subst,[],[refute_0_1015:[bind(X_13,$fot(composition(top,X_203)))]]) ).
cnf(refute_0_1017,plain,
( composition(top,converse(composition(top,X_203))) != converse(composition(composition(top,X_203),top))
| converse(composition(composition(top,X_203),top)) != converse(composition(top,composition(X_203,top)))
| composition(top,converse(composition(top,X_203))) = converse(composition(top,composition(X_203,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,converse(composition(top,X_203))))),bind(Y,$fot(converse(composition(composition(top,X_203),top)))),bind(Z,$fot(converse(composition(top,composition(X_203,top)))))]]) ).
cnf(refute_0_1018,plain,
( converse(composition(composition(top,X_203),top)) != converse(composition(top,composition(X_203,top)))
| composition(top,converse(composition(top,X_203))) = converse(composition(top,composition(X_203,top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,X_203))),converse(composition(composition(top,X_203),top))) )],[refute_0_1016,refute_0_1017]) ).
cnf(refute_0_1019,plain,
composition(top,converse(composition(top,X_203))) = converse(composition(top,composition(X_203,top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,X_203),top)),converse(composition(top,composition(X_203,top)))) )],[refute_0_1009,refute_0_1018]) ).
cnf(refute_0_1020,plain,
complement(composition(top,converse(composition(top,X_203)))) = complement(composition(top,converse(composition(top,X_203)))),
introduced(tautology,[refl,[$fot(complement(composition(top,converse(composition(top,X_203)))))]]) ).
cnf(refute_0_1021,plain,
( complement(composition(top,converse(composition(top,X_203)))) != complement(composition(top,converse(composition(top,X_203))))
| composition(top,converse(composition(top,X_203))) != converse(composition(top,composition(X_203,top)))
| complement(composition(top,converse(composition(top,X_203)))) = complement(converse(composition(top,composition(X_203,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,converse(composition(top,X_203)))),complement(composition(top,converse(composition(top,X_203))))) ),[1,0],$fot(converse(composition(top,composition(X_203,top))))]]) ).
cnf(refute_0_1022,plain,
( composition(top,converse(composition(top,X_203))) != converse(composition(top,composition(X_203,top)))
| complement(composition(top,converse(composition(top,X_203)))) = complement(converse(composition(top,composition(X_203,top)))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(composition(top,X_203)))),complement(composition(top,converse(composition(top,X_203))))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
complement(composition(top,converse(composition(top,X_203)))) = complement(converse(composition(top,composition(X_203,top)))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,X_203))),converse(composition(top,composition(X_203,top)))) )],[refute_0_1019,refute_0_1022]) ).
cnf(refute_0_1024,plain,
join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,composition(top,X_192))))) = complement(composition(top,X_192)),
inference(subst,[],[refute_0_55:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_192)))]]) ).
cnf(refute_0_1025,plain,
composition(top,composition(top,X2)) = composition(composition(top,top),X2),
inference(subst,[],[refute_0_952:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1026,plain,
composition(converse(join(one,converse(complement(converse(one))))),top) = top,
inference(subst,[],[refute_0_744:[bind(X0,$fot(converse(complement(converse(one)))))]]) ).
cnf(refute_0_1027,plain,
converse(top) = join(one,converse(complement(converse(one)))),
inference(subst,[],[refute_0_420:[bind(X_10,$fot(one))]]) ).
cnf(refute_0_1028,plain,
( converse(top) != join(one,converse(complement(converse(one))))
| join(one,converse(complement(converse(one)))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(one,converse(complement(converse(one))))))]]) ).
cnf(refute_0_1029,plain,
join(one,converse(complement(converse(one)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(one,converse(complement(converse(one))))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
( composition(converse(join(one,converse(complement(converse(one))))),top) != top
| join(one,converse(complement(converse(one)))) != converse(top)
| composition(converse(converse(top)),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,converse(complement(converse(one))))),top),top) ),[0,0,0],$fot(converse(top))]]) ).
cnf(refute_0_1031,plain,
( composition(converse(join(one,converse(complement(converse(one))))),top) != top
| composition(converse(converse(top)),top) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(one)))),converse(top)) )],[refute_0_1029,refute_0_1030]) ).
cnf(refute_0_1032,plain,
composition(converse(converse(top)),top) = top,
inference(resolve,[$cnf( $equal(composition(converse(join(one,converse(complement(converse(one))))),top),top) )],[refute_0_1026,refute_0_1031]) ).
cnf(refute_0_1033,plain,
composition(converse(converse(top)),top) = composition(converse(converse(top)),top),
introduced(tautology,[refl,[$fot(composition(converse(converse(top)),top))]]) ).
cnf(refute_0_1034,plain,
( composition(converse(converse(top)),top) != composition(converse(converse(top)),top)
| converse(converse(top)) != top
| composition(converse(converse(top)),top) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(top)),top),composition(converse(converse(top)),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1035,plain,
( converse(converse(top)) != top
| composition(converse(converse(top)),top) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(top)),top),composition(converse(converse(top)),top)) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
composition(converse(converse(top)),top) = composition(top,top),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_493,refute_0_1035]) ).
cnf(refute_0_1037,plain,
( composition(converse(converse(top)),top) != composition(top,top)
| composition(converse(converse(top)),top) != top
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(top)),top),top) ),[0],$fot(composition(top,top))]]) ).
cnf(refute_0_1038,plain,
( composition(converse(converse(top)),top) != top
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(composition(converse(converse(top)),top),composition(top,top)) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(composition(converse(converse(top)),top),top) )],[refute_0_1032,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,top) != top
| composition(top,composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1041,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
composition(top,composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) )],[refute_0_1025,refute_0_1041]) ).
cnf(refute_0_1043,plain,
composition(top,composition(top,X_192)) = composition(top,X_192),
inference(subst,[],[refute_0_1042:[bind(X2,$fot(X_192))]]) ).
cnf(refute_0_1044,plain,
( composition(top,composition(top,X_192)) != composition(top,X_192)
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,composition(top,X_192))))) != complement(composition(top,X_192))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = complement(composition(top,X_192)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,composition(top,X_192))))),complement(composition(top,X_192))) ),[0,1,1,0],$fot(composition(top,X_192))]]) ).
cnf(refute_0_1045,plain,
( join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,composition(top,X_192))))) != complement(composition(top,X_192))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = complement(composition(top,X_192)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_192)),composition(top,X_192)) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = complement(composition(top,X_192)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,composition(top,X_192))))),complement(composition(top,X_192))) )],[refute_0_1024,refute_0_1045]) ).
cnf(refute_0_1047,plain,
top = join(join(X_63,X_64),complement(join(X_63,X_64))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(join(X_63,X_64)))]]) ).
cnf(refute_0_1048,plain,
join(X_63,join(X_64,complement(join(X_63,X_64)))) = join(join(X_63,X_64),complement(join(X_63,X_64))),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_63)),bind(X1,$fot(X_64)),bind(X2,$fot(complement(join(X_63,X_64))))]]) ).
cnf(refute_0_1049,plain,
( join(X_63,join(X_64,complement(join(X_63,X_64)))) != join(join(X_63,X_64),complement(join(X_63,X_64)))
| join(join(X_63,X_64),complement(join(X_63,X_64))) = join(X_63,join(X_64,complement(join(X_63,X_64)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_63,join(X_64,complement(join(X_63,X_64)))))),bind(Y,$fot(join(join(X_63,X_64),complement(join(X_63,X_64)))))]]) ).
cnf(refute_0_1050,plain,
join(join(X_63,X_64),complement(join(X_63,X_64))) = join(X_63,join(X_64,complement(join(X_63,X_64)))),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,complement(join(X_63,X_64)))),join(join(X_63,X_64),complement(join(X_63,X_64)))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
( join(join(X_63,X_64),complement(join(X_63,X_64))) != join(X_63,join(X_64,complement(join(X_63,X_64))))
| top != join(join(X_63,X_64),complement(join(X_63,X_64)))
| top = join(X_63,join(X_64,complement(join(X_63,X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_63,X_64),complement(join(X_63,X_64)))) ),[1],$fot(join(X_63,join(X_64,complement(join(X_63,X_64)))))]]) ).
cnf(refute_0_1052,plain,
( top != join(join(X_63,X_64),complement(join(X_63,X_64)))
| top = join(X_63,join(X_64,complement(join(X_63,X_64)))) ),
inference(resolve,[$cnf( $equal(join(join(X_63,X_64),complement(join(X_63,X_64))),join(X_63,join(X_64,complement(join(X_63,X_64))))) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
top = join(X_63,join(X_64,complement(join(X_63,X_64)))),
inference(resolve,[$cnf( $equal(top,join(join(X_63,X_64),complement(join(X_63,X_64)))) )],[refute_0_1047,refute_0_1052]) ).
cnf(refute_0_1054,plain,
top = join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(top,meet(join(X_104,top),meet(zero,X_104)))))),
inference(subst,[],[refute_0_1053:[bind(X_63,$fot(top)),bind(X_64,$fot(meet(join(X_104,top),meet(zero,X_104))))]]) ).
cnf(refute_0_1055,plain,
join(X_56,top) = join(meet(join(X_56,top),meet(zero,X_56)),complement(join(meet(zero,X_56),complement(join(X_56,top))))),
inference(subst,[],[refute_0_336:[bind(X_31,$fot(join(X_56,top))),bind(X_32,$fot(meet(zero,X_56)))]]) ).
cnf(refute_0_1056,plain,
zero = join(meet(zero,X_55),complement(join(X_55,complement(zero)))),
inference(subst,[],[refute_0_336:[bind(X_31,$fot(zero)),bind(X_32,$fot(X_55))]]) ).
cnf(refute_0_1057,plain,
( complement(zero) != top
| zero != join(meet(zero,X_55),complement(join(X_55,complement(zero))))
| zero = join(meet(zero,X_55),complement(join(X_55,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_55),complement(join(X_55,complement(zero))))) ),[1,1,0,1],$fot(top)]]) ).
cnf(refute_0_1058,plain,
( zero != join(meet(zero,X_55),complement(join(X_55,complement(zero))))
| zero = join(meet(zero,X_55),complement(join(X_55,top))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_1057]) ).
cnf(refute_0_1059,plain,
zero = join(meet(zero,X_55),complement(join(X_55,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_55),complement(join(X_55,complement(zero))))) )],[refute_0_1056,refute_0_1058]) ).
cnf(refute_0_1060,plain,
zero = join(meet(zero,X_56),complement(join(X_56,top))),
inference(subst,[],[refute_0_1059:[bind(X_55,$fot(X_56))]]) ).
cnf(refute_0_1061,plain,
( zero != join(meet(zero,X_56),complement(join(X_56,top)))
| join(meet(zero,X_56),complement(join(X_56,top))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(zero,X_56),complement(join(X_56,top)))))]]) ).
cnf(refute_0_1062,plain,
join(meet(zero,X_56),complement(join(X_56,top))) = zero,
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_56),complement(join(X_56,top)))) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
( join(X_56,top) != join(meet(join(X_56,top),meet(zero,X_56)),complement(join(meet(zero,X_56),complement(join(X_56,top)))))
| join(meet(zero,X_56),complement(join(X_56,top))) != zero
| join(X_56,top) = join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_56,top),join(meet(join(X_56,top),meet(zero,X_56)),complement(join(meet(zero,X_56),complement(join(X_56,top)))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_1064,plain,
( join(X_56,top) != join(meet(join(X_56,top),meet(zero,X_56)),complement(join(meet(zero,X_56),complement(join(X_56,top)))))
| join(X_56,top) = join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_56),complement(join(X_56,top))),zero) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
join(X_56,top) = join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)),
inference(resolve,[$cnf( $equal(join(X_56,top),join(meet(join(X_56,top),meet(zero,X_56)),complement(join(meet(zero,X_56),complement(join(X_56,top)))))) )],[refute_0_1055,refute_0_1064]) ).
cnf(refute_0_1066,plain,
join(complement(zero),meet(join(X_56,top),meet(zero,X_56))) = join(complement(zero),meet(join(X_56,top),meet(zero,X_56))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(join(X_56,top),meet(zero,X_56))))]]) ).
cnf(refute_0_1067,plain,
( complement(zero) != top
| join(complement(zero),meet(join(X_56,top),meet(zero,X_56))) != join(complement(zero),meet(join(X_56,top),meet(zero,X_56)))
| join(complement(zero),meet(join(X_56,top),meet(zero,X_56))) = join(top,meet(join(X_56,top),meet(zero,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(X_56,top),meet(zero,X_56))),join(complement(zero),meet(join(X_56,top),meet(zero,X_56)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1068,plain,
( complement(zero) != top
| join(complement(zero),meet(join(X_56,top),meet(zero,X_56))) = join(top,meet(join(X_56,top),meet(zero,X_56))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(X_56,top),meet(zero,X_56))),join(complement(zero),meet(join(X_56,top),meet(zero,X_56)))) )],[refute_0_1066,refute_0_1067]) ).
cnf(refute_0_1069,plain,
join(complement(zero),meet(join(X_56,top),meet(zero,X_56))) = join(top,meet(join(X_56,top),meet(zero,X_56))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_1068]) ).
cnf(refute_0_1070,plain,
join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)) = join(complement(zero),meet(join(X_56,top),meet(zero,X_56))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(zero))),bind(X1,$fot(meet(join(X_56,top),meet(zero,X_56))))]]) ).
cnf(refute_0_1071,plain,
( join(complement(zero),meet(join(X_56,top),meet(zero,X_56))) != join(top,meet(join(X_56,top),meet(zero,X_56)))
| join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)) != join(complement(zero),meet(join(X_56,top),meet(zero,X_56)))
| join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)) = join(top,meet(join(X_56,top),meet(zero,X_56))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(join(X_56,top),meet(zero,X_56))))),bind(Z,$fot(join(top,meet(join(X_56,top),meet(zero,X_56)))))]]) ).
cnf(refute_0_1072,plain,
( join(complement(zero),meet(join(X_56,top),meet(zero,X_56))) != join(top,meet(join(X_56,top),meet(zero,X_56)))
| join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)) = join(top,meet(join(X_56,top),meet(zero,X_56))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)),join(complement(zero),meet(join(X_56,top),meet(zero,X_56)))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)) = join(top,meet(join(X_56,top),meet(zero,X_56))),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(X_56,top),meet(zero,X_56))),join(top,meet(join(X_56,top),meet(zero,X_56)))) )],[refute_0_1069,refute_0_1072]) ).
cnf(refute_0_1074,plain,
( join(X_56,top) != join(meet(join(X_56,top),meet(zero,X_56)),complement(zero))
| join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)) != join(top,meet(join(X_56,top),meet(zero,X_56)))
| join(X_56,top) = join(top,meet(join(X_56,top),meet(zero,X_56))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_56,top),join(top,meet(join(X_56,top),meet(zero,X_56)))) ),[0],$fot(join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)))]]) ).
cnf(refute_0_1075,plain,
( join(X_56,top) != join(meet(join(X_56,top),meet(zero,X_56)),complement(zero))
| join(X_56,top) = join(top,meet(join(X_56,top),meet(zero,X_56))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_56,top),meet(zero,X_56)),complement(zero)),join(top,meet(join(X_56,top),meet(zero,X_56)))) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
join(X_56,top) = join(top,meet(join(X_56,top),meet(zero,X_56))),
inference(resolve,[$cnf( $equal(join(X_56,top),join(meet(join(X_56,top),meet(zero,X_56)),complement(zero))) )],[refute_0_1065,refute_0_1075]) ).
cnf(refute_0_1077,plain,
join(X_104,top) = join(top,meet(join(X_104,top),meet(zero,X_104))),
inference(subst,[],[refute_0_1076:[bind(X_56,$fot(X_104))]]) ).
cnf(refute_0_1078,plain,
( join(X_104,top) != join(top,meet(join(X_104,top),meet(zero,X_104)))
| join(top,meet(join(X_104,top),meet(zero,X_104))) = join(X_104,top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_104,top))),bind(Y,$fot(join(top,meet(join(X_104,top),meet(zero,X_104)))))]]) ).
cnf(refute_0_1079,plain,
join(top,meet(join(X_104,top),meet(zero,X_104))) = join(X_104,top),
inference(resolve,[$cnf( $equal(join(X_104,top),join(top,meet(join(X_104,top),meet(zero,X_104)))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
( join(top,meet(join(X_104,top),meet(zero,X_104))) != join(X_104,top)
| top != join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(top,meet(join(X_104,top),meet(zero,X_104))))))
| top = join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(top,meet(join(X_104,top),meet(zero,X_104))))))) ),[1,1,1,0],$fot(join(X_104,top))]]) ).
cnf(refute_0_1081,plain,
( top != join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(top,meet(join(X_104,top),meet(zero,X_104))))))
| top = join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top)))) ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_104,top),meet(zero,X_104))),join(X_104,top)) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
top = join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top)))),
inference(resolve,[$cnf( $equal(top,join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(top,meet(join(X_104,top),meet(zero,X_104))))))) )],[refute_0_1054,refute_0_1081]) ).
cnf(refute_0_1083,plain,
join(X_63,join(X_64,X_65)) = join(join(X_63,X_64),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_63)),bind(X1,$fot(X_64)),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_1084,plain,
join(X_65,X_64) = join(X_64,X_65),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_65)),bind(X1,$fot(X_64))]]) ).
cnf(refute_0_1085,plain,
( join(X_65,X_64) != join(X_64,X_65)
| join(X_64,X_65) = join(X_65,X_64) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_65,X_64))),bind(Y,$fot(join(X_64,X_65)))]]) ).
cnf(refute_0_1086,plain,
join(X_64,X_65) = join(X_65,X_64),
inference(resolve,[$cnf( $equal(join(X_65,X_64),join(X_64,X_65)) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
( join(X_63,join(X_64,X_65)) != join(join(X_63,X_64),X_65)
| join(X_64,X_65) != join(X_65,X_64)
| join(X_63,join(X_65,X_64)) = join(join(X_63,X_64),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_63,join(X_64,X_65)),join(join(X_63,X_64),X_65)) ),[0,1],$fot(join(X_65,X_64))]]) ).
cnf(refute_0_1088,plain,
( join(X_63,join(X_64,X_65)) != join(join(X_63,X_64),X_65)
| join(X_63,join(X_65,X_64)) = join(join(X_63,X_64),X_65) ),
inference(resolve,[$cnf( $equal(join(X_64,X_65),join(X_65,X_64)) )],[refute_0_1086,refute_0_1087]) ).
cnf(refute_0_1089,plain,
join(X_63,join(X_65,X_64)) = join(join(X_63,X_64),X_65),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,X_65)),join(join(X_63,X_64),X_65)) )],[refute_0_1083,refute_0_1088]) ).
cnf(refute_0_1090,plain,
join(join(X_63,X_64),X_65) = join(X_63,join(X_64,X_65)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_63)),bind(X1,$fot(X_64)),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_1091,plain,
( join(X_63,join(X_65,X_64)) != join(join(X_63,X_64),X_65)
| join(join(X_63,X_64),X_65) != join(X_63,join(X_64,X_65))
| join(X_63,join(X_65,X_64)) = join(X_63,join(X_64,X_65)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_63,join(X_65,X_64)),join(X_63,join(X_64,X_65))) ),[0],$fot(join(join(X_63,X_64),X_65))]]) ).
cnf(refute_0_1092,plain,
( join(X_63,join(X_65,X_64)) != join(join(X_63,X_64),X_65)
| join(X_63,join(X_65,X_64)) = join(X_63,join(X_64,X_65)) ),
inference(resolve,[$cnf( $equal(join(join(X_63,X_64),X_65),join(X_63,join(X_64,X_65))) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
join(X_63,join(X_65,X_64)) = join(X_63,join(X_64,X_65)),
inference(resolve,[$cnf( $equal(join(X_63,join(X_65,X_64)),join(join(X_63,X_64),X_65)) )],[refute_0_1089,refute_0_1092]) ).
cnf(refute_0_1094,plain,
( join(X_63,join(X_65,X_64)) != join(X_63,join(X_64,X_65))
| join(X_63,join(X_64,X_65)) = join(X_63,join(X_65,X_64)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_63,join(X_65,X_64)))),bind(Y,$fot(join(X_63,join(X_64,X_65))))]]) ).
cnf(refute_0_1095,plain,
join(X_63,join(X_64,X_65)) = join(X_63,join(X_65,X_64)),
inference(resolve,[$cnf( $equal(join(X_63,join(X_65,X_64)),join(X_63,join(X_64,X_65))) )],[refute_0_1093,refute_0_1094]) ).
cnf(refute_0_1096,plain,
join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top)))) = join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(top)),bind(X_64,$fot(meet(join(X_104,top),meet(zero,X_104)))),bind(X_65,$fot(complement(join(X_104,top))))]]) ).
cnf(refute_0_1097,plain,
( join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top)))) != join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104))))
| top != join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top))))
| top = join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top))))) ),[1],$fot(join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))))]]) ).
cnf(refute_0_1098,plain,
( top != join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top))))
| top = join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))) ),
inference(resolve,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top)))),join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104))))) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
top = join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))),
inference(resolve,[$cnf( $equal(top,join(top,join(meet(join(X_104,top),meet(zero,X_104)),complement(join(X_104,top))))) )],[refute_0_1082,refute_0_1098]) ).
cnf(refute_0_1100,plain,
join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(join(complement(X_107),meet(X_107,join(top,complement(X_107)))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(X_107))),bind(X1,$fot(meet(X_107,join(top,complement(X_107)))))]]) ).
cnf(refute_0_1101,plain,
X_44 = join(meet(X_44,X_43),meet(X_44,complement(X_43))),
inference(subst,[],[refute_0_618:[bind(X1,$fot(X_43)),bind(X_31,$fot(X_44))]]) ).
cnf(refute_0_1102,plain,
meet(complement(X_43),X_44) = meet(X_44,complement(X_43)),
inference(subst,[],[refute_0_352:[bind(X_24,$fot(complement(X_43))),bind(X_25,$fot(X_44))]]) ).
cnf(refute_0_1103,plain,
( meet(complement(X_43),X_44) != meet(X_44,complement(X_43))
| meet(X_44,complement(X_43)) = meet(complement(X_43),X_44) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(X_43),X_44))),bind(Y,$fot(meet(X_44,complement(X_43))))]]) ).
cnf(refute_0_1104,plain,
meet(X_44,complement(X_43)) = meet(complement(X_43),X_44),
inference(resolve,[$cnf( $equal(meet(complement(X_43),X_44),meet(X_44,complement(X_43))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
( X_44 != join(meet(X_44,X_43),meet(X_44,complement(X_43)))
| meet(X_44,complement(X_43)) != meet(complement(X_43),X_44)
| X_44 = join(meet(X_44,X_43),meet(complement(X_43),X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(X_44,join(meet(X_44,X_43),meet(X_44,complement(X_43)))) ),[1,1],$fot(meet(complement(X_43),X_44))]]) ).
cnf(refute_0_1106,plain,
( X_44 != join(meet(X_44,X_43),meet(X_44,complement(X_43)))
| X_44 = join(meet(X_44,X_43),meet(complement(X_43),X_44)) ),
inference(resolve,[$cnf( $equal(meet(X_44,complement(X_43)),meet(complement(X_43),X_44)) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
X_44 = join(meet(X_44,X_43),meet(complement(X_43),X_44)),
inference(resolve,[$cnf( $equal(X_44,join(meet(X_44,X_43),meet(X_44,complement(X_43)))) )],[refute_0_1101,refute_0_1106]) ).
cnf(refute_0_1108,plain,
join(complement(X_97),top) = join(meet(join(complement(X_97),top),X_97),meet(complement(X_97),join(complement(X_97),top))),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(X_97)),bind(X_44,$fot(join(complement(X_97),top)))]]) ).
cnf(refute_0_1109,plain,
meet(X_85,join(X_85,top)) = complement(complement(meet(X_85,join(X_85,top)))),
inference(subst,[],[refute_0_301:[bind(X0,$fot(meet(X_85,join(X_85,top))))]]) ).
cnf(refute_0_1110,plain,
X_31 = join(meet(X_31,top),complement(join(complement(X_31),top))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_31)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1111,plain,
meet(X_31,top) = meet(top,X_31),
inference(subst,[],[refute_0_517:[bind(X0,$fot(X_31))]]) ).
cnf(refute_0_1112,plain,
( X_31 != join(meet(X_31,top),complement(join(complement(X_31),top)))
| meet(X_31,top) != meet(top,X_31)
| X_31 = join(meet(top,X_31),complement(join(complement(X_31),top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_31,join(meet(X_31,top),complement(join(complement(X_31),top)))) ),[1,0],$fot(meet(top,X_31))]]) ).
cnf(refute_0_1113,plain,
( X_31 != join(meet(X_31,top),complement(join(complement(X_31),top)))
| X_31 = join(meet(top,X_31),complement(join(complement(X_31),top))) ),
inference(resolve,[$cnf( $equal(meet(X_31,top),meet(top,X_31)) )],[refute_0_1111,refute_0_1112]) ).
cnf(refute_0_1114,plain,
X_31 = join(meet(top,X_31),complement(join(complement(X_31),top))),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,top),complement(join(complement(X_31),top)))) )],[refute_0_1110,refute_0_1113]) ).
cnf(refute_0_1115,plain,
join(complement(X_31),top) = join(top,complement(X_31)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_31)))]]) ).
cnf(refute_0_1116,plain,
complement(join(complement(X_31),top)) = complement(join(complement(X_31),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_31),top)))]]) ).
cnf(refute_0_1117,plain,
( complement(join(complement(X_31),top)) != complement(join(complement(X_31),top))
| join(complement(X_31),top) != join(top,complement(X_31))
| complement(join(complement(X_31),top)) = complement(join(top,complement(X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_31),top)),complement(join(complement(X_31),top))) ),[1,0],$fot(join(top,complement(X_31)))]]) ).
cnf(refute_0_1118,plain,
( join(complement(X_31),top) != join(top,complement(X_31))
| complement(join(complement(X_31),top)) = complement(join(top,complement(X_31))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_31),top)),complement(join(complement(X_31),top))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
complement(join(complement(X_31),top)) = complement(join(top,complement(X_31))),
inference(resolve,[$cnf( $equal(join(complement(X_31),top),join(top,complement(X_31))) )],[refute_0_1115,refute_0_1118]) ).
cnf(refute_0_1120,plain,
join(meet(top,X_31),complement(join(complement(X_31),top))) = join(meet(top,X_31),complement(join(complement(X_31),top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_31),complement(join(complement(X_31),top))))]]) ).
cnf(refute_0_1121,plain,
( complement(join(complement(X_31),top)) != complement(join(top,complement(X_31)))
| join(meet(top,X_31),complement(join(complement(X_31),top))) != join(meet(top,X_31),complement(join(complement(X_31),top)))
| join(meet(top,X_31),complement(join(complement(X_31),top))) = join(meet(top,X_31),complement(join(top,complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_31),complement(join(complement(X_31),top))),join(meet(top,X_31),complement(join(complement(X_31),top)))) ),[1,1],$fot(complement(join(top,complement(X_31))))]]) ).
cnf(refute_0_1122,plain,
( complement(join(complement(X_31),top)) != complement(join(top,complement(X_31)))
| join(meet(top,X_31),complement(join(complement(X_31),top))) = join(meet(top,X_31),complement(join(top,complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_31),complement(join(complement(X_31),top))),join(meet(top,X_31),complement(join(complement(X_31),top)))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
join(meet(top,X_31),complement(join(complement(X_31),top))) = join(meet(top,X_31),complement(join(top,complement(X_31)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_31),top)),complement(join(top,complement(X_31)))) )],[refute_0_1119,refute_0_1122]) ).
cnf(refute_0_1124,plain,
( X_31 != join(meet(top,X_31),complement(join(complement(X_31),top)))
| join(meet(top,X_31),complement(join(complement(X_31),top))) != join(meet(top,X_31),complement(join(top,complement(X_31))))
| X_31 = join(meet(top,X_31),complement(join(top,complement(X_31)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_31,join(meet(top,X_31),complement(join(top,complement(X_31))))) ),[0],$fot(join(meet(top,X_31),complement(join(complement(X_31),top))))]]) ).
cnf(refute_0_1125,plain,
( X_31 != join(meet(top,X_31),complement(join(complement(X_31),top)))
| X_31 = join(meet(top,X_31),complement(join(top,complement(X_31)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_31),complement(join(complement(X_31),top))),join(meet(top,X_31),complement(join(top,complement(X_31))))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
X_31 = join(meet(top,X_31),complement(join(top,complement(X_31)))),
inference(resolve,[$cnf( $equal(X_31,join(meet(top,X_31),complement(join(complement(X_31),top)))) )],[refute_0_1114,refute_0_1125]) ).
cnf(refute_0_1127,plain,
complement(X_33) = join(meet(top,complement(X_33)),complement(join(top,complement(complement(X_33))))),
inference(subst,[],[refute_0_1126:[bind(X_31,$fot(complement(X_33)))]]) ).
cnf(refute_0_1128,plain,
( complement(X_33) != join(meet(top,complement(X_33)),complement(join(top,complement(complement(X_33)))))
| meet(top,complement(X_33)) != complement(X_33)
| complement(X_33) = join(complement(X_33),complement(join(top,complement(complement(X_33))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_33),join(meet(top,complement(X_33)),complement(join(top,complement(complement(X_33)))))) ),[1,0],$fot(complement(X_33))]]) ).
cnf(refute_0_1129,plain,
( complement(X_33) != join(meet(top,complement(X_33)),complement(join(top,complement(complement(X_33)))))
| complement(X_33) = join(complement(X_33),complement(join(top,complement(complement(X_33))))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_33)),complement(X_33)) )],[refute_0_222,refute_0_1128]) ).
cnf(refute_0_1130,plain,
complement(X_33) = join(complement(X_33),complement(join(top,complement(complement(X_33))))),
inference(resolve,[$cnf( $equal(complement(X_33),join(meet(top,complement(X_33)),complement(join(top,complement(complement(X_33)))))) )],[refute_0_1127,refute_0_1129]) ).
cnf(refute_0_1131,plain,
complement(complement(X_33)) = X_33,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_33))]]) ).
cnf(refute_0_1132,plain,
join(top,complement(complement(X_33))) = join(top,complement(complement(X_33))),
introduced(tautology,[refl,[$fot(join(top,complement(complement(X_33))))]]) ).
cnf(refute_0_1133,plain,
( complement(complement(X_33)) != X_33
| join(top,complement(complement(X_33))) != join(top,complement(complement(X_33)))
| join(top,complement(complement(X_33))) = join(top,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(complement(X_33))),join(top,complement(complement(X_33)))) ),[1,1],$fot(X_33)]]) ).
cnf(refute_0_1134,plain,
( complement(complement(X_33)) != X_33
| join(top,complement(complement(X_33))) = join(top,X_33) ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_33))),join(top,complement(complement(X_33)))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
join(top,complement(complement(X_33))) = join(top,X_33),
inference(resolve,[$cnf( $equal(complement(complement(X_33)),X_33) )],[refute_0_1131,refute_0_1134]) ).
cnf(refute_0_1136,plain,
meet(X_33,join(top,complement(complement(X_33)))) = meet(X_33,join(top,complement(complement(X_33)))),
introduced(tautology,[refl,[$fot(meet(X_33,join(top,complement(complement(X_33)))))]]) ).
cnf(refute_0_1137,plain,
( join(top,complement(complement(X_33))) != join(top,X_33)
| meet(X_33,join(top,complement(complement(X_33)))) != meet(X_33,join(top,complement(complement(X_33))))
| meet(X_33,join(top,complement(complement(X_33)))) = meet(X_33,join(top,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_33,join(top,complement(complement(X_33)))),meet(X_33,join(top,complement(complement(X_33))))) ),[1,1],$fot(join(top,X_33))]]) ).
cnf(refute_0_1138,plain,
( join(top,complement(complement(X_33))) != join(top,X_33)
| meet(X_33,join(top,complement(complement(X_33)))) = meet(X_33,join(top,X_33)) ),
inference(resolve,[$cnf( $equal(meet(X_33,join(top,complement(complement(X_33)))),meet(X_33,join(top,complement(complement(X_33))))) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
meet(X_33,join(top,complement(complement(X_33)))) = meet(X_33,join(top,X_33)),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_33))),join(top,X_33)) )],[refute_0_1135,refute_0_1138]) ).
cnf(refute_0_1140,plain,
complement(meet(X_33,join(top,complement(complement(X_33))))) = complement(meet(X_33,join(top,complement(complement(X_33))))),
introduced(tautology,[refl,[$fot(complement(meet(X_33,join(top,complement(complement(X_33))))))]]) ).
cnf(refute_0_1141,plain,
( complement(meet(X_33,join(top,complement(complement(X_33))))) != complement(meet(X_33,join(top,complement(complement(X_33)))))
| meet(X_33,join(top,complement(complement(X_33)))) != meet(X_33,join(top,X_33))
| complement(meet(X_33,join(top,complement(complement(X_33))))) = complement(meet(X_33,join(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_33,join(top,complement(complement(X_33))))),complement(meet(X_33,join(top,complement(complement(X_33)))))) ),[1,0],$fot(meet(X_33,join(top,X_33)))]]) ).
cnf(refute_0_1142,plain,
( meet(X_33,join(top,complement(complement(X_33)))) != meet(X_33,join(top,X_33))
| complement(meet(X_33,join(top,complement(complement(X_33))))) = complement(meet(X_33,join(top,X_33))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_33,join(top,complement(complement(X_33))))),complement(meet(X_33,join(top,complement(complement(X_33)))))) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
complement(meet(X_33,join(top,complement(complement(X_33))))) = complement(meet(X_33,join(top,X_33))),
inference(resolve,[$cnf( $equal(meet(X_33,join(top,complement(complement(X_33)))),meet(X_33,join(top,X_33))) )],[refute_0_1139,refute_0_1142]) ).
cnf(refute_0_1144,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_32),complement(join(complement(join(complement(X0),complement(X1))),X_32))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(join(complement(X0),complement(X1)))),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_1145,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_32),complement(join(complement(join(complement(X0),complement(X1))),X_32)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_32),complement(join(complement(join(complement(X0),complement(X1))),X_32)))) ),[1,1,0,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_1146,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_32),complement(join(complement(join(complement(X0),complement(X1))),X_32)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_137,refute_0_1145]) ).
cnf(refute_0_1147,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_32),complement(join(complement(join(complement(X0),complement(X1))),X_32)))) )],[refute_0_1144,refute_0_1146]) ).
cnf(refute_0_1148,plain,
meet(join(complement(X0),complement(X1)),X_32) = complement(join(meet(X0,X1),complement(X_32))),
inference(subst,[],[refute_0_25:[bind(X1,$fot(X_32)),bind(X_24,$fot(X0)),bind(X_25,$fot(X1))]]) ).
cnf(refute_0_1149,plain,
join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)) = join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)))]]) ).
cnf(refute_0_1150,plain,
( join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)) != join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32))
| meet(join(complement(X0),complement(X1)),X_32) != complement(join(meet(X0,X1),complement(X_32)))
| join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)),join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(X_32))))]]) ).
cnf(refute_0_1151,plain,
( meet(join(complement(X0),complement(X1)),X_32) != complement(join(meet(X0,X1),complement(X_32)))
| join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)),join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32))) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),complement(X_32)))) )],[refute_0_1148,refute_0_1151]) ).
cnf(refute_0_1153,plain,
join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))) = join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(join(meet(X0,X1),X_32)))),bind(X1,$fot(meet(join(complement(X0),complement(X1)),X_32)))]]) ).
cnf(refute_0_1154,plain,
( join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)) != join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))
| join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))) != join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32))
| join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))))),bind(Y,$fot(join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)))),bind(Z,$fot(join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))))]]) ).
cnf(refute_0_1155,plain,
( join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)) != join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))
| join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))),join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32))) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_32)),meet(join(complement(X0),complement(X1)),X_32)),join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))) )],[refute_0_1152,refute_0_1155]) ).
cnf(refute_0_1157,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32)))
| join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))) != join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))) ),[0],$fot(join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))))]]) ).
cnf(refute_0_1158,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32)))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32))),join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_32),complement(join(meet(X0,X1),X_32)))) )],[refute_0_1147,refute_0_1158]) ).
cnf(refute_0_1160,plain,
meet(join(zero,complement(X_27)),X1) = complement(join(complement(join(zero,complement(X_27))),complement(X1))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(join(zero,complement(X_27))))]]) ).
cnf(refute_0_1161,plain,
( complement(join(zero,complement(X_27))) != meet(top,X_27)
| meet(join(zero,complement(X_27)),X1) != complement(join(complement(join(zero,complement(X_27))),complement(X1)))
| meet(join(zero,complement(X_27)),X1) = complement(join(meet(top,X_27),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_27)),X1),complement(join(complement(join(zero,complement(X_27))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_27))]]) ).
cnf(refute_0_1162,plain,
( meet(join(zero,complement(X_27)),X1) != complement(join(complement(join(zero,complement(X_27))),complement(X1)))
| meet(join(zero,complement(X_27)),X1) = complement(join(meet(top,X_27),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_27))),meet(top,X_27)) )],[refute_0_42,refute_0_1161]) ).
cnf(refute_0_1163,plain,
meet(join(zero,complement(X_27)),X1) = complement(join(meet(top,X_27),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_27)),X1),complement(join(complement(join(zero,complement(X_27))),complement(X1)))) )],[refute_0_1160,refute_0_1162]) ).
cnf(refute_0_1164,plain,
meet(join(zero,complement(X_27)),X1) = meet(join(zero,complement(X_27)),X1),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_27)),X1))]]) ).
cnf(refute_0_1165,plain,
( join(zero,complement(X_27)) != complement(X_27)
| meet(join(zero,complement(X_27)),X1) != meet(join(zero,complement(X_27)),X1)
| meet(join(zero,complement(X_27)),X1) = meet(complement(X_27),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_27)),X1),meet(join(zero,complement(X_27)),X1)) ),[1,0],$fot(complement(X_27))]]) ).
cnf(refute_0_1166,plain,
( join(zero,complement(X_27)) != complement(X_27)
| meet(join(zero,complement(X_27)),X1) = meet(complement(X_27),X1) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_27)),X1),meet(join(zero,complement(X_27)),X1)) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
meet(join(zero,complement(X_27)),X1) = meet(complement(X_27),X1),
inference(resolve,[$cnf( $equal(join(zero,complement(X_27)),complement(X_27)) )],[refute_0_179,refute_0_1166]) ).
cnf(refute_0_1168,plain,
( meet(join(zero,complement(X_27)),X1) != complement(join(meet(top,X_27),complement(X1)))
| meet(join(zero,complement(X_27)),X1) != meet(complement(X_27),X1)
| meet(complement(X_27),X1) = complement(join(meet(top,X_27),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_27)),X1),complement(join(meet(top,X_27),complement(X1)))) ),[0],$fot(meet(complement(X_27),X1))]]) ).
cnf(refute_0_1169,plain,
( meet(join(zero,complement(X_27)),X1) != complement(join(meet(top,X_27),complement(X1)))
| meet(complement(X_27),X1) = complement(join(meet(top,X_27),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_27)),X1),meet(complement(X_27),X1)) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
join(meet(top,X_27),complement(X1)) = join(meet(top,X_27),complement(X1)),
introduced(tautology,[refl,[$fot(join(meet(top,X_27),complement(X1)))]]) ).
cnf(refute_0_1171,plain,
( join(meet(top,X_27),complement(X1)) != join(meet(top,X_27),complement(X1))
| meet(top,X_27) != X_27
| join(meet(top,X_27),complement(X1)) = join(X_27,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_27),complement(X1)),join(meet(top,X_27),complement(X1))) ),[1,0],$fot(X_27)]]) ).
cnf(refute_0_1172,plain,
( meet(top,X_27) != X_27
| join(meet(top,X_27),complement(X1)) = join(X_27,complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_27),complement(X1)),join(meet(top,X_27),complement(X1))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
join(meet(top,X_27),complement(X1)) = join(X_27,complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X_27),X_27) )],[refute_0_316,refute_0_1172]) ).
cnf(refute_0_1174,plain,
complement(join(meet(top,X_27),complement(X1))) = complement(join(meet(top,X_27),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_27),complement(X1))))]]) ).
cnf(refute_0_1175,plain,
( complement(join(meet(top,X_27),complement(X1))) != complement(join(meet(top,X_27),complement(X1)))
| join(meet(top,X_27),complement(X1)) != join(X_27,complement(X1))
| complement(join(meet(top,X_27),complement(X1))) = complement(join(X_27,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_27),complement(X1))),complement(join(meet(top,X_27),complement(X1)))) ),[1,0],$fot(join(X_27,complement(X1)))]]) ).
cnf(refute_0_1176,plain,
( join(meet(top,X_27),complement(X1)) != join(X_27,complement(X1))
| complement(join(meet(top,X_27),complement(X1))) = complement(join(X_27,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_27),complement(X1))),complement(join(meet(top,X_27),complement(X1)))) )],[refute_0_1174,refute_0_1175]) ).
cnf(refute_0_1177,plain,
complement(join(meet(top,X_27),complement(X1))) = complement(join(X_27,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(top,X_27),complement(X1)),join(X_27,complement(X1))) )],[refute_0_1173,refute_0_1176]) ).
cnf(refute_0_1178,plain,
( complement(join(meet(top,X_27),complement(X1))) != complement(join(X_27,complement(X1)))
| meet(complement(X_27),X1) != complement(join(meet(top,X_27),complement(X1)))
| meet(complement(X_27),X1) = complement(join(X_27,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_27),X1),complement(join(meet(top,X_27),complement(X1)))) ),[1],$fot(complement(join(X_27,complement(X1))))]]) ).
cnf(refute_0_1179,plain,
( meet(complement(X_27),X1) != complement(join(meet(top,X_27),complement(X1)))
| meet(complement(X_27),X1) = complement(join(X_27,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_27),complement(X1))),complement(join(X_27,complement(X1)))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( meet(join(zero,complement(X_27)),X1) != complement(join(meet(top,X_27),complement(X1)))
| meet(complement(X_27),X1) = complement(join(X_27,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_27),X1),complement(join(meet(top,X_27),complement(X1)))) )],[refute_0_1169,refute_0_1179]) ).
cnf(refute_0_1181,plain,
meet(complement(X_27),X1) = complement(join(X_27,complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_27)),X1),complement(join(meet(top,X_27),complement(X1)))) )],[refute_0_1163,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( meet(complement(X_27),X1) != complement(join(X_27,complement(X1)))
| complement(join(X_27,complement(X1))) = meet(complement(X_27),X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(X_27),X1))),bind(Y,$fot(complement(join(X_27,complement(X1)))))]]) ).
cnf(refute_0_1183,plain,
complement(join(X_27,complement(X1))) = meet(complement(X_27),X1),
inference(resolve,[$cnf( $equal(meet(complement(X_27),X1),complement(join(X_27,complement(X1)))) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
complement(join(meet(X0,X1),complement(X_32))) = meet(complement(meet(X0,X1)),X_32),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(X_32)),bind(X_27,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1185,plain,
join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) = join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))))]]) ).
cnf(refute_0_1186,plain,
( complement(join(meet(X0,X1),complement(X_32))) != meet(complement(meet(X0,X1)),X_32)
| join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) != join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))
| join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) = join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))),join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))) ),[1,1],$fot(meet(complement(meet(X0,X1)),X_32))]]) ).
cnf(refute_0_1187,plain,
( complement(join(meet(X0,X1),complement(X_32))) != meet(complement(meet(X0,X1)),X_32)
| join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) = join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))),join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) = join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(X_32))),meet(complement(meet(X0,X1)),X_32)) )],[refute_0_1184,refute_0_1187]) ).
cnf(refute_0_1189,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))
| join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))) != join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32))) ),[0],$fot(join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))))]]) ).
cnf(refute_0_1190,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32)))),join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32))) )],[refute_0_1188,refute_0_1189]) ).
cnf(refute_0_1191,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_32)),complement(join(meet(X0,X1),complement(X_32))))) )],[refute_0_1159,refute_0_1190]) ).
cnf(refute_0_1192,plain,
( complement(X1) != join(complement(join(X1,X_32)),meet(complement(X1),X_32))
| join(complement(join(X1,X_32)),meet(complement(X1),X_32)) = complement(X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X1))),bind(Y,$fot(join(complement(join(X1,X_32)),meet(complement(X1),X_32))))]]) ).
cnf(refute_0_1193,plain,
join(complement(join(X1,X_32)),meet(complement(X1),X_32)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,X_32)),meet(complement(X1),X_32))) )],[refute_0_407,refute_0_1192]) ).
cnf(refute_0_1194,plain,
join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_1193:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1195,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32))
| join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)) != 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_32)),meet(complement(meet(X0,X1)),X_32)))]]) ).
cnf(refute_0_1196,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32)),complement(meet(X0,X1))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_32)),meet(complement(meet(X0,X1)),X_32))) )],[refute_0_1191,refute_0_1196]) ).
cnf(refute_0_1198,plain,
join(complement(X_33),complement(join(top,complement(complement(X_33))))) = complement(meet(X_33,join(top,complement(complement(X_33))))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(X_33)),bind(X1,$fot(join(top,complement(complement(X_33)))))]]) ).
cnf(refute_0_1199,plain,
( complement(meet(X_33,join(top,complement(complement(X_33))))) != complement(meet(X_33,join(top,X_33)))
| join(complement(X_33),complement(join(top,complement(complement(X_33))))) != complement(meet(X_33,join(top,complement(complement(X_33)))))
| join(complement(X_33),complement(join(top,complement(complement(X_33))))) = complement(meet(X_33,join(top,X_33))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_33),complement(join(top,complement(complement(X_33))))))),bind(Y,$fot(complement(meet(X_33,join(top,complement(complement(X_33))))))),bind(Z,$fot(complement(meet(X_33,join(top,X_33)))))]]) ).
cnf(refute_0_1200,plain,
( complement(meet(X_33,join(top,complement(complement(X_33))))) != complement(meet(X_33,join(top,X_33)))
| join(complement(X_33),complement(join(top,complement(complement(X_33))))) = complement(meet(X_33,join(top,X_33))) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),complement(join(top,complement(complement(X_33))))),complement(meet(X_33,join(top,complement(complement(X_33)))))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
join(complement(X_33),complement(join(top,complement(complement(X_33))))) = complement(meet(X_33,join(top,X_33))),
inference(resolve,[$cnf( $equal(complement(meet(X_33,join(top,complement(complement(X_33))))),complement(meet(X_33,join(top,X_33)))) )],[refute_0_1143,refute_0_1200]) ).
cnf(refute_0_1202,plain,
( complement(X_33) != join(complement(X_33),complement(join(top,complement(complement(X_33)))))
| join(complement(X_33),complement(join(top,complement(complement(X_33))))) != complement(meet(X_33,join(top,X_33)))
| complement(X_33) = complement(meet(X_33,join(top,X_33))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_33),complement(meet(X_33,join(top,X_33)))) ),[0],$fot(join(complement(X_33),complement(join(top,complement(complement(X_33))))))]]) ).
cnf(refute_0_1203,plain,
( complement(X_33) != join(complement(X_33),complement(join(top,complement(complement(X_33)))))
| complement(X_33) = complement(meet(X_33,join(top,X_33))) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),complement(join(top,complement(complement(X_33))))),complement(meet(X_33,join(top,X_33)))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
complement(X_33) = complement(meet(X_33,join(top,X_33))),
inference(resolve,[$cnf( $equal(complement(X_33),join(complement(X_33),complement(join(top,complement(complement(X_33)))))) )],[refute_0_1130,refute_0_1203]) ).
cnf(refute_0_1205,plain,
complement(X_85) = complement(meet(X_85,join(top,X_85))),
inference(subst,[],[refute_0_1204:[bind(X_33,$fot(X_85))]]) ).
cnf(refute_0_1206,plain,
join(X_85,top) = join(top,X_85),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_85)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1207,plain,
( join(X_85,top) != join(top,X_85)
| join(top,X_85) = join(X_85,top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_85,top))),bind(Y,$fot(join(top,X_85)))]]) ).
cnf(refute_0_1208,plain,
join(top,X_85) = join(X_85,top),
inference(resolve,[$cnf( $equal(join(X_85,top),join(top,X_85)) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
( complement(X_85) != complement(meet(X_85,join(top,X_85)))
| join(top,X_85) != join(X_85,top)
| complement(X_85) = complement(meet(X_85,join(X_85,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_85),complement(meet(X_85,join(top,X_85)))) ),[1,0,1],$fot(join(X_85,top))]]) ).
cnf(refute_0_1210,plain,
( complement(X_85) != complement(meet(X_85,join(top,X_85)))
| complement(X_85) = complement(meet(X_85,join(X_85,top))) ),
inference(resolve,[$cnf( $equal(join(top,X_85),join(X_85,top)) )],[refute_0_1208,refute_0_1209]) ).
cnf(refute_0_1211,plain,
complement(X_85) = complement(meet(X_85,join(X_85,top))),
inference(resolve,[$cnf( $equal(complement(X_85),complement(meet(X_85,join(top,X_85)))) )],[refute_0_1205,refute_0_1210]) ).
cnf(refute_0_1212,plain,
( complement(X_85) != complement(meet(X_85,join(X_85,top)))
| complement(meet(X_85,join(X_85,top))) = complement(X_85) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(X_85))),bind(Y,$fot(complement(meet(X_85,join(X_85,top)))))]]) ).
cnf(refute_0_1213,plain,
complement(meet(X_85,join(X_85,top))) = complement(X_85),
inference(resolve,[$cnf( $equal(complement(X_85),complement(meet(X_85,join(X_85,top)))) )],[refute_0_1211,refute_0_1212]) ).
cnf(refute_0_1214,plain,
( complement(meet(X_85,join(X_85,top))) != complement(X_85)
| meet(X_85,join(X_85,top)) != complement(complement(meet(X_85,join(X_85,top))))
| meet(X_85,join(X_85,top)) = complement(complement(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_85,join(X_85,top)),complement(complement(meet(X_85,join(X_85,top))))) ),[1,0],$fot(complement(X_85))]]) ).
cnf(refute_0_1215,plain,
( meet(X_85,join(X_85,top)) != complement(complement(meet(X_85,join(X_85,top))))
| meet(X_85,join(X_85,top)) = complement(complement(X_85)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_85,join(X_85,top))),complement(X_85)) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
meet(X_85,join(X_85,top)) = complement(complement(X_85)),
inference(resolve,[$cnf( $equal(meet(X_85,join(X_85,top)),complement(complement(meet(X_85,join(X_85,top))))) )],[refute_0_1109,refute_0_1215]) ).
cnf(refute_0_1217,plain,
complement(complement(X_85)) = X_85,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_85))]]) ).
cnf(refute_0_1218,plain,
( complement(complement(X_85)) != X_85
| meet(X_85,join(X_85,top)) != complement(complement(X_85))
| meet(X_85,join(X_85,top)) = X_85 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_85,join(X_85,top)),complement(complement(X_85))) ),[1],$fot(X_85)]]) ).
cnf(refute_0_1219,plain,
( meet(X_85,join(X_85,top)) != complement(complement(X_85))
| meet(X_85,join(X_85,top)) = X_85 ),
inference(resolve,[$cnf( $equal(complement(complement(X_85)),X_85) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
meet(X_85,join(X_85,top)) = X_85,
inference(resolve,[$cnf( $equal(meet(X_85,join(X_85,top)),complement(complement(X_85))) )],[refute_0_1216,refute_0_1219]) ).
cnf(refute_0_1221,plain,
meet(complement(X_97),join(complement(X_97),top)) = complement(X_97),
inference(subst,[],[refute_0_1220:[bind(X_85,$fot(complement(X_97)))]]) ).
cnf(refute_0_1222,plain,
( join(complement(X_97),top) != join(meet(join(complement(X_97),top),X_97),meet(complement(X_97),join(complement(X_97),top)))
| meet(complement(X_97),join(complement(X_97),top)) != complement(X_97)
| join(complement(X_97),top) = join(meet(join(complement(X_97),top),X_97),complement(X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_97),top),join(meet(join(complement(X_97),top),X_97),meet(complement(X_97),join(complement(X_97),top)))) ),[1,1],$fot(complement(X_97))]]) ).
cnf(refute_0_1223,plain,
( join(complement(X_97),top) != join(meet(join(complement(X_97),top),X_97),meet(complement(X_97),join(complement(X_97),top)))
| join(complement(X_97),top) = join(meet(join(complement(X_97),top),X_97),complement(X_97)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_97),join(complement(X_97),top)),complement(X_97)) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
join(complement(X_97),top) = join(meet(join(complement(X_97),top),X_97),complement(X_97)),
inference(resolve,[$cnf( $equal(join(complement(X_97),top),join(meet(join(complement(X_97),top),X_97),meet(complement(X_97),join(complement(X_97),top)))) )],[refute_0_1108,refute_0_1223]) ).
cnf(refute_0_1225,plain,
join(complement(X_97),top) = join(top,complement(X_97)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_97)))]]) ).
cnf(refute_0_1226,plain,
( join(complement(X_97),top) != join(meet(join(complement(X_97),top),X_97),complement(X_97))
| join(complement(X_97),top) != join(top,complement(X_97))
| join(top,complement(X_97)) = join(meet(join(complement(X_97),top),X_97),complement(X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_97),top),join(meet(join(complement(X_97),top),X_97),complement(X_97))) ),[0],$fot(join(top,complement(X_97)))]]) ).
cnf(refute_0_1227,plain,
( join(complement(X_97),top) != join(meet(join(complement(X_97),top),X_97),complement(X_97))
| join(top,complement(X_97)) = join(meet(join(complement(X_97),top),X_97),complement(X_97)) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),top),join(top,complement(X_97))) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
meet(X_97,join(complement(X_97),top)) = meet(X_97,join(complement(X_97),top)),
introduced(tautology,[refl,[$fot(meet(X_97,join(complement(X_97),top)))]]) ).
cnf(refute_0_1229,plain,
( join(complement(X_97),top) != join(top,complement(X_97))
| meet(X_97,join(complement(X_97),top)) != meet(X_97,join(complement(X_97),top))
| meet(X_97,join(complement(X_97),top)) = meet(X_97,join(top,complement(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_97,join(complement(X_97),top)),meet(X_97,join(complement(X_97),top))) ),[1,1],$fot(join(top,complement(X_97)))]]) ).
cnf(refute_0_1230,plain,
( join(complement(X_97),top) != join(top,complement(X_97))
| meet(X_97,join(complement(X_97),top)) = meet(X_97,join(top,complement(X_97))) ),
inference(resolve,[$cnf( $equal(meet(X_97,join(complement(X_97),top)),meet(X_97,join(complement(X_97),top))) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
meet(X_97,join(complement(X_97),top)) = meet(X_97,join(top,complement(X_97))),
inference(resolve,[$cnf( $equal(join(complement(X_97),top),join(top,complement(X_97))) )],[refute_0_1225,refute_0_1230]) ).
cnf(refute_0_1232,plain,
meet(join(complement(X_97),top),X_97) = meet(X_97,join(complement(X_97),top)),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(X_97)),bind(X_25,$fot(join(complement(X_97),top)))]]) ).
cnf(refute_0_1233,plain,
( meet(X_97,join(complement(X_97),top)) != meet(X_97,join(top,complement(X_97)))
| meet(join(complement(X_97),top),X_97) != meet(X_97,join(complement(X_97),top))
| meet(join(complement(X_97),top),X_97) = meet(X_97,join(top,complement(X_97))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(X_97),top),X_97))),bind(Y,$fot(meet(X_97,join(complement(X_97),top)))),bind(Z,$fot(meet(X_97,join(top,complement(X_97)))))]]) ).
cnf(refute_0_1234,plain,
( meet(X_97,join(complement(X_97),top)) != meet(X_97,join(top,complement(X_97)))
| meet(join(complement(X_97),top),X_97) = meet(X_97,join(top,complement(X_97))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_97),top),X_97),meet(X_97,join(complement(X_97),top))) )],[refute_0_1232,refute_0_1233]) ).
cnf(refute_0_1235,plain,
meet(join(complement(X_97),top),X_97) = meet(X_97,join(top,complement(X_97))),
inference(resolve,[$cnf( $equal(meet(X_97,join(complement(X_97),top)),meet(X_97,join(top,complement(X_97)))) )],[refute_0_1231,refute_0_1234]) ).
cnf(refute_0_1236,plain,
join(complement(X_97),meet(join(complement(X_97),top),X_97)) = join(complement(X_97),meet(join(complement(X_97),top),X_97)),
introduced(tautology,[refl,[$fot(join(complement(X_97),meet(join(complement(X_97),top),X_97)))]]) ).
cnf(refute_0_1237,plain,
( join(complement(X_97),meet(join(complement(X_97),top),X_97)) != join(complement(X_97),meet(join(complement(X_97),top),X_97))
| meet(join(complement(X_97),top),X_97) != meet(X_97,join(top,complement(X_97)))
| join(complement(X_97),meet(join(complement(X_97),top),X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_97),meet(join(complement(X_97),top),X_97)),join(complement(X_97),meet(join(complement(X_97),top),X_97))) ),[1,1],$fot(meet(X_97,join(top,complement(X_97))))]]) ).
cnf(refute_0_1238,plain,
( meet(join(complement(X_97),top),X_97) != meet(X_97,join(top,complement(X_97)))
| join(complement(X_97),meet(join(complement(X_97),top),X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_97),meet(join(complement(X_97),top),X_97)),join(complement(X_97),meet(join(complement(X_97),top),X_97))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
join(complement(X_97),meet(join(complement(X_97),top),X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_97),top),X_97),meet(X_97,join(top,complement(X_97)))) )],[refute_0_1235,refute_0_1238]) ).
cnf(refute_0_1240,plain,
join(meet(join(complement(X_97),top),X_97),complement(X_97)) = join(complement(X_97),meet(join(complement(X_97),top),X_97)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(X_97))),bind(X1,$fot(meet(join(complement(X_97),top),X_97)))]]) ).
cnf(refute_0_1241,plain,
( join(complement(X_97),meet(join(complement(X_97),top),X_97)) != join(complement(X_97),meet(X_97,join(top,complement(X_97))))
| join(meet(join(complement(X_97),top),X_97),complement(X_97)) != join(complement(X_97),meet(join(complement(X_97),top),X_97))
| join(meet(join(complement(X_97),top),X_97),complement(X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(complement(X_97),top),X_97),complement(X_97)))),bind(Y,$fot(join(complement(X_97),meet(join(complement(X_97),top),X_97)))),bind(Z,$fot(join(complement(X_97),meet(X_97,join(top,complement(X_97))))))]]) ).
cnf(refute_0_1242,plain,
( join(complement(X_97),meet(join(complement(X_97),top),X_97)) != join(complement(X_97),meet(X_97,join(top,complement(X_97))))
| join(meet(join(complement(X_97),top),X_97),complement(X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_97),top),X_97),complement(X_97)),join(complement(X_97),meet(join(complement(X_97),top),X_97))) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
join(meet(join(complement(X_97),top),X_97),complement(X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))),
inference(resolve,[$cnf( $equal(join(complement(X_97),meet(join(complement(X_97),top),X_97)),join(complement(X_97),meet(X_97,join(top,complement(X_97))))) )],[refute_0_1239,refute_0_1242]) ).
cnf(refute_0_1244,plain,
( join(meet(join(complement(X_97),top),X_97),complement(X_97)) != join(complement(X_97),meet(X_97,join(top,complement(X_97))))
| join(top,complement(X_97)) != join(meet(join(complement(X_97),top),X_97),complement(X_97))
| join(top,complement(X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(X_97)),join(meet(join(complement(X_97),top),X_97),complement(X_97))) ),[1],$fot(join(complement(X_97),meet(X_97,join(top,complement(X_97)))))]]) ).
cnf(refute_0_1245,plain,
( join(top,complement(X_97)) != join(meet(join(complement(X_97),top),X_97),complement(X_97))
| join(top,complement(X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_97),top),X_97),complement(X_97)),join(complement(X_97),meet(X_97,join(top,complement(X_97))))) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
( join(complement(X_97),top) != join(meet(join(complement(X_97),top),X_97),complement(X_97))
| join(top,complement(X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))) ),
inference(resolve,[$cnf( $equal(join(top,complement(X_97)),join(meet(join(complement(X_97),top),X_97),complement(X_97))) )],[refute_0_1227,refute_0_1245]) ).
cnf(refute_0_1247,plain,
join(top,complement(X_97)) = join(complement(X_97),meet(X_97,join(top,complement(X_97)))),
inference(resolve,[$cnf( $equal(join(complement(X_97),top),join(meet(join(complement(X_97),top),X_97),complement(X_97))) )],[refute_0_1224,refute_0_1246]) ).
cnf(refute_0_1248,plain,
join(top,complement(X_107)) = join(complement(X_107),meet(X_107,join(top,complement(X_107)))),
inference(subst,[],[refute_0_1247:[bind(X_97,$fot(X_107))]]) ).
cnf(refute_0_1249,plain,
( join(top,complement(X_107)) != join(complement(X_107),meet(X_107,join(top,complement(X_107))))
| join(complement(X_107),meet(X_107,join(top,complement(X_107)))) = join(top,complement(X_107)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(top,complement(X_107)))),bind(Y,$fot(join(complement(X_107),meet(X_107,join(top,complement(X_107))))))]]) ).
cnf(refute_0_1250,plain,
join(complement(X_107),meet(X_107,join(top,complement(X_107)))) = join(top,complement(X_107)),
inference(resolve,[$cnf( $equal(join(top,complement(X_107)),join(complement(X_107),meet(X_107,join(top,complement(X_107))))) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
( join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(join(complement(X_107),meet(X_107,join(top,complement(X_107)))),X2)
| join(complement(X_107),meet(X_107,join(top,complement(X_107)))) != join(top,complement(X_107))
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(join(top,complement(X_107)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(join(complement(X_107),meet(X_107,join(top,complement(X_107)))),X2)) ),[1,0],$fot(join(top,complement(X_107)))]]) ).
cnf(refute_0_1252,plain,
( join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(join(complement(X_107),meet(X_107,join(top,complement(X_107)))),X2)
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(join(top,complement(X_107)),X2) ),
inference(resolve,[$cnf( $equal(join(complement(X_107),meet(X_107,join(top,complement(X_107)))),join(top,complement(X_107))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(join(top,complement(X_107)),X2),
inference(resolve,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(join(complement(X_107),meet(X_107,join(top,complement(X_107)))),X2)) )],[refute_0_1100,refute_0_1252]) ).
cnf(refute_0_1254,plain,
join(join(top,complement(X_107)),X2) = join(top,join(complement(X_107),X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_107)))]]) ).
cnf(refute_0_1255,plain,
( join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(join(top,complement(X_107)),X2)
| join(join(top,complement(X_107)),X2) != join(top,join(complement(X_107),X2))
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(top,join(complement(X_107),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(top,join(complement(X_107),X2))) ),[0],$fot(join(join(top,complement(X_107)),X2))]]) ).
cnf(refute_0_1256,plain,
( join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(join(top,complement(X_107)),X2)
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(top,join(complement(X_107),X2)) ),
inference(resolve,[$cnf( $equal(join(join(top,complement(X_107)),X2),join(top,join(complement(X_107),X2))) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(top,join(complement(X_107),X2)),
inference(resolve,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(join(top,complement(X_107)),X2)) )],[refute_0_1253,refute_0_1256]) ).
cnf(refute_0_1258,plain,
join(X_63,join(complement(X_63),X_65)) = join(join(X_63,complement(X_63)),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_63)),bind(X1,$fot(complement(X_63))),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_1259,plain,
top = join(X_63,complement(X_63)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_63))]]) ).
cnf(refute_0_1260,plain,
( top != join(X_63,complement(X_63))
| join(X_63,complement(X_63)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_63,complement(X_63))))]]) ).
cnf(refute_0_1261,plain,
join(X_63,complement(X_63)) = top,
inference(resolve,[$cnf( $equal(top,join(X_63,complement(X_63))) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
( join(X_63,complement(X_63)) != top
| join(X_63,join(complement(X_63),X_65)) != join(join(X_63,complement(X_63)),X_65)
| join(X_63,join(complement(X_63),X_65)) = join(top,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_63,join(complement(X_63),X_65)),join(join(X_63,complement(X_63)),X_65)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1263,plain,
( join(X_63,join(complement(X_63),X_65)) != join(join(X_63,complement(X_63)),X_65)
| join(X_63,join(complement(X_63),X_65)) = join(top,X_65) ),
inference(resolve,[$cnf( $equal(join(X_63,complement(X_63)),top) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
join(X_63,join(complement(X_63),X_65)) = join(top,X_65),
inference(resolve,[$cnf( $equal(join(X_63,join(complement(X_63),X_65)),join(join(X_63,complement(X_63)),X_65)) )],[refute_0_1258,refute_0_1263]) ).
cnf(refute_0_1265,plain,
join(X_107,join(complement(X_107),X2)) = join(top,X2),
inference(subst,[],[refute_0_1264:[bind(X_63,$fot(X_107)),bind(X_65,$fot(X2))]]) ).
cnf(refute_0_1266,plain,
join(X_64,X_63) = join(X_63,X_64),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_64)),bind(X1,$fot(X_63))]]) ).
cnf(refute_0_1267,plain,
( join(X_64,X_63) != join(X_63,X_64)
| join(X_63,X_64) = join(X_64,X_63) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_64,X_63))),bind(Y,$fot(join(X_63,X_64)))]]) ).
cnf(refute_0_1268,plain,
join(X_63,X_64) = join(X_64,X_63),
inference(resolve,[$cnf( $equal(join(X_64,X_63),join(X_63,X_64)) )],[refute_0_1266,refute_0_1267]) ).
cnf(refute_0_1269,plain,
( join(X_63,X_64) != join(X_64,X_63)
| join(X_63,join(X_64,X_65)) != join(join(X_63,X_64),X_65)
| join(X_63,join(X_64,X_65)) = join(join(X_64,X_63),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_63,join(X_64,X_65)),join(join(X_63,X_64),X_65)) ),[1,0],$fot(join(X_64,X_63))]]) ).
cnf(refute_0_1270,plain,
( join(X_63,join(X_64,X_65)) != join(join(X_63,X_64),X_65)
| join(X_63,join(X_64,X_65)) = join(join(X_64,X_63),X_65) ),
inference(resolve,[$cnf( $equal(join(X_63,X_64),join(X_64,X_63)) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
join(X_63,join(X_64,X_65)) = join(join(X_64,X_63),X_65),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,X_65)),join(join(X_63,X_64),X_65)) )],[refute_0_1083,refute_0_1270]) ).
cnf(refute_0_1272,plain,
join(join(X_64,X_63),X_65) = join(X_64,join(X_63,X_65)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_64)),bind(X1,$fot(X_63)),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_1273,plain,
( join(X_63,join(X_64,X_65)) != join(join(X_64,X_63),X_65)
| join(join(X_64,X_63),X_65) != join(X_64,join(X_63,X_65))
| join(X_63,join(X_64,X_65)) = join(X_64,join(X_63,X_65)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_63,join(X_64,X_65)),join(X_64,join(X_63,X_65))) ),[0],$fot(join(join(X_64,X_63),X_65))]]) ).
cnf(refute_0_1274,plain,
( join(X_63,join(X_64,X_65)) != join(join(X_64,X_63),X_65)
| join(X_63,join(X_64,X_65)) = join(X_64,join(X_63,X_65)) ),
inference(resolve,[$cnf( $equal(join(join(X_64,X_63),X_65),join(X_64,join(X_63,X_65))) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
join(X_63,join(X_64,X_65)) = join(X_64,join(X_63,X_65)),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,X_65)),join(join(X_64,X_63),X_65)) )],[refute_0_1271,refute_0_1274]) ).
cnf(refute_0_1276,plain,
( join(X_63,join(X_64,X_65)) != join(X_64,join(X_63,X_65))
| join(X_64,join(X_63,X_65)) = join(X_63,join(X_64,X_65)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_63,join(X_64,X_65)))),bind(Y,$fot(join(X_64,join(X_63,X_65))))]]) ).
cnf(refute_0_1277,plain,
join(X_64,join(X_63,X_65)) = join(X_63,join(X_64,X_65)),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,X_65)),join(X_64,join(X_63,X_65))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
join(complement(X_107),join(X_107,X2)) = join(X_107,join(complement(X_107),X2)),
inference(subst,[],[refute_0_1277:[bind(X_63,$fot(X_107)),bind(X_64,$fot(complement(X_107))),bind(X_65,$fot(X2))]]) ).
cnf(refute_0_1279,plain,
( join(X_107,join(complement(X_107),X2)) != join(top,X2)
| join(complement(X_107),join(X_107,X2)) != join(X_107,join(complement(X_107),X2))
| join(complement(X_107),join(X_107,X2)) = join(top,X2) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_107),join(X_107,X2)))),bind(Y,$fot(join(X_107,join(complement(X_107),X2)))),bind(Z,$fot(join(top,X2)))]]) ).
cnf(refute_0_1280,plain,
( join(X_107,join(complement(X_107),X2)) != join(top,X2)
| join(complement(X_107),join(X_107,X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(complement(X_107),join(X_107,X2)),join(X_107,join(complement(X_107),X2))) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
join(complement(X_107),join(X_107,X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(X_107,join(complement(X_107),X2)),join(top,X2)) )],[refute_0_1265,refute_0_1280]) ).
cnf(refute_0_1282,plain,
meet(X_107,top) = X_107,
inference(subst,[],[refute_0_521:[bind(X0,$fot(X_107))]]) ).
cnf(refute_0_1283,plain,
top = join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),join(complement(X_138),X_139))))),
inference(subst,[],[refute_0_1053:[bind(X_63,$fot(complement(X_138))),bind(X_64,$fot(join(complement(X_138),X_139)))]]) ).
cnf(refute_0_1284,plain,
join(complement(X_21),join(complement(X_21),X_65)) = join(join(complement(X_21),complement(X_21)),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(X_21))),bind(X1,$fot(complement(X_21))),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_1285,plain,
( join(complement(X_21),complement(X_21)) != complement(X_21)
| join(complement(X_21),join(complement(X_21),X_65)) != join(join(complement(X_21),complement(X_21)),X_65)
| join(complement(X_21),join(complement(X_21),X_65)) = join(complement(X_21),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_21),join(complement(X_21),X_65)),join(join(complement(X_21),complement(X_21)),X_65)) ),[1,0],$fot(complement(X_21))]]) ).
cnf(refute_0_1286,plain,
( join(complement(X_21),join(complement(X_21),X_65)) != join(join(complement(X_21),complement(X_21)),X_65)
| join(complement(X_21),join(complement(X_21),X_65)) = join(complement(X_21),X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_21),complement(X_21)),complement(X_21)) )],[refute_0_111,refute_0_1285]) ).
cnf(refute_0_1287,plain,
join(complement(X_21),join(complement(X_21),X_65)) = join(complement(X_21),X_65),
inference(resolve,[$cnf( $equal(join(complement(X_21),join(complement(X_21),X_65)),join(join(complement(X_21),complement(X_21)),X_65)) )],[refute_0_1284,refute_0_1286]) ).
cnf(refute_0_1288,plain,
join(complement(X_138),join(complement(X_138),X_139)) = join(complement(X_138),X_139),
inference(subst,[],[refute_0_1287:[bind(X_21,$fot(X_138)),bind(X_65,$fot(X_139))]]) ).
cnf(refute_0_1289,plain,
( join(complement(X_138),join(complement(X_138),X_139)) != join(complement(X_138),X_139)
| top != join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),join(complement(X_138),X_139)))))
| top = join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),join(complement(X_138),X_139)))))) ),[1,1,1,0],$fot(join(complement(X_138),X_139))]]) ).
cnf(refute_0_1290,plain,
( top != join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),join(complement(X_138),X_139)))))
| top = join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),join(complement(X_138),X_139)),join(complement(X_138),X_139)) )],[refute_0_1288,refute_0_1289]) ).
cnf(refute_0_1291,plain,
top = join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),join(complement(X_138),X_139)))))) )],[refute_0_1283,refute_0_1290]) ).
cnf(refute_0_1292,plain,
join(complement(X_138),top) = join(top,complement(X_138)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_138)))]]) ).
cnf(refute_0_1293,plain,
join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))) = top,
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(complement(X_138),X_139)))]]) ).
cnf(refute_0_1294,plain,
join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) = join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))),
introduced(tautology,[refl,[$fot(join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))))]]) ).
cnf(refute_0_1295,plain,
( join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) != join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))))
| join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))) != top
| join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) = join(complement(X_138),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))),join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1296,plain,
( join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))) != top
| join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) = join(complement(X_138),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))),join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))))) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) = join(complement(X_138),top),
inference(resolve,[$cnf( $equal(join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))),top) )],[refute_0_1293,refute_0_1296]) ).
cnf(refute_0_1298,plain,
( join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) != join(complement(X_138),top)
| join(complement(X_138),top) != join(top,complement(X_138))
| join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) = join(top,complement(X_138)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))))),bind(Y,$fot(join(complement(X_138),top))),bind(Z,$fot(join(top,complement(X_138))))]]) ).
cnf(refute_0_1299,plain,
( join(complement(X_138),top) != join(top,complement(X_138))
| join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) = join(top,complement(X_138)) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))),join(complement(X_138),top)) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) = join(top,complement(X_138)),
inference(resolve,[$cnf( $equal(join(complement(X_138),top),join(top,complement(X_138))) )],[refute_0_1292,refute_0_1299]) ).
cnf(refute_0_1301,plain,
( join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))) != join(top,complement(X_138))
| top != join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))))
| top = join(top,complement(X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))))) ),[1],$fot(join(top,complement(X_138)))]]) ).
cnf(refute_0_1302,plain,
( top != join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))))
| top = join(top,complement(X_138)) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139)))),join(top,complement(X_138))) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
top = join(top,complement(X_138)),
inference(resolve,[$cnf( $equal(top,join(complement(X_138),join(join(complement(X_138),X_139),complement(join(complement(X_138),X_139))))) )],[refute_0_1291,refute_0_1302]) ).
cnf(refute_0_1304,plain,
( top != join(top,complement(X_138))
| join(top,complement(X_138)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_138))))]]) ).
cnf(refute_0_1305,plain,
join(top,complement(X_138)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_138))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
join(top,complement(X_107)) = top,
inference(subst,[],[refute_0_1305:[bind(X_138,$fot(X_107))]]) ).
cnf(refute_0_1307,plain,
meet(X_107,join(top,complement(X_107))) = meet(X_107,join(top,complement(X_107))),
introduced(tautology,[refl,[$fot(meet(X_107,join(top,complement(X_107))))]]) ).
cnf(refute_0_1308,plain,
( join(top,complement(X_107)) != top
| meet(X_107,join(top,complement(X_107))) != meet(X_107,join(top,complement(X_107)))
| meet(X_107,join(top,complement(X_107))) = meet(X_107,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_107,join(top,complement(X_107))),meet(X_107,join(top,complement(X_107)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1309,plain,
( join(top,complement(X_107)) != top
| meet(X_107,join(top,complement(X_107))) = meet(X_107,top) ),
inference(resolve,[$cnf( $equal(meet(X_107,join(top,complement(X_107))),meet(X_107,join(top,complement(X_107)))) )],[refute_0_1307,refute_0_1308]) ).
cnf(refute_0_1310,plain,
meet(X_107,join(top,complement(X_107))) = meet(X_107,top),
inference(resolve,[$cnf( $equal(join(top,complement(X_107)),top) )],[refute_0_1306,refute_0_1309]) ).
cnf(refute_0_1311,plain,
( meet(X_107,join(top,complement(X_107))) != meet(X_107,top)
| meet(X_107,top) != X_107
| meet(X_107,join(top,complement(X_107))) = X_107 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(X_107,join(top,complement(X_107))))),bind(Y,$fot(meet(X_107,top))),bind(Z,$fot(X_107))]]) ).
cnf(refute_0_1312,plain,
( meet(X_107,top) != X_107
| meet(X_107,join(top,complement(X_107))) = X_107 ),
inference(resolve,[$cnf( $equal(meet(X_107,join(top,complement(X_107))),meet(X_107,top)) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
meet(X_107,join(top,complement(X_107))) = X_107,
inference(resolve,[$cnf( $equal(meet(X_107,top),X_107) )],[refute_0_1282,refute_0_1312]) ).
cnf(refute_0_1314,plain,
join(meet(X_107,join(top,complement(X_107))),X2) = join(meet(X_107,join(top,complement(X_107))),X2),
introduced(tautology,[refl,[$fot(join(meet(X_107,join(top,complement(X_107))),X2))]]) ).
cnf(refute_0_1315,plain,
( join(meet(X_107,join(top,complement(X_107))),X2) != join(meet(X_107,join(top,complement(X_107))),X2)
| meet(X_107,join(top,complement(X_107))) != X_107
| join(meet(X_107,join(top,complement(X_107))),X2) = join(X_107,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_107,join(top,complement(X_107))),X2),join(meet(X_107,join(top,complement(X_107))),X2)) ),[1,0],$fot(X_107)]]) ).
cnf(refute_0_1316,plain,
( meet(X_107,join(top,complement(X_107))) != X_107
| join(meet(X_107,join(top,complement(X_107))),X2) = join(X_107,X2) ),
inference(resolve,[$cnf( $equal(join(meet(X_107,join(top,complement(X_107))),X2),join(meet(X_107,join(top,complement(X_107))),X2)) )],[refute_0_1314,refute_0_1315]) ).
cnf(refute_0_1317,plain,
join(meet(X_107,join(top,complement(X_107))),X2) = join(X_107,X2),
inference(resolve,[$cnf( $equal(meet(X_107,join(top,complement(X_107))),X_107) )],[refute_0_1313,refute_0_1316]) ).
cnf(refute_0_1318,plain,
join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),
introduced(tautology,[refl,[$fot(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)))]]) ).
cnf(refute_0_1319,plain,
( join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2))
| join(meet(X_107,join(top,complement(X_107))),X2) != join(X_107,X2)
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(complement(X_107),join(X_107,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2))) ),[1,1],$fot(join(X_107,X2))]]) ).
cnf(refute_0_1320,plain,
( join(meet(X_107,join(top,complement(X_107))),X2) != join(X_107,X2)
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(complement(X_107),join(X_107,X2)) ),
inference(resolve,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2))) )],[refute_0_1318,refute_0_1319]) ).
cnf(refute_0_1321,plain,
join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(complement(X_107),join(X_107,X2)),
inference(resolve,[$cnf( $equal(join(meet(X_107,join(top,complement(X_107))),X2),join(X_107,X2)) )],[refute_0_1317,refute_0_1320]) ).
cnf(refute_0_1322,plain,
( join(complement(X_107),join(X_107,X2)) != join(top,X2)
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(complement(X_107),join(X_107,X2))
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(top,X2) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)))),bind(Y,$fot(join(complement(X_107),join(X_107,X2)))),bind(Z,$fot(join(top,X2)))]]) ).
cnf(refute_0_1323,plain,
( join(complement(X_107),join(X_107,X2)) != join(top,X2)
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(complement(X_107),join(X_107,X2))) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(complement(X_107),join(X_107,X2)),join(top,X2)) )],[refute_0_1281,refute_0_1323]) ).
cnf(refute_0_1325,plain,
( join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(top,X2)
| join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(top,join(complement(X_107),X2))
| join(top,X2) = join(top,join(complement(X_107),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(top,join(complement(X_107),X2))) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_0_1326,plain,
( join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)) != join(top,join(complement(X_107),X2))
| join(top,X2) = join(top,join(complement(X_107),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(top,X2)) )],[refute_0_1324,refute_0_1325]) ).
cnf(refute_0_1327,plain,
join(top,X2) = join(top,join(complement(X_107),X2)),
inference(resolve,[$cnf( $equal(join(complement(X_107),join(meet(X_107,join(top,complement(X_107))),X2)),join(top,join(complement(X_107),X2))) )],[refute_0_1257,refute_0_1326]) ).
cnf(refute_0_1328,plain,
( join(top,X2) != join(top,join(complement(X_107),X2))
| join(top,join(complement(X_107),X2)) = join(top,X2) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(top,X2))),bind(Y,$fot(join(top,join(complement(X_107),X2))))]]) ).
cnf(refute_0_1329,plain,
join(top,join(complement(X_107),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(top,X2),join(top,join(complement(X_107),X2))) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))) = join(top,meet(join(X_104,top),meet(zero,X_104))),
inference(subst,[],[refute_0_1329:[bind(X2,$fot(meet(join(X_104,top),meet(zero,X_104)))),bind(X_107,$fot(join(X_104,top)))]]) ).
cnf(refute_0_1331,plain,
( join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))) != join(top,meet(join(X_104,top),meet(zero,X_104)))
| join(top,meet(join(X_104,top),meet(zero,X_104))) != join(X_104,top)
| join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))) = join(X_104,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))))),bind(Y,$fot(join(top,meet(join(X_104,top),meet(zero,X_104))))),bind(Z,$fot(join(X_104,top)))]]) ).
cnf(refute_0_1332,plain,
( join(top,meet(join(X_104,top),meet(zero,X_104))) != join(X_104,top)
| join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))) = join(X_104,top) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))),join(top,meet(join(X_104,top),meet(zero,X_104)))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))) = join(X_104,top),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_104,top),meet(zero,X_104))),join(X_104,top)) )],[refute_0_1079,refute_0_1332]) ).
cnf(refute_0_1334,plain,
( join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))) != join(X_104,top)
| top != join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104))))
| top = join(X_104,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104))))) ),[1],$fot(join(X_104,top))]]) ).
cnf(refute_0_1335,plain,
( top != join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104))))
| top = join(X_104,top) ),
inference(resolve,[$cnf( $equal(join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104)))),join(X_104,top)) )],[refute_0_1333,refute_0_1334]) ).
cnf(refute_0_1336,plain,
top = join(X_104,top),
inference(resolve,[$cnf( $equal(top,join(top,join(complement(join(X_104,top)),meet(join(X_104,top),meet(zero,X_104))))) )],[refute_0_1099,refute_0_1335]) ).
cnf(refute_0_1337,plain,
( top != join(X_104,top)
| join(X_104,top) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_104,top)))]]) ).
cnf(refute_0_1338,plain,
join(X_104,top) = top,
inference(resolve,[$cnf( $equal(top,join(X_104,top)) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
join(one,top) = top,
inference(subst,[],[refute_0_1338:[bind(X_104,$fot(one))]]) ).
cnf(refute_0_1340,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_1341,plain,
( converse(join(one,top)) != converse(join(one,top))
| join(one,top) != top
| converse(join(one,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1342,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_1342]) ).
cnf(refute_0_1344,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1345,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_1343,refute_0_1344]) ).
cnf(refute_0_1346,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_1345]) ).
cnf(refute_0_1347,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(top))]]) ).
cnf(refute_0_1348,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,$fot(top))]]) ).
cnf(refute_0_1349,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_1346,refute_0_1349]) ).
cnf(refute_0_1351,plain,
composition(join(one,converse(top)),complement(composition(top,X_192))) = composition(join(one,converse(top)),complement(composition(top,X_192))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_192))))]]) ).
cnf(refute_0_1352,plain,
( composition(join(one,converse(top)),complement(composition(top,X_192))) != composition(join(one,converse(top)),complement(composition(top,X_192)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_192))) = composition(top,complement(composition(top,X_192))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_192))),composition(join(one,converse(top)),complement(composition(top,X_192)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1353,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_192))) = composition(top,complement(composition(top,X_192))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_192))),composition(join(one,converse(top)),complement(composition(top,X_192)))) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
composition(join(one,converse(top)),complement(composition(top,X_192))) = composition(top,complement(composition(top,X_192))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_1350,refute_0_1353]) ).
cnf(refute_0_1355,plain,
join(complement(X_138),join(complement(X_138),composition(X_108,complement(X_138)))) = join(complement(X_138),composition(X_108,complement(X_138))),
inference(subst,[],[refute_0_1287:[bind(X_21,$fot(X_138)),bind(X_65,$fot(composition(X_108,complement(X_138))))]]) ).
cnf(refute_0_1356,plain,
composition(join(X_108,one),complement(X_138)) = join(complement(X_138),composition(X_108,complement(X_138))),
inference(subst,[],[refute_0_685:[bind(X_110,$fot(complement(X_138)))]]) ).
cnf(refute_0_1357,plain,
( composition(join(X_108,one),complement(X_138)) != join(complement(X_138),composition(X_108,complement(X_138)))
| join(complement(X_138),composition(X_108,complement(X_138))) = composition(join(X_108,one),complement(X_138)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_108,one),complement(X_138)))),bind(Y,$fot(join(complement(X_138),composition(X_108,complement(X_138)))))]]) ).
cnf(refute_0_1358,plain,
join(complement(X_138),composition(X_108,complement(X_138))) = composition(join(X_108,one),complement(X_138)),
inference(resolve,[$cnf( $equal(composition(join(X_108,one),complement(X_138)),join(complement(X_138),composition(X_108,complement(X_138)))) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
( join(complement(X_138),composition(X_108,complement(X_138))) != composition(join(X_108,one),complement(X_138))
| join(complement(X_138),join(complement(X_138),composition(X_108,complement(X_138)))) != join(complement(X_138),composition(X_108,complement(X_138)))
| join(complement(X_138),composition(join(X_108,one),complement(X_138))) = join(complement(X_138),composition(X_108,complement(X_138))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_138),join(complement(X_138),composition(X_108,complement(X_138)))),join(complement(X_138),composition(X_108,complement(X_138)))) ),[0,1],$fot(composition(join(X_108,one),complement(X_138)))]]) ).
cnf(refute_0_1360,plain,
( join(complement(X_138),join(complement(X_138),composition(X_108,complement(X_138)))) != join(complement(X_138),composition(X_108,complement(X_138)))
| join(complement(X_138),composition(join(X_108,one),complement(X_138))) = join(complement(X_138),composition(X_108,complement(X_138))) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),composition(X_108,complement(X_138))),composition(join(X_108,one),complement(X_138))) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
join(complement(X_138),composition(join(X_108,one),complement(X_138))) = join(complement(X_138),composition(X_108,complement(X_138))),
inference(resolve,[$cnf( $equal(join(complement(X_138),join(complement(X_138),composition(X_108,complement(X_138)))),join(complement(X_138),composition(X_108,complement(X_138)))) )],[refute_0_1355,refute_0_1360]) ).
cnf(refute_0_1362,plain,
composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) = join(X_110,composition(join(converse(complement(composition(X_110,top))),X_127),X_110)),
inference(subst,[],[refute_0_685:[bind(X_108,$fot(join(converse(complement(composition(X_110,top))),X_127)))]]) ).
cnf(refute_0_1363,plain,
composition(join(converse(complement(composition(X_110,top))),X_109),X_110) = join(composition(converse(complement(composition(X_110,top))),X_110),composition(X_109,X_110)),
inference(subst,[],[refute_0_452:[bind(X0,$fot(converse(complement(composition(X_110,top))))),bind(X1,$fot(X_109)),bind(X2,$fot(X_110))]]) ).
cnf(refute_0_1364,plain,
( composition(converse(complement(composition(X_110,top))),X_110) != zero
| composition(join(converse(complement(composition(X_110,top))),X_109),X_110) != join(composition(converse(complement(composition(X_110,top))),X_110),composition(X_109,X_110))
| composition(join(converse(complement(composition(X_110,top))),X_109),X_110) = join(zero,composition(X_109,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_110,top))),X_109),X_110),join(composition(converse(complement(composition(X_110,top))),X_110),composition(X_109,X_110))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1365,plain,
( composition(join(converse(complement(composition(X_110,top))),X_109),X_110) != join(composition(converse(complement(composition(X_110,top))),X_110),composition(X_109,X_110))
| composition(join(converse(complement(composition(X_110,top))),X_109),X_110) = join(zero,composition(X_109,X_110)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_110,top))),X_110),zero) )],[refute_0_552,refute_0_1364]) ).
cnf(refute_0_1366,plain,
composition(join(converse(complement(composition(X_110,top))),X_109),X_110) = join(zero,composition(X_109,X_110)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_110,top))),X_109),X_110),join(composition(converse(complement(composition(X_110,top))),X_110),composition(X_109,X_110))) )],[refute_0_1363,refute_0_1365]) ).
cnf(refute_0_1367,plain,
join(zero,composition(X_109,X_110)) = composition(X_109,X_110),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(composition(X_109,X_110)))]]) ).
cnf(refute_0_1368,plain,
( composition(join(converse(complement(composition(X_110,top))),X_109),X_110) != join(zero,composition(X_109,X_110))
| join(zero,composition(X_109,X_110)) != composition(X_109,X_110)
| composition(join(converse(complement(composition(X_110,top))),X_109),X_110) = composition(X_109,X_110) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(converse(complement(composition(X_110,top))),X_109),X_110),composition(X_109,X_110)) ),[0],$fot(join(zero,composition(X_109,X_110)))]]) ).
cnf(refute_0_1369,plain,
( composition(join(converse(complement(composition(X_110,top))),X_109),X_110) != join(zero,composition(X_109,X_110))
| composition(join(converse(complement(composition(X_110,top))),X_109),X_110) = composition(X_109,X_110) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_109,X_110)),composition(X_109,X_110)) )],[refute_0_1367,refute_0_1368]) ).
cnf(refute_0_1370,plain,
composition(join(converse(complement(composition(X_110,top))),X_109),X_110) = composition(X_109,X_110),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_110,top))),X_109),X_110),join(zero,composition(X_109,X_110))) )],[refute_0_1366,refute_0_1369]) ).
cnf(refute_0_1371,plain,
composition(join(converse(complement(composition(X_110,top))),X_127),X_110) = composition(X_127,X_110),
inference(subst,[],[refute_0_1370:[bind(X_109,$fot(X_127))]]) ).
cnf(refute_0_1372,plain,
( composition(join(converse(complement(composition(X_110,top))),X_127),X_110) != composition(X_127,X_110)
| composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) != join(X_110,composition(join(converse(complement(composition(X_110,top))),X_127),X_110))
| composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) = join(X_110,composition(X_127,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110),join(X_110,composition(join(converse(complement(composition(X_110,top))),X_127),X_110))) ),[1,1],$fot(composition(X_127,X_110))]]) ).
cnf(refute_0_1373,plain,
( composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) != join(X_110,composition(join(converse(complement(composition(X_110,top))),X_127),X_110))
| composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) = join(X_110,composition(X_127,X_110)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_110,top))),X_127),X_110),composition(X_127,X_110)) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) = join(X_110,composition(X_127,X_110)),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110),join(X_110,composition(join(converse(complement(composition(X_110,top))),X_127),X_110))) )],[refute_0_1362,refute_0_1373]) ).
cnf(refute_0_1375,plain,
composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) = join(composition(join(X_121,converse(complement(composition(X2,top)))),X2),composition(X1,X2)),
inference(subst,[],[refute_0_452:[bind(X0,$fot(join(X_121,converse(complement(composition(X2,top))))))]]) ).
cnf(refute_0_1376,plain,
( composition(join(X_121,converse(complement(composition(X2,top)))),X2) != composition(X_121,X2)
| composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) != join(composition(join(X_121,converse(complement(composition(X2,top)))),X2),composition(X1,X2))
| composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_121,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2),join(composition(join(X_121,converse(complement(composition(X2,top)))),X2),composition(X1,X2))) ),[1,0],$fot(composition(X_121,X2))]]) ).
cnf(refute_0_1377,plain,
( composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) != join(composition(join(X_121,converse(complement(composition(X2,top)))),X2),composition(X1,X2))
| composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_121,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(X_121,converse(complement(composition(X2,top)))),X2),composition(X_121,X2)) )],[refute_0_715,refute_0_1376]) ).
cnf(refute_0_1378,plain,
composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) = join(composition(X_121,X2),composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2),join(composition(join(X_121,converse(complement(composition(X2,top)))),X2),composition(X1,X2))) )],[refute_0_1375,refute_0_1377]) ).
cnf(refute_0_1379,plain,
join(join(X_121,converse(complement(composition(X2,top)))),X1) = join(X_121,join(converse(complement(composition(X2,top))),X1)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_121)),bind(X1,$fot(converse(complement(composition(X2,top))))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_1380,plain,
composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) = composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2),
introduced(tautology,[refl,[$fot(composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2))]]) ).
cnf(refute_0_1381,plain,
( composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) != composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2)
| join(join(X_121,converse(complement(composition(X2,top)))),X1) != join(X_121,join(converse(complement(composition(X2,top))),X1))
| composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2),composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2)) ),[1,0],$fot(join(X_121,join(converse(complement(composition(X2,top))),X1)))]]) ).
cnf(refute_0_1382,plain,
( join(join(X_121,converse(complement(composition(X2,top)))),X1) != join(X_121,join(converse(complement(composition(X2,top))),X1))
| composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2),composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2)) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) = composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2),
inference(resolve,[$cnf( $equal(join(join(X_121,converse(complement(composition(X2,top)))),X1),join(X_121,join(converse(complement(composition(X2,top))),X1))) )],[refute_0_1379,refute_0_1382]) ).
cnf(refute_0_1384,plain,
( composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) != composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2)
| composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_121,X2),composition(X1,X2))
| composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) = join(composition(X_121,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2),join(composition(X_121,X2),composition(X1,X2))) ),[0],$fot(composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2))]]) ).
cnf(refute_0_1385,plain,
( composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_121,X2),composition(X1,X2))
| composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) = join(composition(X_121,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2),composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2)) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
join(composition(X_121,X2),composition(X1,X2)) = composition(join(X_121,X1),X2),
inference(subst,[],[refute_0_720:[bind(X0,$fot(X_121))]]) ).
cnf(refute_0_1387,plain,
( composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) != join(composition(X_121,X2),composition(X1,X2))
| join(composition(X_121,X2),composition(X1,X2)) != composition(join(X_121,X1),X2)
| composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_121,X1),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2),composition(join(X_121,X1),X2)) ),[0],$fot(join(composition(X_121,X2),composition(X1,X2)))]]) ).
cnf(refute_0_1388,plain,
( composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) != join(composition(X_121,X2),composition(X1,X2))
| composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_121,X1),X2) ),
inference(resolve,[$cnf( $equal(join(composition(X_121,X2),composition(X1,X2)),composition(join(X_121,X1),X2)) )],[refute_0_1386,refute_0_1387]) ).
cnf(refute_0_1389,plain,
( composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2) != join(composition(X_121,X2),composition(X1,X2))
| composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_121,X1),X2) ),
inference(resolve,[$cnf( $equal(composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2),join(composition(X_121,X2),composition(X1,X2))) )],[refute_0_1385,refute_0_1388]) ).
cnf(refute_0_1390,plain,
composition(join(X_121,join(converse(complement(composition(X2,top))),X1)),X2) = composition(join(X_121,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(join(X_121,converse(complement(composition(X2,top)))),X1),X2),join(composition(X_121,X2),composition(X1,X2))) )],[refute_0_1378,refute_0_1389]) ).
cnf(refute_0_1391,plain,
composition(join(one,join(converse(complement(composition(X_110,top))),X_127)),X_110) = composition(join(one,X_127),X_110),
inference(subst,[],[refute_0_1390:[bind(X1,$fot(X_127)),bind(X2,$fot(X_110)),bind(X_121,$fot(one))]]) ).
cnf(refute_0_1392,plain,
composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) = composition(join(one,join(converse(complement(composition(X_110,top))),X_127)),X_110),
inference(subst,[],[refute_0_730:[bind(X_121,$fot(join(converse(complement(composition(X_110,top))),X_127)))]]) ).
cnf(refute_0_1393,plain,
( composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) != composition(join(one,join(converse(complement(composition(X_110,top))),X_127)),X_110)
| composition(join(one,join(converse(complement(composition(X_110,top))),X_127)),X_110) != composition(join(one,X_127),X_110)
| composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) = composition(join(one,X_127),X_110) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110))),bind(Y,$fot(composition(join(one,join(converse(complement(composition(X_110,top))),X_127)),X_110))),bind(Z,$fot(composition(join(one,X_127),X_110)))]]) ).
cnf(refute_0_1394,plain,
( composition(join(one,join(converse(complement(composition(X_110,top))),X_127)),X_110) != composition(join(one,X_127),X_110)
| composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) = composition(join(one,X_127),X_110) ),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110),composition(join(one,join(converse(complement(composition(X_110,top))),X_127)),X_110)) )],[refute_0_1392,refute_0_1393]) ).
cnf(refute_0_1395,plain,
composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) = composition(join(one,X_127),X_110),
inference(resolve,[$cnf( $equal(composition(join(one,join(converse(complement(composition(X_110,top))),X_127)),X_110),composition(join(one,X_127),X_110)) )],[refute_0_1391,refute_0_1394]) ).
cnf(refute_0_1396,plain,
( composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) != composition(join(one,X_127),X_110)
| composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) != join(X_110,composition(X_127,X_110))
| composition(join(one,X_127),X_110) = join(X_110,composition(X_127,X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110),join(X_110,composition(X_127,X_110))) ),[0],$fot(composition(join(one,X_127),X_110))]]) ).
cnf(refute_0_1397,plain,
( composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) != join(X_110,composition(X_127,X_110))
| composition(join(one,X_127),X_110) = join(X_110,composition(X_127,X_110)) ),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110),composition(join(one,X_127),X_110)) )],[refute_0_1395,refute_0_1396]) ).
cnf(refute_0_1398,plain,
join(X_110,composition(X_127,X_110)) = composition(join(X_127,one),X_110),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(X_127))]]) ).
cnf(refute_0_1399,plain,
( composition(join(one,X_127),X_110) != join(X_110,composition(X_127,X_110))
| join(X_110,composition(X_127,X_110)) != composition(join(X_127,one),X_110)
| composition(join(one,X_127),X_110) = composition(join(X_127,one),X_110) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_127),X_110),composition(join(X_127,one),X_110)) ),[0],$fot(join(X_110,composition(X_127,X_110)))]]) ).
cnf(refute_0_1400,plain,
( composition(join(one,X_127),X_110) != join(X_110,composition(X_127,X_110))
| composition(join(one,X_127),X_110) = composition(join(X_127,one),X_110) ),
inference(resolve,[$cnf( $equal(join(X_110,composition(X_127,X_110)),composition(join(X_127,one),X_110)) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
( composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110) != join(X_110,composition(X_127,X_110))
| composition(join(one,X_127),X_110) = composition(join(X_127,one),X_110) ),
inference(resolve,[$cnf( $equal(composition(join(one,X_127),X_110),join(X_110,composition(X_127,X_110))) )],[refute_0_1397,refute_0_1400]) ).
cnf(refute_0_1402,plain,
composition(join(one,X_127),X_110) = composition(join(X_127,one),X_110),
inference(resolve,[$cnf( $equal(composition(join(join(converse(complement(composition(X_110,top))),X_127),one),X_110),join(X_110,composition(X_127,X_110))) )],[refute_0_1374,refute_0_1401]) ).
cnf(refute_0_1403,plain,
( composition(join(one,X_127),X_110) != composition(join(X_127,one),X_110)
| composition(join(X_127,one),X_110) = composition(join(one,X_127),X_110) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X_127),X_110))),bind(Y,$fot(composition(join(X_127,one),X_110)))]]) ).
cnf(refute_0_1404,plain,
composition(join(X_127,one),X_110) = composition(join(one,X_127),X_110),
inference(resolve,[$cnf( $equal(composition(join(one,X_127),X_110),composition(join(X_127,one),X_110)) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
composition(join(join(X_108,one),one),complement(X_138)) = composition(join(one,join(X_108,one)),complement(X_138)),
inference(subst,[],[refute_0_1404:[bind(X_110,$fot(complement(X_138))),bind(X_127,$fot(join(X_108,one)))]]) ).
cnf(refute_0_1406,plain,
join(complement(X_138),composition(join(X_108,one),complement(X_138))) = composition(join(join(X_108,one),one),complement(X_138)),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(join(X_108,one))),bind(X_110,$fot(complement(X_138)))]]) ).
cnf(refute_0_1407,plain,
( composition(join(join(X_108,one),one),complement(X_138)) != composition(join(one,join(X_108,one)),complement(X_138))
| join(complement(X_138),composition(join(X_108,one),complement(X_138))) != composition(join(join(X_108,one),one),complement(X_138))
| join(complement(X_138),composition(join(X_108,one),complement(X_138))) = composition(join(one,join(X_108,one)),complement(X_138)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_138),composition(join(X_108,one),complement(X_138))))),bind(Y,$fot(composition(join(join(X_108,one),one),complement(X_138)))),bind(Z,$fot(composition(join(one,join(X_108,one)),complement(X_138))))]]) ).
cnf(refute_0_1408,plain,
( composition(join(join(X_108,one),one),complement(X_138)) != composition(join(one,join(X_108,one)),complement(X_138))
| join(complement(X_138),composition(join(X_108,one),complement(X_138))) = composition(join(one,join(X_108,one)),complement(X_138)) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),composition(join(X_108,one),complement(X_138))),composition(join(join(X_108,one),one),complement(X_138))) )],[refute_0_1406,refute_0_1407]) ).
cnf(refute_0_1409,plain,
join(complement(X_138),composition(join(X_108,one),complement(X_138))) = composition(join(one,join(X_108,one)),complement(X_138)),
inference(resolve,[$cnf( $equal(composition(join(join(X_108,one),one),complement(X_138)),composition(join(one,join(X_108,one)),complement(X_138))) )],[refute_0_1405,refute_0_1408]) ).
cnf(refute_0_1410,plain,
( join(complement(X_138),composition(join(X_108,one),complement(X_138))) != composition(join(one,join(X_108,one)),complement(X_138))
| join(complement(X_138),composition(join(X_108,one),complement(X_138))) != join(complement(X_138),composition(X_108,complement(X_138)))
| composition(join(one,join(X_108,one)),complement(X_138)) = join(complement(X_138),composition(X_108,complement(X_138))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_138),composition(join(X_108,one),complement(X_138))),join(complement(X_138),composition(X_108,complement(X_138)))) ),[0],$fot(composition(join(one,join(X_108,one)),complement(X_138)))]]) ).
cnf(refute_0_1411,plain,
( join(complement(X_138),composition(join(X_108,one),complement(X_138))) != join(complement(X_138),composition(X_108,complement(X_138)))
| composition(join(one,join(X_108,one)),complement(X_138)) = join(complement(X_138),composition(X_108,complement(X_138))) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),composition(join(X_108,one),complement(X_138))),composition(join(one,join(X_108,one)),complement(X_138))) )],[refute_0_1409,refute_0_1410]) ).
cnf(refute_0_1412,plain,
( composition(join(one,join(X_108,one)),complement(X_138)) != join(complement(X_138),composition(X_108,complement(X_138)))
| join(complement(X_138),composition(X_108,complement(X_138))) != composition(join(X_108,one),complement(X_138))
| composition(join(one,join(X_108,one)),complement(X_138)) = composition(join(X_108,one),complement(X_138)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(X_108,one)),complement(X_138)),composition(join(X_108,one),complement(X_138))) ),[0],$fot(join(complement(X_138),composition(X_108,complement(X_138))))]]) ).
cnf(refute_0_1413,plain,
( composition(join(one,join(X_108,one)),complement(X_138)) != join(complement(X_138),composition(X_108,complement(X_138)))
| composition(join(one,join(X_108,one)),complement(X_138)) = composition(join(X_108,one),complement(X_138)) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),composition(X_108,complement(X_138))),composition(join(X_108,one),complement(X_138))) )],[refute_0_1358,refute_0_1412]) ).
cnf(refute_0_1414,plain,
( join(complement(X_138),composition(join(X_108,one),complement(X_138))) != join(complement(X_138),composition(X_108,complement(X_138)))
| composition(join(one,join(X_108,one)),complement(X_138)) = composition(join(X_108,one),complement(X_138)) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_108,one)),complement(X_138)),join(complement(X_138),composition(X_108,complement(X_138)))) )],[refute_0_1411,refute_0_1413]) ).
cnf(refute_0_1415,plain,
composition(join(one,join(X_108,one)),complement(X_138)) = composition(join(X_108,one),complement(X_138)),
inference(resolve,[$cnf( $equal(join(complement(X_138),composition(join(X_108,one),complement(X_138))),join(complement(X_138),composition(X_108,complement(X_138)))) )],[refute_0_1361,refute_0_1414]) ).
cnf(refute_0_1416,plain,
composition(join(join(one,one),X1),X2) = join(composition(join(one,one),X2),composition(X1,X2)),
inference(subst,[],[refute_0_452:[bind(X0,$fot(join(one,one)))]]) ).
cnf(refute_0_1417,plain,
composition(join(one,one),X_115) = join(X_115,composition(one,X_115)),
inference(subst,[],[refute_0_685:[bind(X_108,$fot(one)),bind(X_110,$fot(X_115))]]) ).
cnf(refute_0_1418,plain,
X_115 = composition(one,X_115),
inference(subst,[],[refute_0_88:[bind(X_15,$fot(X_115))]]) ).
cnf(refute_0_1419,plain,
( X_115 != composition(one,X_115)
| composition(one,X_115) = X_115 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_115)),bind(Y,$fot(composition(one,X_115)))]]) ).
cnf(refute_0_1420,plain,
composition(one,X_115) = X_115,
inference(resolve,[$cnf( $equal(X_115,composition(one,X_115)) )],[refute_0_1418,refute_0_1419]) ).
cnf(refute_0_1421,plain,
( composition(join(one,one),X_115) != join(X_115,composition(one,X_115))
| composition(one,X_115) != X_115
| composition(join(one,one),X_115) = join(X_115,X_115) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_115),join(X_115,composition(one,X_115))) ),[1,1],$fot(X_115)]]) ).
cnf(refute_0_1422,plain,
( composition(join(one,one),X_115) != join(X_115,composition(one,X_115))
| composition(join(one,one),X_115) = join(X_115,X_115) ),
inference(resolve,[$cnf( $equal(composition(one,X_115),X_115) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
composition(join(one,one),X_115) = join(X_115,X_115),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_115),join(X_115,composition(one,X_115))) )],[refute_0_1417,refute_0_1422]) ).
cnf(refute_0_1424,plain,
composition(join(one,one),X2) = join(X2,X2),
inference(subst,[],[refute_0_1423:[bind(X_115,$fot(X2))]]) ).
cnf(refute_0_1425,plain,
( composition(join(join(one,one),X1),X2) != join(composition(join(one,one),X2),composition(X1,X2))
| composition(join(one,one),X2) != join(X2,X2)
| composition(join(join(one,one),X1),X2) = join(join(X2,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),X2),join(composition(join(one,one),X2),composition(X1,X2))) ),[1,0],$fot(join(X2,X2))]]) ).
cnf(refute_0_1426,plain,
( composition(join(join(one,one),X1),X2) != join(composition(join(one,one),X2),composition(X1,X2))
| composition(join(join(one,one),X1),X2) = join(join(X2,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X2),join(X2,X2)) )],[refute_0_1424,refute_0_1425]) ).
cnf(refute_0_1427,plain,
composition(join(join(one,one),X1),X2) = join(join(X2,X2),composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),X2),join(composition(join(one,one),X2),composition(X1,X2))) )],[refute_0_1416,refute_0_1426]) ).
cnf(refute_0_1428,plain,
join(join(one,one),X1) = join(one,join(one,X1)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_1429,plain,
composition(join(join(one,one),X1),X2) = composition(join(join(one,one),X1),X2),
introduced(tautology,[refl,[$fot(composition(join(join(one,one),X1),X2))]]) ).
cnf(refute_0_1430,plain,
( composition(join(join(one,one),X1),X2) != composition(join(join(one,one),X1),X2)
| join(join(one,one),X1) != join(one,join(one,X1))
| composition(join(join(one,one),X1),X2) = composition(join(one,join(one,X1)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),X2),composition(join(join(one,one),X1),X2)) ),[1,0],$fot(join(one,join(one,X1)))]]) ).
cnf(refute_0_1431,plain,
( join(join(one,one),X1) != join(one,join(one,X1))
| composition(join(join(one,one),X1),X2) = composition(join(one,join(one,X1)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),X2),composition(join(join(one,one),X1),X2)) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
composition(join(join(one,one),X1),X2) = composition(join(one,join(one,X1)),X2),
inference(resolve,[$cnf( $equal(join(join(one,one),X1),join(one,join(one,X1))) )],[refute_0_1428,refute_0_1431]) ).
cnf(refute_0_1433,plain,
( composition(join(join(one,one),X1),X2) != composition(join(one,join(one,X1)),X2)
| composition(join(join(one,one),X1),X2) != join(join(X2,X2),composition(X1,X2))
| composition(join(one,join(one,X1)),X2) = join(join(X2,X2),composition(X1,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(join(one,one),X1),X2),join(join(X2,X2),composition(X1,X2))) ),[0],$fot(composition(join(one,join(one,X1)),X2))]]) ).
cnf(refute_0_1434,plain,
( composition(join(join(one,one),X1),X2) != join(join(X2,X2),composition(X1,X2))
| composition(join(one,join(one,X1)),X2) = join(join(X2,X2),composition(X1,X2)) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),X2),composition(join(one,join(one,X1)),X2)) )],[refute_0_1432,refute_0_1433]) ).
cnf(refute_0_1435,plain,
composition(join(join(X1,one),one),X2) = composition(join(one,join(X1,one)),X2),
inference(subst,[],[refute_0_705:[bind(X_114,$fot(join(X1,one))),bind(X_115,$fot(X2))]]) ).
cnf(refute_0_1436,plain,
join(X2,composition(join(X1,one),X2)) = composition(join(join(X1,one),one),X2),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(join(X1,one))),bind(X_110,$fot(X2))]]) ).
cnf(refute_0_1437,plain,
( composition(join(join(X1,one),one),X2) != composition(join(one,join(X1,one)),X2)
| join(X2,composition(join(X1,one),X2)) != composition(join(join(X1,one),one),X2)
| join(X2,composition(join(X1,one),X2)) = composition(join(one,join(X1,one)),X2) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X2,composition(join(X1,one),X2)))),bind(Y,$fot(composition(join(join(X1,one),one),X2))),bind(Z,$fot(composition(join(one,join(X1,one)),X2)))]]) ).
cnf(refute_0_1438,plain,
( composition(join(join(X1,one),one),X2) != composition(join(one,join(X1,one)),X2)
| join(X2,composition(join(X1,one),X2)) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(join(X2,composition(join(X1,one),X2)),composition(join(join(X1,one),one),X2)) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
join(X2,composition(join(X1,one),X2)) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(composition(join(join(X1,one),one),X2),composition(join(one,join(X1,one)),X2)) )],[refute_0_1435,refute_0_1438]) ).
cnf(refute_0_1440,plain,
join(X2,composition(X1,X2)) = composition(join(X1,one),X2),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(X1)),bind(X_110,$fot(X2))]]) ).
cnf(refute_0_1441,plain,
join(X2,join(X2,composition(X1,X2))) = join(X2,join(X2,composition(X1,X2))),
introduced(tautology,[refl,[$fot(join(X2,join(X2,composition(X1,X2))))]]) ).
cnf(refute_0_1442,plain,
( join(X2,composition(X1,X2)) != composition(join(X1,one),X2)
| join(X2,join(X2,composition(X1,X2))) != join(X2,join(X2,composition(X1,X2)))
| join(X2,join(X2,composition(X1,X2))) = join(X2,composition(join(X1,one),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X2,join(X2,composition(X1,X2))),join(X2,join(X2,composition(X1,X2)))) ),[1,1],$fot(composition(join(X1,one),X2))]]) ).
cnf(refute_0_1443,plain,
( join(X2,composition(X1,X2)) != composition(join(X1,one),X2)
| join(X2,join(X2,composition(X1,X2))) = join(X2,composition(join(X1,one),X2)) ),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X1,X2))),join(X2,join(X2,composition(X1,X2)))) )],[refute_0_1441,refute_0_1442]) ).
cnf(refute_0_1444,plain,
join(X2,join(X2,composition(X1,X2))) = join(X2,composition(join(X1,one),X2)),
inference(resolve,[$cnf( $equal(join(X2,composition(X1,X2)),composition(join(X1,one),X2)) )],[refute_0_1440,refute_0_1443]) ).
cnf(refute_0_1445,plain,
( join(X2,composition(join(X1,one),X2)) != composition(join(one,join(X1,one)),X2)
| join(X2,join(X2,composition(X1,X2))) != join(X2,composition(join(X1,one),X2))
| join(X2,join(X2,composition(X1,X2))) = composition(join(one,join(X1,one)),X2) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X2,join(X2,composition(X1,X2))))),bind(Y,$fot(join(X2,composition(join(X1,one),X2)))),bind(Z,$fot(composition(join(one,join(X1,one)),X2)))]]) ).
cnf(refute_0_1446,plain,
( join(X2,composition(join(X1,one),X2)) != composition(join(one,join(X1,one)),X2)
| join(X2,join(X2,composition(X1,X2))) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X1,X2))),join(X2,composition(join(X1,one),X2))) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
join(X2,join(X2,composition(X1,X2))) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(join(X2,composition(join(X1,one),X2)),composition(join(one,join(X1,one)),X2)) )],[refute_0_1439,refute_0_1446]) ).
cnf(refute_0_1448,plain,
join(join(X2,X2),composition(X1,X2)) = join(X2,join(X2,composition(X1,X2))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X2)),bind(X1,$fot(X2)),bind(X2,$fot(composition(X1,X2)))]]) ).
cnf(refute_0_1449,plain,
( join(X2,join(X2,composition(X1,X2))) != composition(join(one,join(X1,one)),X2)
| join(join(X2,X2),composition(X1,X2)) != join(X2,join(X2,composition(X1,X2)))
| join(join(X2,X2),composition(X1,X2)) = composition(join(one,join(X1,one)),X2) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X2,X2),composition(X1,X2)))),bind(Y,$fot(join(X2,join(X2,composition(X1,X2))))),bind(Z,$fot(composition(join(one,join(X1,one)),X2)))]]) ).
cnf(refute_0_1450,plain,
( join(X2,join(X2,composition(X1,X2))) != composition(join(one,join(X1,one)),X2)
| join(join(X2,X2),composition(X1,X2)) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(join(join(X2,X2),composition(X1,X2)),join(X2,join(X2,composition(X1,X2)))) )],[refute_0_1448,refute_0_1449]) ).
cnf(refute_0_1451,plain,
join(join(X2,X2),composition(X1,X2)) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(join(X2,join(X2,composition(X1,X2))),composition(join(one,join(X1,one)),X2)) )],[refute_0_1447,refute_0_1450]) ).
cnf(refute_0_1452,plain,
( composition(join(one,join(one,X1)),X2) != join(join(X2,X2),composition(X1,X2))
| join(join(X2,X2),composition(X1,X2)) != composition(join(one,join(X1,one)),X2)
| composition(join(one,join(one,X1)),X2) = composition(join(one,join(X1,one)),X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(X1,one)),X2)) ),[0],$fot(join(join(X2,X2),composition(X1,X2)))]]) ).
cnf(refute_0_1453,plain,
( composition(join(one,join(one,X1)),X2) != join(join(X2,X2),composition(X1,X2))
| composition(join(one,join(one,X1)),X2) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(join(join(X2,X2),composition(X1,X2)),composition(join(one,join(X1,one)),X2)) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
( composition(join(join(one,one),X1),X2) != join(join(X2,X2),composition(X1,X2))
| composition(join(one,join(one,X1)),X2) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),join(join(X2,X2),composition(X1,X2))) )],[refute_0_1434,refute_0_1453]) ).
cnf(refute_0_1455,plain,
composition(join(one,join(one,X1)),X2) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),X1),X2),join(join(X2,X2),composition(X1,X2))) )],[refute_0_1427,refute_0_1454]) ).
cnf(refute_0_1456,plain,
join(complement(complement(X0)),join(complement(complement(X0)),X_139)) = join(complement(complement(X0)),X_139),
inference(subst,[],[refute_0_1287:[bind(X_21,$fot(complement(X0))),bind(X_65,$fot(X_139))]]) ).
cnf(refute_0_1457,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),join(complement(complement(X0)),X_139)) != join(complement(complement(X0)),X_139)
| join(complement(complement(X0)),join(X0,X_139)) = join(complement(complement(X0)),X_139) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),join(complement(complement(X0)),X_139)),join(complement(complement(X0)),X_139)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_1458,plain,
( join(complement(complement(X0)),join(complement(complement(X0)),X_139)) != join(complement(complement(X0)),X_139)
| join(complement(complement(X0)),join(X0,X_139)) = join(complement(complement(X0)),X_139) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_1457]) ).
cnf(refute_0_1459,plain,
join(complement(complement(X0)),join(X0,X_139)) = join(complement(complement(X0)),X_139),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),join(complement(complement(X0)),X_139)),join(complement(complement(X0)),X_139)) )],[refute_0_1456,refute_0_1458]) ).
cnf(refute_0_1460,plain,
join(complement(complement(X0)),X_139) = join(complement(complement(X0)),X_139),
introduced(tautology,[refl,[$fot(join(complement(complement(X0)),X_139))]]) ).
cnf(refute_0_1461,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),X_139) != join(complement(complement(X0)),X_139)
| join(complement(complement(X0)),X_139) = join(X0,X_139) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),X_139),join(complement(complement(X0)),X_139)) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1462,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),X_139) = join(X0,X_139) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),X_139),join(complement(complement(X0)),X_139)) )],[refute_0_1460,refute_0_1461]) ).
cnf(refute_0_1463,plain,
join(complement(complement(X0)),X_139) = join(X0,X_139),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_1462]) ).
cnf(refute_0_1464,plain,
join(X0,join(complement(complement(X0)),X_139)) = join(X0,join(complement(complement(X0)),X_139)),
introduced(tautology,[refl,[$fot(join(X0,join(complement(complement(X0)),X_139)))]]) ).
cnf(refute_0_1465,plain,
( join(X0,join(complement(complement(X0)),X_139)) != join(X0,join(complement(complement(X0)),X_139))
| join(complement(complement(X0)),X_139) != join(X0,X_139)
| join(X0,join(complement(complement(X0)),X_139)) = join(X0,join(X0,X_139)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(complement(X0)),X_139)),join(X0,join(complement(complement(X0)),X_139))) ),[1,1],$fot(join(X0,X_139))]]) ).
cnf(refute_0_1466,plain,
( join(complement(complement(X0)),X_139) != join(X0,X_139)
| join(X0,join(complement(complement(X0)),X_139)) = join(X0,join(X0,X_139)) ),
inference(resolve,[$cnf( $equal(join(X0,join(complement(complement(X0)),X_139)),join(X0,join(complement(complement(X0)),X_139))) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
join(X0,join(complement(complement(X0)),X_139)) = join(X0,join(X0,X_139)),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),X_139),join(X0,X_139)) )],[refute_0_1463,refute_0_1466]) ).
cnf(refute_0_1468,plain,
join(complement(complement(X0)),join(X0,X_139)) = join(X0,join(complement(complement(X0)),X_139)),
inference(subst,[],[refute_0_1277:[bind(X_63,$fot(X0)),bind(X_64,$fot(complement(complement(X0)))),bind(X_65,$fot(X_139))]]) ).
cnf(refute_0_1469,plain,
( join(X0,join(complement(complement(X0)),X_139)) != join(X0,join(X0,X_139))
| join(complement(complement(X0)),join(X0,X_139)) != join(X0,join(complement(complement(X0)),X_139))
| join(complement(complement(X0)),join(X0,X_139)) = join(X0,join(X0,X_139)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(X0)),join(X0,X_139)))),bind(Y,$fot(join(X0,join(complement(complement(X0)),X_139)))),bind(Z,$fot(join(X0,join(X0,X_139))))]]) ).
cnf(refute_0_1470,plain,
( join(X0,join(complement(complement(X0)),X_139)) != join(X0,join(X0,X_139))
| join(complement(complement(X0)),join(X0,X_139)) = join(X0,join(X0,X_139)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),join(X0,X_139)),join(X0,join(complement(complement(X0)),X_139))) )],[refute_0_1468,refute_0_1469]) ).
cnf(refute_0_1471,plain,
join(complement(complement(X0)),join(X0,X_139)) = join(X0,join(X0,X_139)),
inference(resolve,[$cnf( $equal(join(X0,join(complement(complement(X0)),X_139)),join(X0,join(X0,X_139))) )],[refute_0_1467,refute_0_1470]) ).
cnf(refute_0_1472,plain,
( join(complement(complement(X0)),join(X0,X_139)) != join(X0,join(X0,X_139))
| join(complement(complement(X0)),join(X0,X_139)) != join(complement(complement(X0)),X_139)
| join(X0,join(X0,X_139)) = join(complement(complement(X0)),X_139) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),join(X0,X_139)),join(complement(complement(X0)),X_139)) ),[0],$fot(join(X0,join(X0,X_139)))]]) ).
cnf(refute_0_1473,plain,
( join(complement(complement(X0)),join(X0,X_139)) != join(complement(complement(X0)),X_139)
| join(X0,join(X0,X_139)) = join(complement(complement(X0)),X_139) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),join(X0,X_139)),join(X0,join(X0,X_139))) )],[refute_0_1471,refute_0_1472]) ).
cnf(refute_0_1474,plain,
( join(X0,join(X0,X_139)) != join(complement(complement(X0)),X_139)
| join(complement(complement(X0)),X_139) != join(X0,X_139)
| join(X0,join(X0,X_139)) = join(X0,X_139) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X0,X_139)),join(X0,X_139)) ),[0],$fot(join(complement(complement(X0)),X_139))]]) ).
cnf(refute_0_1475,plain,
( join(X0,join(X0,X_139)) != join(complement(complement(X0)),X_139)
| join(X0,join(X0,X_139)) = join(X0,X_139) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),X_139),join(X0,X_139)) )],[refute_0_1463,refute_0_1474]) ).
cnf(refute_0_1476,plain,
( join(complement(complement(X0)),join(X0,X_139)) != join(complement(complement(X0)),X_139)
| join(X0,join(X0,X_139)) = join(X0,X_139) ),
inference(resolve,[$cnf( $equal(join(X0,join(X0,X_139)),join(complement(complement(X0)),X_139)) )],[refute_0_1473,refute_0_1475]) ).
cnf(refute_0_1477,plain,
join(X0,join(X0,X_139)) = join(X0,X_139),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),join(X0,X_139)),join(complement(complement(X0)),X_139)) )],[refute_0_1459,refute_0_1476]) ).
cnf(refute_0_1478,plain,
join(one,join(one,X1)) = join(one,X1),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(one)),bind(X_139,$fot(X1))]]) ).
cnf(refute_0_1479,plain,
composition(join(one,join(one,X1)),X2) = composition(join(one,join(one,X1)),X2),
introduced(tautology,[refl,[$fot(composition(join(one,join(one,X1)),X2))]]) ).
cnf(refute_0_1480,plain,
( composition(join(one,join(one,X1)),X2) != composition(join(one,join(one,X1)),X2)
| join(one,join(one,X1)) != join(one,X1)
| composition(join(one,join(one,X1)),X2) = composition(join(one,X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(one,X1)),X2)) ),[1,0],$fot(join(one,X1))]]) ).
cnf(refute_0_1481,plain,
( join(one,join(one,X1)) != join(one,X1)
| composition(join(one,join(one,X1)),X2) = composition(join(one,X1),X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(one,X1)),X2)) )],[refute_0_1479,refute_0_1480]) ).
cnf(refute_0_1482,plain,
composition(join(one,join(one,X1)),X2) = composition(join(one,X1),X2),
inference(resolve,[$cnf( $equal(join(one,join(one,X1)),join(one,X1)) )],[refute_0_1478,refute_0_1481]) ).
cnf(refute_0_1483,plain,
( composition(join(one,join(one,X1)),X2) != composition(join(one,X1),X2)
| composition(join(one,join(one,X1)),X2) != composition(join(one,join(X1,one)),X2)
| composition(join(one,X1),X2) = composition(join(one,join(X1,one)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(X1,one)),X2)) ),[0],$fot(composition(join(one,X1),X2))]]) ).
cnf(refute_0_1484,plain,
( composition(join(one,join(one,X1)),X2) != composition(join(one,join(X1,one)),X2)
| composition(join(one,X1),X2) = composition(join(one,join(X1,one)),X2) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,X1),X2)) )],[refute_0_1482,refute_0_1483]) ).
cnf(refute_0_1485,plain,
composition(join(one,X1),X2) = composition(join(one,join(X1,one)),X2),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,X1)),X2),composition(join(one,join(X1,one)),X2)) )],[refute_0_1455,refute_0_1484]) ).
cnf(refute_0_1486,plain,
( composition(join(one,X1),X2) != composition(join(one,join(X1,one)),X2)
| composition(join(one,join(X1,one)),X2) = composition(join(one,X1),X2) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X1),X2))),bind(Y,$fot(composition(join(one,join(X1,one)),X2)))]]) ).
cnf(refute_0_1487,plain,
composition(join(one,join(X1,one)),X2) = composition(join(one,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(one,X1),X2),composition(join(one,join(X1,one)),X2)) )],[refute_0_1485,refute_0_1486]) ).
cnf(refute_0_1488,plain,
composition(join(one,join(X_108,one)),complement(X_138)) = composition(join(one,X_108),complement(X_138)),
inference(subst,[],[refute_0_1487:[bind(X1,$fot(X_108)),bind(X2,$fot(complement(X_138)))]]) ).
cnf(refute_0_1489,plain,
( composition(join(one,join(X_108,one)),complement(X_138)) != composition(join(X_108,one),complement(X_138))
| composition(join(one,join(X_108,one)),complement(X_138)) != composition(join(one,X_108),complement(X_138))
| composition(join(one,X_108),complement(X_138)) = composition(join(X_108,one),complement(X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,join(X_108,one)),complement(X_138)),composition(join(X_108,one),complement(X_138))) ),[0],$fot(composition(join(one,X_108),complement(X_138)))]]) ).
cnf(refute_0_1490,plain,
( composition(join(one,join(X_108,one)),complement(X_138)) != composition(join(X_108,one),complement(X_138))
| composition(join(one,X_108),complement(X_138)) = composition(join(X_108,one),complement(X_138)) ),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_108,one)),complement(X_138)),composition(join(one,X_108),complement(X_138))) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
composition(join(one,X_108),complement(X_138)) = composition(join(X_108,one),complement(X_138)),
inference(resolve,[$cnf( $equal(composition(join(one,join(X_108,one)),complement(X_138)),composition(join(X_108,one),complement(X_138))) )],[refute_0_1415,refute_0_1490]) ).
cnf(refute_0_1492,plain,
( composition(join(one,X_108),complement(X_138)) != composition(join(X_108,one),complement(X_138))
| composition(join(X_108,one),complement(X_138)) = composition(join(one,X_108),complement(X_138)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X_108),complement(X_138)))),bind(Y,$fot(composition(join(X_108,one),complement(X_138))))]]) ).
cnf(refute_0_1493,plain,
composition(join(X_108,one),complement(X_138)) = composition(join(one,X_108),complement(X_138)),
inference(resolve,[$cnf( $equal(composition(join(one,X_108),complement(X_138)),composition(join(X_108,one),complement(X_138))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
composition(join(converse(top),one),complement(composition(top,X_192))) = composition(join(one,converse(top)),complement(composition(top,X_192))),
inference(subst,[],[refute_0_1493:[bind(X_108,$fot(converse(top))),bind(X_138,$fot(composition(top,X_192)))]]) ).
cnf(refute_0_1495,plain,
join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = composition(join(converse(top),one),complement(composition(top,X_192))),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(converse(top))),bind(X_110,$fot(complement(composition(top,X_192))))]]) ).
cnf(refute_0_1496,plain,
( composition(join(converse(top),one),complement(composition(top,X_192))) != composition(join(one,converse(top)),complement(composition(top,X_192)))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) != composition(join(converse(top),one),complement(composition(top,X_192)))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = composition(join(one,converse(top)),complement(composition(top,X_192))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_192))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_192)))))]]) ).
cnf(refute_0_1497,plain,
( composition(join(converse(top),one),complement(composition(top,X_192))) != composition(join(one,converse(top)),complement(composition(top,X_192)))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = composition(join(one,converse(top)),complement(composition(top,X_192))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))),composition(join(converse(top),one),complement(composition(top,X_192)))) )],[refute_0_1495,refute_0_1496]) ).
cnf(refute_0_1498,plain,
join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = composition(join(one,converse(top)),complement(composition(top,X_192))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_192))),composition(join(one,converse(top)),complement(composition(top,X_192)))) )],[refute_0_1494,refute_0_1497]) ).
cnf(refute_0_1499,plain,
( composition(join(one,converse(top)),complement(composition(top,X_192))) != composition(top,complement(composition(top,X_192)))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) != composition(join(one,converse(top)),complement(composition(top,X_192)))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = composition(top,complement(composition(top,X_192))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_192))))),bind(Z,$fot(composition(top,complement(composition(top,X_192)))))]]) ).
cnf(refute_0_1500,plain,
( composition(join(one,converse(top)),complement(composition(top,X_192))) != composition(top,complement(composition(top,X_192)))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = composition(top,complement(composition(top,X_192))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))),composition(join(one,converse(top)),complement(composition(top,X_192)))) )],[refute_0_1498,refute_0_1499]) ).
cnf(refute_0_1501,plain,
join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) = composition(top,complement(composition(top,X_192))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_192))),composition(top,complement(composition(top,X_192)))) )],[refute_0_1354,refute_0_1500]) ).
cnf(refute_0_1502,plain,
( join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) != complement(composition(top,X_192))
| join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) != composition(top,complement(composition(top,X_192)))
| composition(top,complement(composition(top,X_192))) = complement(composition(top,X_192)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))),complement(composition(top,X_192))) ),[0],$fot(composition(top,complement(composition(top,X_192))))]]) ).
cnf(refute_0_1503,plain,
( join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))) != complement(composition(top,X_192))
| composition(top,complement(composition(top,X_192))) = complement(composition(top,X_192)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))),composition(top,complement(composition(top,X_192)))) )],[refute_0_1501,refute_0_1502]) ).
cnf(refute_0_1504,plain,
composition(top,complement(composition(top,X_192))) = complement(composition(top,X_192)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_192)),composition(converse(top),complement(composition(top,X_192)))),complement(composition(top,X_192))) )],[refute_0_1046,refute_0_1503]) ).
cnf(refute_0_1505,plain,
composition(top,complement(composition(top,converse(composition(top,X_203))))) = complement(composition(top,converse(composition(top,X_203)))),
inference(subst,[],[refute_0_1504:[bind(X_192,$fot(converse(composition(top,X_203))))]]) ).
cnf(refute_0_1506,plain,
( complement(composition(top,converse(composition(top,X_203)))) != complement(converse(composition(top,composition(X_203,top))))
| composition(top,complement(composition(top,converse(composition(top,X_203))))) != complement(composition(top,converse(composition(top,X_203))))
| composition(top,complement(composition(top,converse(composition(top,X_203))))) = complement(converse(composition(top,composition(X_203,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,complement(composition(top,converse(composition(top,X_203))))))),bind(Y,$fot(complement(composition(top,converse(composition(top,X_203)))))),bind(Z,$fot(complement(converse(composition(top,composition(X_203,top))))))]]) ).
cnf(refute_0_1507,plain,
( complement(composition(top,converse(composition(top,X_203)))) != complement(converse(composition(top,composition(X_203,top))))
| composition(top,complement(composition(top,converse(composition(top,X_203))))) = complement(converse(composition(top,composition(X_203,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,converse(composition(top,X_203))))),complement(composition(top,converse(composition(top,X_203))))) )],[refute_0_1505,refute_0_1506]) ).
cnf(refute_0_1508,plain,
composition(top,complement(composition(top,converse(composition(top,X_203))))) = complement(converse(composition(top,composition(X_203,top)))),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(composition(top,X_203)))),complement(converse(composition(top,composition(X_203,top))))) )],[refute_0_1023,refute_0_1507]) ).
cnf(refute_0_1509,plain,
composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) = composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))),
introduced(tautology,[refl,[$fot(composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))))]]) ).
cnf(refute_0_1510,plain,
( composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) != composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203))))))
| composition(top,complement(composition(top,converse(composition(top,X_203))))) != complement(converse(composition(top,composition(X_203,top))))
| composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) = composition(X_203,complement(converse(composition(top,composition(X_203,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))),composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203))))))) ),[1,1],$fot(complement(converse(composition(top,composition(X_203,top)))))]]) ).
cnf(refute_0_1511,plain,
( composition(top,complement(composition(top,converse(composition(top,X_203))))) != complement(converse(composition(top,composition(X_203,top))))
| composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) = composition(X_203,complement(converse(composition(top,composition(X_203,top))))) ),
inference(resolve,[$cnf( $equal(composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))),composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203))))))) )],[refute_0_1509,refute_0_1510]) ).
cnf(refute_0_1512,plain,
composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) = composition(X_203,complement(converse(composition(top,composition(X_203,top))))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,converse(composition(top,X_203))))),complement(converse(composition(top,composition(X_203,top))))) )],[refute_0_1508,refute_0_1511]) ).
cnf(refute_0_1513,plain,
( composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) != composition(X_203,complement(converse(composition(top,composition(X_203,top)))))
| composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) != zero
| composition(X_203,complement(converse(composition(top,composition(X_203,top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))),zero) ),[0],$fot(composition(X_203,complement(converse(composition(top,composition(X_203,top))))))]]) ).
cnf(refute_0_1514,plain,
( composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))) != zero
| composition(X_203,complement(converse(composition(top,composition(X_203,top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))),composition(X_203,complement(converse(composition(top,composition(X_203,top)))))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
composition(X_203,complement(converse(composition(top,composition(X_203,top))))) = zero,
inference(resolve,[$cnf( $equal(composition(X_203,composition(top,complement(composition(top,converse(composition(top,X_203)))))),zero) )],[refute_0_1004,refute_0_1514]) ).
cnf(refute_0_1516,plain,
composition(converse(X0),complement(converse(composition(top,composition(converse(X0),top))))) = zero,
inference(subst,[],[refute_0_1515:[bind(X_203,$fot(converse(X0)))]]) ).
cnf(refute_0_1517,plain,
( composition(converse(X0),complement(converse(composition(top,composition(converse(X0),top))))) != zero
| converse(composition(converse(X0),complement(converse(composition(top,composition(converse(X0),top)))))) != composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)
| converse(zero) = composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),complement(converse(composition(top,composition(converse(X0),top)))))),composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1518,plain,
( converse(composition(converse(X0),complement(converse(composition(top,composition(converse(X0),top)))))) != composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)
| converse(zero) = composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(converse(composition(top,composition(converse(X0),top))))),zero) )],[refute_0_1516,refute_0_1517]) ).
cnf(refute_0_1519,plain,
converse(zero) = composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),complement(converse(composition(top,composition(converse(X0),top)))))),composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)) )],[refute_0_946,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( converse(zero) != composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)
| converse(zero) != zero
| zero = composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)) ),[0],$fot(zero)]]) ).
cnf(refute_0_1521,plain,
( converse(zero) != composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)
| zero = composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_1520]) ).
cnf(refute_0_1522,plain,
composition(converse(top),composition(X0,top)) = composition(converse(top),composition(X0,top)),
introduced(tautology,[refl,[$fot(composition(converse(top),composition(X0,top)))]]) ).
cnf(refute_0_1523,plain,
( composition(converse(top),composition(X0,top)) != composition(converse(top),composition(X0,top))
| converse(top) != top
| composition(converse(top),composition(X0,top)) = composition(top,composition(X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),composition(X0,top)),composition(converse(top),composition(X0,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1524,plain,
( converse(top) != top
| composition(converse(top),composition(X0,top)) = composition(top,composition(X0,top)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(X0,top)),composition(converse(top),composition(X0,top))) )],[refute_0_1522,refute_0_1523]) ).
cnf(refute_0_1525,plain,
composition(converse(top),composition(X0,top)) = composition(top,composition(X0,top)),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_1524]) ).
cnf(refute_0_1526,plain,
converse(composition(top,composition(converse(X0),X_14))) = composition(converse(composition(converse(X0),X_14)),top),
inference(subst,[],[refute_0_978:[bind(X_14,$fot(composition(converse(X0),X_14)))]]) ).
cnf(refute_0_1527,plain,
( converse(composition(converse(X0),X_14)) != composition(converse(X_14),X0)
| converse(composition(top,composition(converse(X0),X_14))) != composition(converse(composition(converse(X0),X_14)),top)
| converse(composition(top,composition(converse(X0),X_14))) = composition(composition(converse(X_14),X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(converse(X0),X_14))),composition(converse(composition(converse(X0),X_14)),top)) ),[1,0],$fot(composition(converse(X_14),X0))]]) ).
cnf(refute_0_1528,plain,
( converse(composition(top,composition(converse(X0),X_14))) != composition(converse(composition(converse(X0),X_14)),top)
| converse(composition(top,composition(converse(X0),X_14))) = composition(composition(converse(X_14),X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_14)),composition(converse(X_14),X0)) )],[refute_0_62,refute_0_1527]) ).
cnf(refute_0_1529,plain,
converse(composition(top,composition(converse(X0),X_14))) = composition(composition(converse(X_14),X0),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X0),X_14))),composition(converse(composition(converse(X0),X_14)),top)) )],[refute_0_1526,refute_0_1528]) ).
cnf(refute_0_1530,plain,
composition(composition(converse(X_14),X0),top) = composition(converse(X_14),composition(X0,top)),
inference(subst,[],[refute_0_954:[bind(X0,$fot(converse(X_14))),bind(X1,$fot(X0)),bind(X2,$fot(top))]]) ).
cnf(refute_0_1531,plain,
( composition(composition(converse(X_14),X0),top) != composition(converse(X_14),composition(X0,top))
| converse(composition(top,composition(converse(X0),X_14))) != composition(composition(converse(X_14),X0),top)
| converse(composition(top,composition(converse(X0),X_14))) = composition(converse(X_14),composition(X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(converse(X0),X_14))),composition(composition(converse(X_14),X0),top)) ),[1],$fot(composition(converse(X_14),composition(X0,top)))]]) ).
cnf(refute_0_1532,plain,
( converse(composition(top,composition(converse(X0),X_14))) != composition(composition(converse(X_14),X0),top)
| converse(composition(top,composition(converse(X0),X_14))) = composition(converse(X_14),composition(X0,top)) ),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_14),X0),top),composition(converse(X_14),composition(X0,top))) )],[refute_0_1530,refute_0_1531]) ).
cnf(refute_0_1533,plain,
converse(composition(top,composition(converse(X0),X_14))) = composition(converse(X_14),composition(X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X0),X_14))),composition(composition(converse(X_14),X0),top)) )],[refute_0_1529,refute_0_1532]) ).
cnf(refute_0_1534,plain,
converse(composition(top,composition(converse(X0),top))) = composition(converse(top),composition(X0,top)),
inference(subst,[],[refute_0_1533:[bind(X_14,$fot(top))]]) ).
cnf(refute_0_1535,plain,
( composition(converse(top),composition(X0,top)) != composition(top,composition(X0,top))
| converse(composition(top,composition(converse(X0),top))) != composition(converse(top),composition(X0,top))
| converse(composition(top,composition(converse(X0),top))) = composition(top,composition(X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,composition(converse(X0),top))))),bind(Y,$fot(composition(converse(top),composition(X0,top)))),bind(Z,$fot(composition(top,composition(X0,top))))]]) ).
cnf(refute_0_1536,plain,
( composition(converse(top),composition(X0,top)) != composition(top,composition(X0,top))
| converse(composition(top,composition(converse(X0),top))) = composition(top,composition(X0,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X0),top))),composition(converse(top),composition(X0,top))) )],[refute_0_1534,refute_0_1535]) ).
cnf(refute_0_1537,plain,
converse(composition(top,composition(converse(X0),top))) = composition(top,composition(X0,top)),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(X0,top)),composition(top,composition(X0,top))) )],[refute_0_1525,refute_0_1536]) ).
cnf(refute_0_1538,plain,
complement(converse(composition(top,composition(converse(X0),top)))) = complement(converse(composition(top,composition(converse(X0),top)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(converse(X0),top)))))]]) ).
cnf(refute_0_1539,plain,
( complement(converse(composition(top,composition(converse(X0),top)))) != complement(converse(composition(top,composition(converse(X0),top))))
| converse(composition(top,composition(converse(X0),top))) != composition(top,composition(X0,top))
| complement(converse(composition(top,composition(converse(X0),top)))) = complement(composition(top,composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,composition(converse(X0),top)))),complement(converse(composition(top,composition(converse(X0),top))))) ),[1,0],$fot(composition(top,composition(X0,top)))]]) ).
cnf(refute_0_1540,plain,
( converse(composition(top,composition(converse(X0),top))) != composition(top,composition(X0,top))
| complement(converse(composition(top,composition(converse(X0),top)))) = complement(composition(top,composition(X0,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(converse(X0),top)))),complement(converse(composition(top,composition(converse(X0),top))))) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
complement(converse(composition(top,composition(converse(X0),top)))) = complement(composition(top,composition(X0,top))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(converse(X0),top))),composition(top,composition(X0,top))) )],[refute_0_1537,refute_0_1540]) ).
cnf(refute_0_1542,plain,
converse(complement(converse(composition(top,composition(converse(X0),top))))) = converse(complement(converse(composition(top,composition(converse(X0),top))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(composition(top,composition(converse(X0),top))))))]]) ).
cnf(refute_0_1543,plain,
( complement(converse(composition(top,composition(converse(X0),top)))) != complement(composition(top,composition(X0,top)))
| converse(complement(converse(composition(top,composition(converse(X0),top))))) != converse(complement(converse(composition(top,composition(converse(X0),top)))))
| converse(complement(converse(composition(top,composition(converse(X0),top))))) = converse(complement(composition(top,composition(X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(top,composition(converse(X0),top))))),converse(complement(converse(composition(top,composition(converse(X0),top)))))) ),[1,0],$fot(complement(composition(top,composition(X0,top))))]]) ).
cnf(refute_0_1544,plain,
( complement(converse(composition(top,composition(converse(X0),top)))) != complement(composition(top,composition(X0,top)))
| converse(complement(converse(composition(top,composition(converse(X0),top))))) = converse(complement(composition(top,composition(X0,top)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,composition(converse(X0),top))))),converse(complement(converse(composition(top,composition(converse(X0),top)))))) )],[refute_0_1542,refute_0_1543]) ).
cnf(refute_0_1545,plain,
converse(complement(converse(composition(top,composition(converse(X0),top))))) = converse(complement(composition(top,composition(X0,top)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(converse(X0),top)))),complement(composition(top,composition(X0,top)))) )],[refute_0_1541,refute_0_1544]) ).
cnf(refute_0_1546,plain,
composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) = composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0),
introduced(tautology,[refl,[$fot(composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0))]]) ).
cnf(refute_0_1547,plain,
( composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) != composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)
| converse(complement(converse(composition(top,composition(converse(X0),top))))) != converse(complement(composition(top,composition(X0,top))))
| composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) = composition(converse(complement(composition(top,composition(X0,top)))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0),composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)) ),[1,0],$fot(converse(complement(composition(top,composition(X0,top)))))]]) ).
cnf(refute_0_1548,plain,
( converse(complement(converse(composition(top,composition(converse(X0),top))))) != converse(complement(composition(top,composition(X0,top))))
| composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) = composition(converse(complement(composition(top,composition(X0,top)))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0),composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) = composition(converse(complement(composition(top,composition(X0,top)))),X0),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,composition(converse(X0),top))))),converse(complement(composition(top,composition(X0,top))))) )],[refute_0_1545,refute_0_1548]) ).
cnf(refute_0_1550,plain,
( composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0) != composition(converse(complement(composition(top,composition(X0,top)))),X0)
| zero != composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)
| zero = composition(converse(complement(composition(top,composition(X0,top)))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)) ),[1],$fot(composition(converse(complement(composition(top,composition(X0,top)))),X0))]]) ).
cnf(refute_0_1551,plain,
( zero != composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)
| zero = composition(converse(complement(composition(top,composition(X0,top)))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0),composition(converse(complement(composition(top,composition(X0,top)))),X0)) )],[refute_0_1549,refute_0_1550]) ).
cnf(refute_0_1552,plain,
( converse(zero) != composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)
| zero = composition(converse(complement(composition(top,composition(X0,top)))),X0) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)) )],[refute_0_1521,refute_0_1551]) ).
cnf(refute_0_1553,plain,
zero = composition(converse(complement(composition(top,composition(X0,top)))),X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(converse(composition(top,composition(converse(X0),top))))),X0)) )],[refute_0_1519,refute_0_1552]) ).
cnf(refute_0_1554,plain,
zero = composition(converse(complement(composition(top,composition(X_354,top)))),X_354),
inference(subst,[],[refute_0_1553:[bind(X0,$fot(X_354))]]) ).
cnf(refute_0_1555,plain,
( zero != composition(converse(complement(composition(top,composition(X_354,top)))),X_354)
| composition(converse(complement(composition(top,composition(X_354,top)))),X_354) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(top,composition(X_354,top)))),X_354)))]]) ).
cnf(refute_0_1556,plain,
composition(converse(complement(composition(top,composition(X_354,top)))),X_354) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,composition(X_354,top)))),X_354)) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
( X_354 != join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(composition(converse(complement(composition(top,composition(X_354,top)))),X_354)))))
| composition(converse(complement(composition(top,composition(X_354,top)))),X_354) != zero
| X_354 = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_354,join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(composition(converse(complement(composition(top,composition(X_354,top)))),X_354)))))) ),[1,1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1558,plain,
( X_354 != join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(composition(converse(complement(composition(top,composition(X_354,top)))),X_354)))))
| X_354 = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,composition(X_354,top)))),X_354),zero) )],[refute_0_1556,refute_0_1557]) ).
cnf(refute_0_1559,plain,
X_354 = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))),
inference(resolve,[$cnf( $equal(X_354,join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(composition(converse(complement(composition(top,composition(X_354,top)))),X_354)))))) )],[refute_0_945,refute_0_1558]) ).
cnf(refute_0_1560,plain,
composition(complement(composition(top,composition(X_354,top))),complement(zero)) = composition(complement(composition(top,composition(X_354,top))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,composition(X_354,top))),complement(zero)))]]) ).
cnf(refute_0_1561,plain,
( complement(zero) != top
| composition(complement(composition(top,composition(X_354,top))),complement(zero)) != composition(complement(composition(top,composition(X_354,top))),complement(zero))
| composition(complement(composition(top,composition(X_354,top))),complement(zero)) = composition(complement(composition(top,composition(X_354,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,composition(X_354,top))),complement(zero)),composition(complement(composition(top,composition(X_354,top))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1562,plain,
( complement(zero) != top
| composition(complement(composition(top,composition(X_354,top))),complement(zero)) = composition(complement(composition(top,composition(X_354,top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(X_354,top))),complement(zero)),composition(complement(composition(top,composition(X_354,top))),complement(zero))) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
composition(complement(composition(top,composition(X_354,top))),complement(zero)) = composition(complement(composition(top,composition(X_354,top))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_1562]) ).
cnf(refute_0_1564,plain,
meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))) = meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))),
introduced(tautology,[refl,[$fot(meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))))]]) ).
cnf(refute_0_1565,plain,
( composition(complement(composition(top,composition(X_354,top))),complement(zero)) != composition(complement(composition(top,composition(X_354,top))),top)
| meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))) != meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))
| meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))) = meet(X_354,composition(complement(composition(top,composition(X_354,top))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))),meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(top,composition(X_354,top))),top))]]) ).
cnf(refute_0_1566,plain,
( composition(complement(composition(top,composition(X_354,top))),complement(zero)) != composition(complement(composition(top,composition(X_354,top))),top)
| meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))) = meet(X_354,composition(complement(composition(top,composition(X_354,top))),top)) ),
inference(resolve,[$cnf( $equal(meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))),meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))) = meet(X_354,composition(complement(composition(top,composition(X_354,top))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,composition(X_354,top))),complement(zero)),composition(complement(composition(top,composition(X_354,top))),top)) )],[refute_0_1563,refute_0_1566]) ).
cnf(refute_0_1568,plain,
join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))),
introduced(tautology,[refl,[$fot(join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))))]]) ).
cnf(refute_0_1569,plain,
( join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) != join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))))
| meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))) != meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))
| join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))),join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))))) ),[1,1],$fot(meet(X_354,composition(complement(composition(top,composition(X_354,top))),top)))]]) ).
cnf(refute_0_1570,plain,
( meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))) != meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))
| join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))) ),
inference(resolve,[$cnf( $equal(join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))),join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))),
inference(resolve,[$cnf( $equal(meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))),meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))) )],[refute_0_1567,refute_0_1570]) ).
cnf(refute_0_1572,plain,
( X_354 != join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))))
| join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))) != join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top)))
| X_354 = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_354,join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top)))) ),[0],$fot(join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))))]]) ).
cnf(refute_0_1573,plain,
( X_354 != join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))))
| X_354 = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))) ),
inference(resolve,[$cnf( $equal(join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero)))),join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top)))) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
X_354 = join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),top))),
inference(resolve,[$cnf( $equal(X_354,join(X_354,meet(X_354,composition(complement(composition(top,composition(X_354,top))),complement(zero))))) )],[refute_0_1559,refute_0_1573]) ).
cnf(refute_0_1575,plain,
join(X_260,converse(join(X_6,one))) = join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,composition(join(X_260,converse(join(X_6,one))),top))),top))),
inference(subst,[],[refute_0_1574:[bind(X_354,$fot(join(X_260,converse(join(X_6,one)))))]]) ).
cnf(refute_0_1576,plain,
converse(composition(X_13,join(converse(X0),X_7))) = composition(converse(join(converse(X0),X_7)),converse(X_13)),
inference(subst,[],[refute_0_57:[bind(X0,$fot(X_13)),bind(X1,$fot(join(converse(X0),X_7)))]]) ).
cnf(refute_0_1577,plain,
( converse(composition(X_13,join(converse(X0),X_7))) != composition(converse(join(converse(X0),X_7)),converse(X_13))
| converse(join(converse(X0),X_7)) != join(X0,converse(X_7))
| converse(composition(X_13,join(converse(X0),X_7))) = composition(join(X0,converse(X_7)),converse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_13,join(converse(X0),X_7))),composition(converse(join(converse(X0),X_7)),converse(X_13))) ),[1,0],$fot(join(X0,converse(X_7)))]]) ).
cnf(refute_0_1578,plain,
( converse(composition(X_13,join(converse(X0),X_7))) != composition(converse(join(converse(X0),X_7)),converse(X_13))
| converse(composition(X_13,join(converse(X0),X_7))) = composition(join(X0,converse(X_7)),converse(X_13)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_7)),join(X0,converse(X_7))) )],[refute_0_413,refute_0_1577]) ).
cnf(refute_0_1579,plain,
converse(composition(X_13,join(converse(X0),X_7))) = composition(join(X0,converse(X_7)),converse(X_13)),
inference(resolve,[$cnf( $equal(converse(composition(X_13,join(converse(X0),X_7))),composition(converse(join(converse(X0),X_7)),converse(X_13))) )],[refute_0_1576,refute_0_1578]) ).
cnf(refute_0_1580,plain,
converse(composition(top,join(converse(X_185),X_187))) = composition(join(X_185,converse(X_187)),converse(top)),
inference(subst,[],[refute_0_1579:[bind(X0,$fot(X_185)),bind(X_13,$fot(top)),bind(X_7,$fot(X_187))]]) ).
cnf(refute_0_1581,plain,
( converse(composition(top,join(converse(X_185),X_187))) != composition(join(X_185,converse(X_187)),converse(top))
| converse(top) != top
| converse(composition(top,join(converse(X_185),X_187))) = composition(join(X_185,converse(X_187)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(converse(X_185),X_187))),composition(join(X_185,converse(X_187)),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1582,plain,
( converse(composition(top,join(converse(X_185),X_187))) != composition(join(X_185,converse(X_187)),converse(top))
| converse(composition(top,join(converse(X_185),X_187))) = composition(join(X_185,converse(X_187)),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_1581]) ).
cnf(refute_0_1583,plain,
converse(composition(top,join(converse(X_185),X_187))) = composition(join(X_185,converse(X_187)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(converse(X_185),X_187))),composition(join(X_185,converse(X_187)),converse(top))) )],[refute_0_1580,refute_0_1582]) ).
cnf(refute_0_1584,plain,
converse(composition(top,join(converse(X_260),join(one,X_6)))) = composition(join(X_260,converse(join(one,X_6))),top),
inference(subst,[],[refute_0_1583:[bind(X_185,$fot(X_260)),bind(X_187,$fot(join(one,X_6)))]]) ).
cnf(refute_0_1585,plain,
( converse(join(X_6,one)) != converse(join(one,X_6))
| converse(join(one,X_6)) = converse(join(X_6,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_6,one)))),bind(Y,$fot(converse(join(one,X_6))))]]) ).
cnf(refute_0_1586,plain,
converse(join(one,X_6)) = converse(join(X_6,one)),
inference(resolve,[$cnf( $equal(converse(join(X_6,one)),converse(join(one,X_6))) )],[refute_0_789,refute_0_1585]) ).
cnf(refute_0_1587,plain,
( converse(composition(top,join(converse(X_260),join(one,X_6)))) != composition(join(X_260,converse(join(one,X_6))),top)
| converse(join(one,X_6)) != converse(join(X_6,one))
| converse(composition(top,join(converse(X_260),join(one,X_6)))) = composition(join(X_260,converse(join(X_6,one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(converse(X_260),join(one,X_6)))),composition(join(X_260,converse(join(one,X_6))),top)) ),[1,0,1],$fot(converse(join(X_6,one)))]]) ).
cnf(refute_0_1588,plain,
( converse(composition(top,join(converse(X_260),join(one,X_6)))) != composition(join(X_260,converse(join(one,X_6))),top)
| converse(composition(top,join(converse(X_260),join(one,X_6)))) = composition(join(X_260,converse(join(X_6,one))),top) ),
inference(resolve,[$cnf( $equal(converse(join(one,X_6)),converse(join(X_6,one))) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
converse(composition(top,join(converse(X_260),join(one,X_6)))) = composition(join(X_260,converse(join(X_6,one))),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(converse(X_260),join(one,X_6)))),composition(join(X_260,converse(join(one,X_6))),top)) )],[refute_0_1584,refute_0_1588]) ).
cnf(refute_0_1590,plain,
composition(join(X0,converse(join(one,X_125))),top) = join(composition(X0,top),composition(converse(join(one,X_125)),top)),
inference(subst,[],[refute_0_452:[bind(X1,$fot(converse(join(one,X_125)))),bind(X2,$fot(top))]]) ).
cnf(refute_0_1591,plain,
composition(converse(join(one,X_125)),top) = top,
inference(subst,[],[refute_0_744:[bind(X0,$fot(X_125))]]) ).
cnf(refute_0_1592,plain,
( composition(converse(join(one,X_125)),top) != top
| composition(join(X0,converse(join(one,X_125))),top) != join(composition(X0,top),composition(converse(join(one,X_125)),top))
| composition(join(X0,converse(join(one,X_125))),top) = join(composition(X0,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,converse(join(one,X_125))),top),join(composition(X0,top),composition(converse(join(one,X_125)),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1593,plain,
( composition(join(X0,converse(join(one,X_125))),top) != join(composition(X0,top),composition(converse(join(one,X_125)),top))
| composition(join(X0,converse(join(one,X_125))),top) = join(composition(X0,top),top) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,X_125)),top),top) )],[refute_0_1591,refute_0_1592]) ).
cnf(refute_0_1594,plain,
composition(join(X0,converse(join(one,X_125))),top) = join(composition(X0,top),top),
inference(resolve,[$cnf( $equal(composition(join(X0,converse(join(one,X_125))),top),join(composition(X0,top),composition(converse(join(one,X_125)),top))) )],[refute_0_1590,refute_0_1593]) ).
cnf(refute_0_1595,plain,
join(complement(zero),composition(X_81,complement(composition(converse(X_81),zero)))) = complement(zero),
inference(subst,[],[refute_0_458:[bind(X0,$fot(X_81)),bind(X_21,$fot(zero))]]) ).
cnf(refute_0_1596,plain,
( complement(zero) != top
| join(complement(zero),composition(X_81,complement(composition(converse(X_81),zero)))) != complement(zero)
| join(top,composition(X_81,complement(composition(converse(X_81),zero)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(X_81,complement(composition(converse(X_81),zero)))),complement(zero)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1597,plain,
( join(complement(zero),composition(X_81,complement(composition(converse(X_81),zero)))) != complement(zero)
| join(top,composition(X_81,complement(composition(converse(X_81),zero)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_1596]) ).
cnf(refute_0_1598,plain,
join(top,composition(X_81,complement(composition(converse(X_81),zero)))) = complement(zero),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(X_81,complement(composition(converse(X_81),zero)))),complement(zero)) )],[refute_0_1595,refute_0_1597]) ).
cnf(refute_0_1599,plain,
converse(composition(converse(zero),X_14)) = composition(converse(X_14),zero),
inference(subst,[],[refute_0_62:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1600,plain,
( converse(composition(converse(zero),X_14)) != composition(converse(X_14),zero)
| converse(zero) != zero
| converse(composition(zero,X_14)) = composition(converse(X_14),zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(zero),X_14)),composition(converse(X_14),zero)) ),[0,0,0],$fot(zero)]]) ).
cnf(refute_0_1601,plain,
( converse(composition(converse(zero),X_14)) != composition(converse(X_14),zero)
| converse(composition(zero,X_14)) = composition(converse(X_14),zero) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_1600]) ).
cnf(refute_0_1602,plain,
converse(composition(zero,X_14)) = composition(converse(X_14),zero),
inference(resolve,[$cnf( $equal(converse(composition(converse(zero),X_14)),composition(converse(X_14),zero)) )],[refute_0_1599,refute_0_1601]) ).
cnf(refute_0_1603,plain,
( converse(composition(zero,X_14)) != composition(converse(X_14),zero)
| composition(converse(X_14),zero) = converse(composition(zero,X_14)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(zero,X_14)))),bind(Y,$fot(composition(converse(X_14),zero)))]]) ).
cnf(refute_0_1604,plain,
composition(converse(X_14),zero) = converse(composition(zero,X_14)),
inference(resolve,[$cnf( $equal(converse(composition(zero,X_14)),composition(converse(X_14),zero)) )],[refute_0_1602,refute_0_1603]) ).
cnf(refute_0_1605,plain,
composition(converse(X_81),zero) = converse(composition(zero,X_81)),
inference(subst,[],[refute_0_1604:[bind(X_14,$fot(X_81))]]) ).
cnf(refute_0_1606,plain,
complement(composition(converse(X_81),zero)) = complement(composition(converse(X_81),zero)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X_81),zero)))]]) ).
cnf(refute_0_1607,plain,
( complement(composition(converse(X_81),zero)) != complement(composition(converse(X_81),zero))
| composition(converse(X_81),zero) != converse(composition(zero,X_81))
| complement(composition(converse(X_81),zero)) = complement(converse(composition(zero,X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X_81),zero)),complement(composition(converse(X_81),zero))) ),[1,0],$fot(converse(composition(zero,X_81)))]]) ).
cnf(refute_0_1608,plain,
( composition(converse(X_81),zero) != converse(composition(zero,X_81))
| complement(composition(converse(X_81),zero)) = complement(converse(composition(zero,X_81))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_81),zero)),complement(composition(converse(X_81),zero))) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
complement(composition(converse(X_81),zero)) = complement(converse(composition(zero,X_81))),
inference(resolve,[$cnf( $equal(composition(converse(X_81),zero),converse(composition(zero,X_81))) )],[refute_0_1605,refute_0_1608]) ).
cnf(refute_0_1610,plain,
composition(X_81,complement(composition(converse(X_81),zero))) = composition(X_81,complement(composition(converse(X_81),zero))),
introduced(tautology,[refl,[$fot(composition(X_81,complement(composition(converse(X_81),zero))))]]) ).
cnf(refute_0_1611,plain,
( complement(composition(converse(X_81),zero)) != complement(converse(composition(zero,X_81)))
| composition(X_81,complement(composition(converse(X_81),zero))) != composition(X_81,complement(composition(converse(X_81),zero)))
| composition(X_81,complement(composition(converse(X_81),zero))) = composition(X_81,complement(converse(composition(zero,X_81)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),zero))),composition(X_81,complement(composition(converse(X_81),zero)))) ),[1,1],$fot(complement(converse(composition(zero,X_81))))]]) ).
cnf(refute_0_1612,plain,
( complement(composition(converse(X_81),zero)) != complement(converse(composition(zero,X_81)))
| composition(X_81,complement(composition(converse(X_81),zero))) = composition(X_81,complement(converse(composition(zero,X_81)))) ),
inference(resolve,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),zero))),composition(X_81,complement(composition(converse(X_81),zero)))) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
composition(X_81,complement(composition(converse(X_81),zero))) = composition(X_81,complement(converse(composition(zero,X_81)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_81),zero)),complement(converse(composition(zero,X_81)))) )],[refute_0_1609,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(top,composition(X_81,complement(composition(converse(X_81),zero)))) = join(top,composition(X_81,complement(composition(converse(X_81),zero)))),
introduced(tautology,[refl,[$fot(join(top,composition(X_81,complement(composition(converse(X_81),zero)))))]]) ).
cnf(refute_0_1615,plain,
( composition(X_81,complement(composition(converse(X_81),zero))) != composition(X_81,complement(converse(composition(zero,X_81))))
| join(top,composition(X_81,complement(composition(converse(X_81),zero)))) != join(top,composition(X_81,complement(composition(converse(X_81),zero))))
| join(top,composition(X_81,complement(composition(converse(X_81),zero)))) = join(top,composition(X_81,complement(converse(composition(zero,X_81))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,composition(X_81,complement(composition(converse(X_81),zero)))),join(top,composition(X_81,complement(composition(converse(X_81),zero))))) ),[1,1],$fot(composition(X_81,complement(converse(composition(zero,X_81)))))]]) ).
cnf(refute_0_1616,plain,
( composition(X_81,complement(composition(converse(X_81),zero))) != composition(X_81,complement(converse(composition(zero,X_81))))
| join(top,composition(X_81,complement(composition(converse(X_81),zero)))) = join(top,composition(X_81,complement(converse(composition(zero,X_81))))) ),
inference(resolve,[$cnf( $equal(join(top,composition(X_81,complement(composition(converse(X_81),zero)))),join(top,composition(X_81,complement(composition(converse(X_81),zero))))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
join(top,composition(X_81,complement(composition(converse(X_81),zero)))) = join(top,composition(X_81,complement(converse(composition(zero,X_81))))),
inference(resolve,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),zero))),composition(X_81,complement(converse(composition(zero,X_81))))) )],[refute_0_1613,refute_0_1616]) ).
cnf(refute_0_1618,plain,
( join(top,composition(X_81,complement(composition(converse(X_81),zero)))) != complement(zero)
| join(top,composition(X_81,complement(composition(converse(X_81),zero)))) != join(top,composition(X_81,complement(converse(composition(zero,X_81)))))
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,composition(X_81,complement(composition(converse(X_81),zero)))),complement(zero)) ),[0],$fot(join(top,composition(X_81,complement(converse(composition(zero,X_81))))))]]) ).
cnf(refute_0_1619,plain,
( join(top,composition(X_81,complement(composition(converse(X_81),zero)))) != complement(zero)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(top,composition(X_81,complement(composition(converse(X_81),zero)))),join(top,composition(X_81,complement(converse(composition(zero,X_81)))))) )],[refute_0_1617,refute_0_1618]) ).
cnf(refute_0_1620,plain,
( complement(zero) != top
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) != complement(zero)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,composition(X_81,complement(converse(composition(zero,X_81))))),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_1621,plain,
( join(top,composition(X_81,complement(converse(composition(zero,X_81))))) != complement(zero)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_1620]) ).
cnf(refute_0_1622,plain,
( join(top,composition(X_81,complement(composition(converse(X_81),zero)))) != complement(zero)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = top ),
inference(resolve,[$cnf( $equal(join(top,composition(X_81,complement(converse(composition(zero,X_81))))),complement(zero)) )],[refute_0_1619,refute_0_1621]) ).
cnf(refute_0_1623,plain,
join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = top,
inference(resolve,[$cnf( $equal(join(top,composition(X_81,complement(composition(converse(X_81),zero)))),complement(zero)) )],[refute_0_1598,refute_0_1622]) ).
cnf(refute_0_1624,plain,
join(top,composition(X_81,top)) = composition(join(X_81,one),top),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(X_81)),bind(X_110,$fot(top))]]) ).
cnf(refute_0_1625,plain,
( zero != composition(zero,X_122)
| composition(zero,X_122) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,X_122)))]]) ).
cnf(refute_0_1626,plain,
composition(zero,X_122) = zero,
inference(resolve,[$cnf( $equal(zero,composition(zero,X_122)) )],[refute_0_586,refute_0_1625]) ).
cnf(refute_0_1627,plain,
composition(zero,X_81) = zero,
inference(subst,[],[refute_0_1626:[bind(X_122,$fot(X_81))]]) ).
cnf(refute_0_1628,plain,
converse(composition(zero,X_81)) = converse(composition(zero,X_81)),
introduced(tautology,[refl,[$fot(converse(composition(zero,X_81)))]]) ).
cnf(refute_0_1629,plain,
( composition(zero,X_81) != zero
| converse(composition(zero,X_81)) != converse(composition(zero,X_81))
| converse(composition(zero,X_81)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(zero,X_81)),converse(composition(zero,X_81))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1630,plain,
( composition(zero,X_81) != zero
| converse(composition(zero,X_81)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(composition(zero,X_81)),converse(composition(zero,X_81))) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
converse(composition(zero,X_81)) = converse(zero),
inference(resolve,[$cnf( $equal(composition(zero,X_81),zero) )],[refute_0_1627,refute_0_1630]) ).
cnf(refute_0_1632,plain,
( converse(composition(zero,X_81)) != converse(zero)
| converse(zero) != zero
| converse(composition(zero,X_81)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(zero,X_81)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1633,plain,
( converse(zero) != zero
| converse(composition(zero,X_81)) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(zero,X_81)),converse(zero)) )],[refute_0_1631,refute_0_1632]) ).
cnf(refute_0_1634,plain,
converse(composition(zero,X_81)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_1633]) ).
cnf(refute_0_1635,plain,
complement(converse(composition(zero,X_81))) = complement(converse(composition(zero,X_81))),
introduced(tautology,[refl,[$fot(complement(converse(composition(zero,X_81))))]]) ).
cnf(refute_0_1636,plain,
( complement(converse(composition(zero,X_81))) != complement(converse(composition(zero,X_81)))
| converse(composition(zero,X_81)) != zero
| complement(converse(composition(zero,X_81))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(zero,X_81))),complement(converse(composition(zero,X_81)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1637,plain,
( converse(composition(zero,X_81)) != zero
| complement(converse(composition(zero,X_81))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(zero,X_81))),complement(converse(composition(zero,X_81)))) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
complement(converse(composition(zero,X_81))) = complement(zero),
inference(resolve,[$cnf( $equal(converse(composition(zero,X_81)),zero) )],[refute_0_1634,refute_0_1637]) ).
cnf(refute_0_1639,plain,
( complement(converse(composition(zero,X_81))) != complement(zero)
| complement(zero) != top
| complement(converse(composition(zero,X_81))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(composition(zero,X_81))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1640,plain,
( complement(zero) != top
| complement(converse(composition(zero,X_81))) = top ),
inference(resolve,[$cnf( $equal(complement(converse(composition(zero,X_81))),complement(zero)) )],[refute_0_1638,refute_0_1639]) ).
cnf(refute_0_1641,plain,
complement(converse(composition(zero,X_81))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_1640]) ).
cnf(refute_0_1642,plain,
composition(X_81,complement(converse(composition(zero,X_81)))) = composition(X_81,complement(converse(composition(zero,X_81)))),
introduced(tautology,[refl,[$fot(composition(X_81,complement(converse(composition(zero,X_81)))))]]) ).
cnf(refute_0_1643,plain,
( complement(converse(composition(zero,X_81))) != top
| composition(X_81,complement(converse(composition(zero,X_81)))) != composition(X_81,complement(converse(composition(zero,X_81))))
| composition(X_81,complement(converse(composition(zero,X_81)))) = composition(X_81,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_81,complement(converse(composition(zero,X_81)))),composition(X_81,complement(converse(composition(zero,X_81))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1644,plain,
( complement(converse(composition(zero,X_81))) != top
| composition(X_81,complement(converse(composition(zero,X_81)))) = composition(X_81,top) ),
inference(resolve,[$cnf( $equal(composition(X_81,complement(converse(composition(zero,X_81)))),composition(X_81,complement(converse(composition(zero,X_81))))) )],[refute_0_1642,refute_0_1643]) ).
cnf(refute_0_1645,plain,
composition(X_81,complement(converse(composition(zero,X_81)))) = composition(X_81,top),
inference(resolve,[$cnf( $equal(complement(converse(composition(zero,X_81))),top) )],[refute_0_1641,refute_0_1644]) ).
cnf(refute_0_1646,plain,
join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = join(top,composition(X_81,complement(converse(composition(zero,X_81))))),
introduced(tautology,[refl,[$fot(join(top,composition(X_81,complement(converse(composition(zero,X_81))))))]]) ).
cnf(refute_0_1647,plain,
( composition(X_81,complement(converse(composition(zero,X_81)))) != composition(X_81,top)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) != join(top,composition(X_81,complement(converse(composition(zero,X_81)))))
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = join(top,composition(X_81,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,composition(X_81,complement(converse(composition(zero,X_81))))),join(top,composition(X_81,complement(converse(composition(zero,X_81)))))) ),[1,1],$fot(composition(X_81,top))]]) ).
cnf(refute_0_1648,plain,
( composition(X_81,complement(converse(composition(zero,X_81)))) != composition(X_81,top)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = join(top,composition(X_81,top)) ),
inference(resolve,[$cnf( $equal(join(top,composition(X_81,complement(converse(composition(zero,X_81))))),join(top,composition(X_81,complement(converse(composition(zero,X_81)))))) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = join(top,composition(X_81,top)),
inference(resolve,[$cnf( $equal(composition(X_81,complement(converse(composition(zero,X_81)))),composition(X_81,top)) )],[refute_0_1645,refute_0_1648]) ).
cnf(refute_0_1650,plain,
( join(top,composition(X_81,complement(converse(composition(zero,X_81))))) != join(top,composition(X_81,top))
| join(top,composition(X_81,top)) != composition(join(X_81,one),top)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = composition(join(X_81,one),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(top,composition(X_81,complement(converse(composition(zero,X_81))))))),bind(Y,$fot(join(top,composition(X_81,top)))),bind(Z,$fot(composition(join(X_81,one),top)))]]) ).
cnf(refute_0_1651,plain,
( join(top,composition(X_81,top)) != composition(join(X_81,one),top)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = composition(join(X_81,one),top) ),
inference(resolve,[$cnf( $equal(join(top,composition(X_81,complement(converse(composition(zero,X_81))))),join(top,composition(X_81,top))) )],[refute_0_1649,refute_0_1650]) ).
cnf(refute_0_1652,plain,
join(top,composition(X_81,complement(converse(composition(zero,X_81))))) = composition(join(X_81,one),top),
inference(resolve,[$cnf( $equal(join(top,composition(X_81,top)),composition(join(X_81,one),top)) )],[refute_0_1624,refute_0_1651]) ).
cnf(refute_0_1653,plain,
( join(top,composition(X_81,complement(converse(composition(zero,X_81))))) != composition(join(X_81,one),top)
| join(top,composition(X_81,complement(converse(composition(zero,X_81))))) != top
| composition(join(X_81,one),top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,composition(X_81,complement(converse(composition(zero,X_81))))),top) ),[0],$fot(composition(join(X_81,one),top))]]) ).
cnf(refute_0_1654,plain,
( join(top,composition(X_81,complement(converse(composition(zero,X_81))))) != top
| composition(join(X_81,one),top) = top ),
inference(resolve,[$cnf( $equal(join(top,composition(X_81,complement(converse(composition(zero,X_81))))),composition(join(X_81,one),top)) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
composition(join(X_81,one),top) = top,
inference(resolve,[$cnf( $equal(join(top,composition(X_81,complement(converse(composition(zero,X_81))))),top) )],[refute_0_1623,refute_0_1654]) ).
cnf(refute_0_1656,plain,
composition(join(X0,one),top) = top,
inference(subst,[],[refute_0_1655:[bind(X_81,$fot(X0))]]) ).
cnf(refute_0_1657,plain,
join(top,composition(X0,top)) = composition(join(X0,one),top),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(X0)),bind(X_110,$fot(top))]]) ).
cnf(refute_0_1658,plain,
( composition(join(X0,one),top) != top
| join(top,composition(X0,top)) != composition(join(X0,one),top)
| join(top,composition(X0,top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(top,composition(X0,top)))),bind(Y,$fot(composition(join(X0,one),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1659,plain,
( composition(join(X0,one),top) != top
| join(top,composition(X0,top)) = top ),
inference(resolve,[$cnf( $equal(join(top,composition(X0,top)),composition(join(X0,one),top)) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
join(top,composition(X0,top)) = top,
inference(resolve,[$cnf( $equal(composition(join(X0,one),top),top) )],[refute_0_1656,refute_0_1659]) ).
cnf(refute_0_1661,plain,
join(composition(X0,top),top) = join(top,composition(X0,top)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(top)),bind(X1,$fot(composition(X0,top)))]]) ).
cnf(refute_0_1662,plain,
( join(composition(X0,top),top) != join(top,composition(X0,top))
| join(top,composition(X0,top)) != top
| join(composition(X0,top),top) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(composition(X0,top),top))),bind(Y,$fot(join(top,composition(X0,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1663,plain,
( join(top,composition(X0,top)) != top
| join(composition(X0,top),top) = top ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),top),join(top,composition(X0,top))) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
join(composition(X0,top),top) = top,
inference(resolve,[$cnf( $equal(join(top,composition(X0,top)),top) )],[refute_0_1660,refute_0_1663]) ).
cnf(refute_0_1665,plain,
( composition(join(X0,converse(join(one,X_125))),top) != join(composition(X0,top),top)
| join(composition(X0,top),top) != top
| composition(join(X0,converse(join(one,X_125))),top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,converse(join(one,X_125))),top),top) ),[0],$fot(join(composition(X0,top),top))]]) ).
cnf(refute_0_1666,plain,
( composition(join(X0,converse(join(one,X_125))),top) != join(composition(X0,top),top)
| composition(join(X0,converse(join(one,X_125))),top) = top ),
inference(resolve,[$cnf( $equal(join(composition(X0,top),top),top) )],[refute_0_1664,refute_0_1665]) ).
cnf(refute_0_1667,plain,
composition(join(X0,converse(join(one,X_125))),top) = top,
inference(resolve,[$cnf( $equal(composition(join(X0,converse(join(one,X_125))),top),join(composition(X0,top),top)) )],[refute_0_1594,refute_0_1666]) ).
cnf(refute_0_1668,plain,
composition(join(X_260,converse(join(one,X_6))),top) = top,
inference(subst,[],[refute_0_1667:[bind(X0,$fot(X_260)),bind(X_125,$fot(X_6))]]) ).
cnf(refute_0_1669,plain,
( composition(join(X_260,converse(join(one,X_6))),top) != top
| converse(composition(top,join(converse(X_260),join(one,X_6)))) != composition(join(X_260,converse(join(one,X_6))),top)
| converse(composition(top,join(converse(X_260),join(one,X_6)))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,join(converse(X_260),join(one,X_6)))))),bind(Y,$fot(composition(join(X_260,converse(join(one,X_6))),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1670,plain,
( composition(join(X_260,converse(join(one,X_6))),top) != top
| converse(composition(top,join(converse(X_260),join(one,X_6)))) = top ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(converse(X_260),join(one,X_6)))),composition(join(X_260,converse(join(one,X_6))),top)) )],[refute_0_1584,refute_0_1669]) ).
cnf(refute_0_1671,plain,
converse(composition(top,join(converse(X_260),join(one,X_6)))) = top,
inference(resolve,[$cnf( $equal(composition(join(X_260,converse(join(one,X_6))),top),top) )],[refute_0_1668,refute_0_1670]) ).
cnf(refute_0_1672,plain,
( converse(composition(top,join(converse(X_260),join(one,X_6)))) != composition(join(X_260,converse(join(X_6,one))),top)
| converse(composition(top,join(converse(X_260),join(one,X_6)))) != top
| top = composition(join(X_260,converse(join(X_6,one))),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,join(converse(X_260),join(one,X_6)))),composition(join(X_260,converse(join(X_6,one))),top)) ),[0],$fot(top)]]) ).
cnf(refute_0_1673,plain,
( converse(composition(top,join(converse(X_260),join(one,X_6)))) != composition(join(X_260,converse(join(X_6,one))),top)
| top = composition(join(X_260,converse(join(X_6,one))),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,join(converse(X_260),join(one,X_6)))),top) )],[refute_0_1671,refute_0_1672]) ).
cnf(refute_0_1674,plain,
top = composition(join(X_260,converse(join(X_6,one))),top),
inference(resolve,[$cnf( $equal(converse(composition(top,join(converse(X_260),join(one,X_6)))),composition(join(X_260,converse(join(X_6,one))),top)) )],[refute_0_1589,refute_0_1673]) ).
cnf(refute_0_1675,plain,
( top != composition(join(X_260,converse(join(X_6,one))),top)
| composition(join(X_260,converse(join(X_6,one))),top) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(composition(join(X_260,converse(join(X_6,one))),top)))]]) ).
cnf(refute_0_1676,plain,
composition(join(X_260,converse(join(X_6,one))),top) = top,
inference(resolve,[$cnf( $equal(top,composition(join(X_260,converse(join(X_6,one))),top)) )],[refute_0_1674,refute_0_1675]) ).
cnf(refute_0_1677,plain,
( composition(join(X_260,converse(join(X_6,one))),top) != top
| join(X_260,converse(join(X_6,one))) != join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,composition(join(X_260,converse(join(X_6,one))),top))),top)))
| join(X_260,converse(join(X_6,one))) = join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_260,converse(join(X_6,one))),join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,composition(join(X_260,converse(join(X_6,one))),top))),top)))) ),[1,1,1,0,0,1],$fot(top)]]) ).
cnf(refute_0_1678,plain,
( join(X_260,converse(join(X_6,one))) != join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,composition(join(X_260,converse(join(X_6,one))),top))),top)))
| join(X_260,converse(join(X_6,one))) = join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_260,converse(join(X_6,one))),top),top) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
join(X_260,converse(join(X_6,one))) = join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),
inference(resolve,[$cnf( $equal(join(X_260,converse(join(X_6,one))),join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,composition(join(X_260,converse(join(X_6,one))),top))),top)))) )],[refute_0_1575,refute_0_1678]) ).
cnf(refute_0_1680,plain,
join(converse(X_6),zero) = converse(X_6),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(converse(X_6)))]]) ).
cnf(refute_0_1681,plain,
join(meet(zero,X_55),zero) = meet(zero,X_55),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(meet(zero,X_55)))]]) ).
cnf(refute_0_1682,plain,
join(X_55,top) = top,
inference(subst,[],[refute_0_1338:[bind(X_104,$fot(X_55))]]) ).
cnf(refute_0_1683,plain,
complement(join(X_55,top)) = complement(join(X_55,top)),
introduced(tautology,[refl,[$fot(complement(join(X_55,top)))]]) ).
cnf(refute_0_1684,plain,
( complement(join(X_55,top)) != complement(join(X_55,top))
| join(X_55,top) != top
| complement(join(X_55,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_55,top)),complement(join(X_55,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1685,plain,
( join(X_55,top) != top
| complement(join(X_55,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(X_55,top)),complement(join(X_55,top))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
complement(join(X_55,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(X_55,top),top) )],[refute_0_1682,refute_0_1685]) ).
cnf(refute_0_1687,plain,
( complement(join(X_55,top)) != complement(top)
| complement(top) != zero
| complement(join(X_55,top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(X_55,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1688,plain,
( complement(top) != zero
| complement(join(X_55,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(X_55,top)),complement(top)) )],[refute_0_1686,refute_0_1687]) ).
cnf(refute_0_1689,plain,
complement(join(X_55,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_1688]) ).
cnf(refute_0_1690,plain,
join(meet(zero,X_55),complement(join(X_55,top))) = join(meet(zero,X_55),complement(join(X_55,top))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_55),complement(join(X_55,top))))]]) ).
cnf(refute_0_1691,plain,
( complement(join(X_55,top)) != zero
| join(meet(zero,X_55),complement(join(X_55,top))) != join(meet(zero,X_55),complement(join(X_55,top)))
| join(meet(zero,X_55),complement(join(X_55,top))) = join(meet(zero,X_55),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_55),complement(join(X_55,top))),join(meet(zero,X_55),complement(join(X_55,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1692,plain,
( complement(join(X_55,top)) != zero
| join(meet(zero,X_55),complement(join(X_55,top))) = join(meet(zero,X_55),zero) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_55),complement(join(X_55,top))),join(meet(zero,X_55),complement(join(X_55,top)))) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
join(meet(zero,X_55),complement(join(X_55,top))) = join(meet(zero,X_55),zero),
inference(resolve,[$cnf( $equal(complement(join(X_55,top)),zero) )],[refute_0_1689,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( join(meet(zero,X_55),complement(join(X_55,top))) != join(meet(zero,X_55),zero)
| join(meet(zero,X_55),zero) != meet(zero,X_55)
| join(meet(zero,X_55),complement(join(X_55,top))) = meet(zero,X_55) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(zero,X_55),complement(join(X_55,top))))),bind(Y,$fot(join(meet(zero,X_55),zero))),bind(Z,$fot(meet(zero,X_55)))]]) ).
cnf(refute_0_1695,plain,
( join(meet(zero,X_55),zero) != meet(zero,X_55)
| join(meet(zero,X_55),complement(join(X_55,top))) = meet(zero,X_55) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_55),complement(join(X_55,top))),join(meet(zero,X_55),zero)) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
join(meet(zero,X_55),complement(join(X_55,top))) = meet(zero,X_55),
inference(resolve,[$cnf( $equal(join(meet(zero,X_55),zero),meet(zero,X_55)) )],[refute_0_1681,refute_0_1695]) ).
cnf(refute_0_1697,plain,
( join(meet(zero,X_55),complement(join(X_55,top))) != meet(zero,X_55)
| zero != join(meet(zero,X_55),complement(join(X_55,top)))
| zero = meet(zero,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_55),complement(join(X_55,top)))) ),[1],$fot(meet(zero,X_55))]]) ).
cnf(refute_0_1698,plain,
( zero != join(meet(zero,X_55),complement(join(X_55,top)))
| zero = meet(zero,X_55) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_55),complement(join(X_55,top))),meet(zero,X_55)) )],[refute_0_1696,refute_0_1697]) ).
cnf(refute_0_1699,plain,
zero = meet(zero,X_55),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_55),complement(join(X_55,top)))) )],[refute_0_1059,refute_0_1698]) ).
cnf(refute_0_1700,plain,
( zero != meet(zero,X_55)
| meet(zero,X_55) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X_55)))]]) ).
cnf(refute_0_1701,plain,
meet(zero,X_55) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X_55)) )],[refute_0_1699,refute_0_1700]) ).
cnf(refute_0_1702,plain,
meet(zero,join(X_260,converse(join(X_6,one)))) = zero,
inference(subst,[],[refute_0_1701:[bind(X_55,$fot(join(X_260,converse(join(X_6,one)))))]]) ).
cnf(refute_0_1703,plain,
composition(zero,top) = zero,
inference(subst,[],[refute_0_1626:[bind(X_122,$fot(top))]]) ).
cnf(refute_0_1704,plain,
complement(composition(top,top)) = complement(composition(top,top)),
introduced(tautology,[refl,[$fot(complement(composition(top,top)))]]) ).
cnf(refute_0_1705,plain,
( complement(composition(top,top)) != complement(composition(top,top))
| composition(top,top) != top
| complement(composition(top,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,top)),complement(composition(top,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1706,plain,
( composition(top,top) != top
| complement(composition(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),complement(composition(top,top))) )],[refute_0_1704,refute_0_1705]) ).
cnf(refute_0_1707,plain,
complement(composition(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1039,refute_0_1706]) ).
cnf(refute_0_1708,plain,
( complement(composition(top,top)) != complement(top)
| complement(top) != zero
| complement(composition(top,top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(composition(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1709,plain,
( complement(top) != zero
| complement(composition(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),complement(top)) )],[refute_0_1707,refute_0_1708]) ).
cnf(refute_0_1710,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_1709]) ).
cnf(refute_0_1711,plain,
composition(complement(composition(top,top)),top) = composition(complement(composition(top,top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_0_1712,plain,
( complement(composition(top,top)) != zero
| composition(complement(composition(top,top)),top) != composition(complement(composition(top,top)),top)
| composition(complement(composition(top,top)),top) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),top),composition(complement(composition(top,top)),top)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1713,plain,
( complement(composition(top,top)) != zero
| composition(complement(composition(top,top)),top) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),composition(complement(composition(top,top)),top)) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
composition(complement(composition(top,top)),top) = composition(zero,top),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_1710,refute_0_1713]) ).
cnf(refute_0_1715,plain,
( composition(complement(composition(top,top)),top) != composition(zero,top)
| composition(zero,top) != zero
| composition(complement(composition(top,top)),top) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(composition(top,top)),top))),bind(Y,$fot(composition(zero,top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1716,plain,
( composition(zero,top) != zero
| composition(complement(composition(top,top)),top) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),composition(zero,top)) )],[refute_0_1714,refute_0_1715]) ).
cnf(refute_0_1717,plain,
composition(complement(composition(top,top)),top) = zero,
inference(resolve,[$cnf( $equal(composition(zero,top),zero) )],[refute_0_1703,refute_0_1716]) ).
cnf(refute_0_1718,plain,
meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) = meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))),
introduced(tautology,[refl,[$fot(meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))))]]) ).
cnf(refute_0_1719,plain,
( composition(complement(composition(top,top)),top) != zero
| meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) != meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one))))
| meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) = meet(zero,join(X_260,converse(join(X_6,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))),meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1720,plain,
( composition(complement(composition(top,top)),top) != zero
| meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) = meet(zero,join(X_260,converse(join(X_6,one)))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))),meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one))))) )],[refute_0_1718,refute_0_1719]) ).
cnf(refute_0_1721,plain,
meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) = meet(zero,join(X_260,converse(join(X_6,one)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) )],[refute_0_1717,refute_0_1720]) ).
cnf(refute_0_1722,plain,
( meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) != meet(zero,join(X_260,converse(join(X_6,one))))
| meet(zero,join(X_260,converse(join(X_6,one)))) != zero
| meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))))),bind(Y,$fot(meet(zero,join(X_260,converse(join(X_6,one)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1723,plain,
( meet(zero,join(X_260,converse(join(X_6,one)))) != zero
| meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) = zero ),
inference(resolve,[$cnf( $equal(meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))),meet(zero,join(X_260,converse(join(X_6,one))))) )],[refute_0_1721,refute_0_1722]) ).
cnf(refute_0_1724,plain,
meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,join(X_260,converse(join(X_6,one)))),zero) )],[refute_0_1702,refute_0_1723]) ).
cnf(refute_0_1725,plain,
meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)) = meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(composition(complement(composition(top,top)),top))),bind(X_25,$fot(join(X_260,converse(join(X_6,one)))))]]) ).
cnf(refute_0_1726,plain,
( meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) != zero
| meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)) != meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one))))
| meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),bind(Y,$fot(meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1727,plain,
( meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))) != zero
| meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)) = zero ),
inference(resolve,[$cnf( $equal(meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)),meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one))))) )],[refute_0_1725,refute_0_1726]) ).
cnf(refute_0_1728,plain,
meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)) = zero,
inference(resolve,[$cnf( $equal(meet(composition(complement(composition(top,top)),top),join(X_260,converse(join(X_6,one)))),zero) )],[refute_0_1724,refute_0_1727]) ).
cnf(refute_0_1729,plain,
join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),
introduced(tautology,[refl,[$fot(join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_1730,plain,
( join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))
| meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)) != zero
| join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(converse(X_6),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1731,plain,
( meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)) != zero
| join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(converse(X_6),zero) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(converse(X_6),zero),
inference(resolve,[$cnf( $equal(meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)),zero) )],[refute_0_1728,refute_0_1731]) ).
cnf(refute_0_1733,plain,
( join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != join(converse(X_6),zero)
| join(converse(X_6),zero) != converse(X_6)
| join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = converse(X_6) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))),bind(Y,$fot(join(converse(X_6),zero))),bind(Z,$fot(converse(X_6)))]]) ).
cnf(refute_0_1734,plain,
( join(converse(X_6),zero) != converse(X_6)
| join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = converse(X_6) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),join(converse(X_6),zero)) )],[refute_0_1732,refute_0_1733]) ).
cnf(refute_0_1735,plain,
join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = converse(X_6),
inference(resolve,[$cnf( $equal(join(converse(X_6),zero),converse(X_6)) )],[refute_0_1680,refute_0_1734]) ).
cnf(refute_0_1736,plain,
join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),
introduced(tautology,[refl,[$fot(join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))))]]) ).
cnf(refute_0_1737,plain,
( join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != converse(X_6)
| join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) != join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))
| join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = join(one,converse(X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))) ),[1,1],$fot(converse(X_6))]]) ).
cnf(refute_0_1738,plain,
( join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != converse(X_6)
| join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = join(one,converse(X_6)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))) )],[refute_0_1736,refute_0_1737]) ).
cnf(refute_0_1739,plain,
join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = join(one,converse(X_6)),
inference(resolve,[$cnf( $equal(join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),converse(X_6)) )],[refute_0_1735,refute_0_1738]) ).
cnf(refute_0_1740,plain,
( join(one,converse(X_6)) != converse(join(one,X_6))
| join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) != join(one,converse(X_6))
| join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = converse(join(one,X_6)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))))),bind(Y,$fot(join(one,converse(X_6)))),bind(Z,$fot(converse(join(one,X_6))))]]) ).
cnf(refute_0_1741,plain,
( join(one,converse(X_6)) != converse(join(one,X_6))
| join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = converse(join(one,X_6)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),join(one,converse(X_6))) )],[refute_0_1739,refute_0_1740]) ).
cnf(refute_0_1742,plain,
join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = converse(join(one,X_6)),
inference(resolve,[$cnf( $equal(join(one,converse(X_6)),converse(join(one,X_6))) )],[refute_0_782,refute_0_1741]) ).
cnf(refute_0_1743,plain,
converse(join(join(X_57,one),converse(X0))) = join(converse(join(X_57,one)),X0),
inference(subst,[],[refute_0_425:[bind(X_6,$fot(join(X_57,one)))]]) ).
cnf(refute_0_1744,plain,
converse(join(X_57,one)) = converse(join(one,X_57)),
inference(subst,[],[refute_0_789:[bind(X_6,$fot(X_57))]]) ).
cnf(refute_0_1745,plain,
( converse(join(X_57,one)) != converse(join(one,X_57))
| converse(join(join(X_57,one),converse(X0))) != join(converse(join(X_57,one)),X0)
| converse(join(join(X_57,one),converse(X0))) = join(converse(join(one,X_57)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_57,one),converse(X0))),join(converse(join(X_57,one)),X0)) ),[1,0],$fot(converse(join(one,X_57)))]]) ).
cnf(refute_0_1746,plain,
( converse(join(join(X_57,one),converse(X0))) != join(converse(join(X_57,one)),X0)
| converse(join(join(X_57,one),converse(X0))) = join(converse(join(one,X_57)),X0) ),
inference(resolve,[$cnf( $equal(converse(join(X_57,one)),converse(join(one,X_57))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
converse(join(join(X_57,one),converse(X0))) = join(converse(join(one,X_57)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,one),converse(X0))),join(converse(join(X_57,one)),X0)) )],[refute_0_1743,refute_0_1746]) ).
cnf(refute_0_1748,plain,
( converse(join(join(X_57,one),converse(X0))) != join(converse(join(X_57,one)),X0)
| converse(join(join(X_57,one),converse(X0))) != join(converse(join(one,X_57)),X0)
| join(converse(join(X_57,one)),X0) = join(converse(join(one,X_57)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_57,one),converse(X0))),join(converse(join(one,X_57)),X0)) ),[0],$fot(join(converse(join(X_57,one)),X0))]]) ).
cnf(refute_0_1749,plain,
( converse(join(join(X_57,one),converse(X0))) != join(converse(join(one,X_57)),X0)
| join(converse(join(X_57,one)),X0) = join(converse(join(one,X_57)),X0) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,one),converse(X0))),join(converse(join(X_57,one)),X0)) )],[refute_0_1743,refute_0_1748]) ).
cnf(refute_0_1750,plain,
join(converse(join(X_57,one)),X0) = join(converse(join(one,X_57)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,one),converse(X0))),join(converse(join(one,X_57)),X0)) )],[refute_0_1747,refute_0_1749]) ).
cnf(refute_0_1751,plain,
join(converse(join(one,X_57)),X0) = join(one,join(converse(X_57),X0)),
inference(subst,[],[refute_0_806:[bind(X_65,$fot(X0)),bind(X_7,$fot(X_57))]]) ).
cnf(refute_0_1752,plain,
( join(converse(join(X_57,one)),X0) != join(converse(join(one,X_57)),X0)
| join(converse(join(one,X_57)),X0) != join(one,join(converse(X_57),X0))
| join(converse(join(X_57,one)),X0) = join(one,join(converse(X_57),X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(join(X_57,one)),X0),join(one,join(converse(X_57),X0))) ),[0],$fot(join(converse(join(one,X_57)),X0))]]) ).
cnf(refute_0_1753,plain,
( join(converse(join(X_57,one)),X0) != join(converse(join(one,X_57)),X0)
| join(converse(join(X_57,one)),X0) = join(one,join(converse(X_57),X0)) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_57)),X0),join(one,join(converse(X_57),X0))) )],[refute_0_1751,refute_0_1752]) ).
cnf(refute_0_1754,plain,
join(converse(join(X_57,one)),X0) = join(one,join(converse(X_57),X0)),
inference(resolve,[$cnf( $equal(join(converse(join(X_57,one)),X0),join(converse(join(one,X_57)),X0)) )],[refute_0_1750,refute_0_1753]) ).
cnf(refute_0_1755,plain,
join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),
inference(subst,[],[refute_0_1754:[bind(X0,$fot(meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),bind(X_57,$fot(X_6))]]) ).
cnf(refute_0_1756,plain,
( join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))
| join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) != converse(join(one,X_6))
| join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = converse(join(one,X_6)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))),bind(Y,$fot(join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))))),bind(Z,$fot(converse(join(one,X_6))))]]) ).
cnf(refute_0_1757,plain,
( join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) != converse(join(one,X_6))
| join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = converse(join(one,X_6)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = converse(join(one,X_6)),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),converse(join(one,X_6))) )],[refute_0_1742,refute_0_1757]) ).
cnf(refute_0_1759,plain,
join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),
introduced(tautology,[refl,[$fot(join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))))]]) ).
cnf(refute_0_1760,plain,
( join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) != join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))
| join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != converse(join(one,X_6))
| join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = join(X_260,converse(join(one,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))) ),[1,1],$fot(converse(join(one,X_6)))]]) ).
cnf(refute_0_1761,plain,
( join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != converse(join(one,X_6))
| join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = join(X_260,converse(join(one,X_6))) ),
inference(resolve,[$cnf( $equal(join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))) )],[refute_0_1759,refute_0_1760]) ).
cnf(refute_0_1762,plain,
join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) = join(X_260,converse(join(one,X_6))),
inference(resolve,[$cnf( $equal(join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),converse(join(one,X_6))) )],[refute_0_1758,refute_0_1761]) ).
cnf(refute_0_1763,plain,
join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_260)),bind(X1,$fot(converse(join(X_6,one)))),bind(X2,$fot(meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_1764,plain,
( join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) != join(X_260,converse(join(one,X_6)))
| join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))
| join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(X_260,converse(join(one,X_6))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))),bind(Y,$fot(join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))))),bind(Z,$fot(join(X_260,converse(join(one,X_6)))))]]) ).
cnf(refute_0_1765,plain,
( join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) != join(X_260,converse(join(one,X_6)))
| join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(X_260,converse(join(one,X_6))) ),
inference(resolve,[$cnf( $equal(join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))) )],[refute_0_1763,refute_0_1764]) ).
cnf(refute_0_1766,plain,
join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) = join(X_260,converse(join(one,X_6))),
inference(resolve,[$cnf( $equal(join(X_260,join(converse(join(X_6,one)),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))),join(X_260,converse(join(one,X_6)))) )],[refute_0_1762,refute_0_1765]) ).
cnf(refute_0_1767,plain,
( join(X_260,converse(join(X_6,one))) != join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))
| join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))) != join(X_260,converse(join(one,X_6)))
| join(X_260,converse(join(X_6,one))) = join(X_260,converse(join(one,X_6))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_260,converse(join(X_6,one))),join(X_260,converse(join(one,X_6)))) ),[0],$fot(join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_0_1768,plain,
( join(X_260,converse(join(X_6,one))) != join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))
| join(X_260,converse(join(X_6,one))) = join(X_260,converse(join(one,X_6))) ),
inference(resolve,[$cnf( $equal(join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top))),join(X_260,converse(join(one,X_6)))) )],[refute_0_1766,refute_0_1767]) ).
cnf(refute_0_1769,plain,
join(X_260,converse(join(X_6,one))) = join(X_260,converse(join(one,X_6))),
inference(resolve,[$cnf( $equal(join(X_260,converse(join(X_6,one))),join(join(X_260,converse(join(X_6,one))),meet(join(X_260,converse(join(X_6,one))),composition(complement(composition(top,top)),top)))) )],[refute_0_1679,refute_0_1768]) ).
cnf(refute_0_1770,plain,
join(X_298,converse(join(complement(converse(join(X_298,one))),one))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))),
inference(subst,[],[refute_0_1769:[bind(X_260,$fot(X_298)),bind(X_6,$fot(complement(converse(join(X_298,one)))))]]) ).
cnf(refute_0_1771,plain,
converse(join(one,join(join(converse(X_297),X_298),one))) = converse(join(one,join(one,join(converse(X_297),X_298)))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(one)),bind(X_64,$fot(join(converse(X_297),X_298)))]]) ).
cnf(refute_0_1772,plain,
join(one,join(converse(X_297),X_298)) = join(X_298,converse(join(one,X_297))),
inference(subst,[],[refute_0_852:[bind(X_179,$fot(X_297)),bind(X_181,$fot(X_298))]]) ).
cnf(refute_0_1773,plain,
( converse(join(one,join(join(converse(X_297),X_298),one))) != converse(join(one,join(one,join(converse(X_297),X_298))))
| join(one,join(converse(X_297),X_298)) != join(X_298,converse(join(one,X_297)))
| converse(join(one,join(join(converse(X_297),X_298),one))) = converse(join(one,join(X_298,converse(join(one,X_297))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(join(converse(X_297),X_298),one))),converse(join(one,join(one,join(converse(X_297),X_298))))) ),[1,0,1],$fot(join(X_298,converse(join(one,X_297))))]]) ).
cnf(refute_0_1774,plain,
( converse(join(one,join(join(converse(X_297),X_298),one))) != converse(join(one,join(one,join(converse(X_297),X_298))))
| converse(join(one,join(join(converse(X_297),X_298),one))) = converse(join(one,join(X_298,converse(join(one,X_297))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_297),X_298)),join(X_298,converse(join(one,X_297)))) )],[refute_0_1772,refute_0_1773]) ).
cnf(refute_0_1775,plain,
converse(join(one,join(join(converse(X_297),X_298),one))) = converse(join(one,join(X_298,converse(join(one,X_297))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(converse(X_297),X_298),one))),converse(join(one,join(one,join(converse(X_297),X_298))))) )],[refute_0_1771,refute_0_1774]) ).
cnf(refute_0_1776,plain,
join(complement(X_21),composition(converse(join(one,one)),complement(composition(join(one,one),X_21)))) = complement(X_21),
inference(subst,[],[refute_0_55:[bind(X0,$fot(join(one,one))),bind(X1,$fot(X_21))]]) ).
cnf(refute_0_1777,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_664:[bind(X_7,$fot(one))]]) ).
cnf(refute_0_1778,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_1779,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_1778]) ).
cnf(refute_0_1780,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_1777,refute_0_1779]) ).
cnf(refute_0_1781,plain,
( converse(join(one,one)) != join(one,one)
| join(complement(X_21),composition(converse(join(one,one)),complement(composition(join(one,one),X_21)))) != complement(X_21)
| join(complement(X_21),composition(join(one,one),complement(composition(join(one,one),X_21)))) = complement(X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_21),composition(converse(join(one,one)),complement(composition(join(one,one),X_21)))),complement(X_21)) ),[0,1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1782,plain,
( join(complement(X_21),composition(converse(join(one,one)),complement(composition(join(one,one),X_21)))) != complement(X_21)
| join(complement(X_21),composition(join(one,one),complement(composition(join(one,one),X_21)))) = complement(X_21) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_1780,refute_0_1781]) ).
cnf(refute_0_1783,plain,
join(complement(X_21),composition(join(one,one),complement(composition(join(one,one),X_21)))) = complement(X_21),
inference(resolve,[$cnf( $equal(join(complement(X_21),composition(converse(join(one,one)),complement(composition(join(one,one),X_21)))),complement(X_21)) )],[refute_0_1776,refute_0_1782]) ).
cnf(refute_0_1784,plain,
join(complement(complement(X0)),composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = complement(complement(X0)),
inference(subst,[],[refute_0_1783:[bind(X_21,$fot(complement(X0)))]]) ).
cnf(refute_0_1785,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),composition(join(one,one),complement(composition(join(one,one),complement(X0))))) != complement(complement(X0))
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),composition(join(one,one),complement(composition(join(one,one),complement(X0))))),complement(complement(X0))) ),[0,0],$fot(X0)]]) ).
cnf(refute_0_1786,plain,
( join(complement(complement(X0)),composition(join(one,one),complement(composition(join(one,one),complement(X0))))) != complement(complement(X0))
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_1785]) ).
cnf(refute_0_1787,plain,
join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = complement(complement(X0)),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),composition(join(one,one),complement(composition(join(one,one),complement(X0))))),complement(complement(X0))) )],[refute_0_1784,refute_0_1786]) ).
cnf(refute_0_1788,plain,
( complement(complement(X0)) != X0
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) != complement(complement(X0))
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))),complement(complement(X0))) ),[1],$fot(X0)]]) ).
cnf(refute_0_1789,plain,
( join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) != complement(complement(X0))
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = X0 ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_1788]) ).
cnf(refute_0_1790,plain,
join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = X0,
inference(resolve,[$cnf( $equal(join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))),complement(complement(X0))) )],[refute_0_1787,refute_0_1789]) ).
cnf(refute_0_1791,plain,
join(complement(X_138),join(complement(X_138),complement(X_138))) = join(complement(X_138),complement(X_138)),
inference(subst,[],[refute_0_1287:[bind(X_21,$fot(X_138)),bind(X_65,$fot(complement(X_138)))]]) ).
cnf(refute_0_1792,plain,
composition(join(one,one),complement(X_138)) = join(complement(X_138),complement(X_138)),
inference(subst,[],[refute_0_1423:[bind(X_115,$fot(complement(X_138)))]]) ).
cnf(refute_0_1793,plain,
( composition(join(one,one),complement(X_138)) != join(complement(X_138),complement(X_138))
| join(complement(X_138),complement(X_138)) = composition(join(one,one),complement(X_138)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,one),complement(X_138)))),bind(Y,$fot(join(complement(X_138),complement(X_138))))]]) ).
cnf(refute_0_1794,plain,
join(complement(X_138),complement(X_138)) = composition(join(one,one),complement(X_138)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X_138)),join(complement(X_138),complement(X_138))) )],[refute_0_1792,refute_0_1793]) ).
cnf(refute_0_1795,plain,
( join(complement(X_138),complement(X_138)) != composition(join(one,one),complement(X_138))
| join(complement(X_138),join(complement(X_138),complement(X_138))) != join(complement(X_138),complement(X_138))
| join(complement(X_138),composition(join(one,one),complement(X_138))) = join(complement(X_138),complement(X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_138),join(complement(X_138),complement(X_138))),join(complement(X_138),complement(X_138))) ),[0,1],$fot(composition(join(one,one),complement(X_138)))]]) ).
cnf(refute_0_1796,plain,
( join(complement(X_138),join(complement(X_138),complement(X_138))) != join(complement(X_138),complement(X_138))
| join(complement(X_138),composition(join(one,one),complement(X_138))) = join(complement(X_138),complement(X_138)) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),complement(X_138)),composition(join(one,one),complement(X_138))) )],[refute_0_1794,refute_0_1795]) ).
cnf(refute_0_1797,plain,
join(complement(X_138),composition(join(one,one),complement(X_138))) = join(complement(X_138),complement(X_138)),
inference(resolve,[$cnf( $equal(join(complement(X_138),join(complement(X_138),complement(X_138))),join(complement(X_138),complement(X_138))) )],[refute_0_1791,refute_0_1796]) ).
cnf(refute_0_1798,plain,
composition(join(one,join(one,one)),complement(X_138)) = composition(join(one,one),complement(X_138)),
inference(subst,[],[refute_0_1415:[bind(X_108,$fot(one))]]) ).
cnf(refute_0_1799,plain,
composition(join(join(one,one),one),complement(X_138)) = composition(join(one,join(one,one)),complement(X_138)),
inference(subst,[],[refute_0_1404:[bind(X_110,$fot(complement(X_138))),bind(X_127,$fot(join(one,one)))]]) ).
cnf(refute_0_1800,plain,
( composition(join(join(one,one),one),complement(X_138)) != composition(join(one,join(one,one)),complement(X_138))
| composition(join(one,join(one,one)),complement(X_138)) != composition(join(one,one),complement(X_138))
| composition(join(join(one,one),one),complement(X_138)) = composition(join(one,one),complement(X_138)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(join(one,one),one),complement(X_138)))),bind(Y,$fot(composition(join(one,join(one,one)),complement(X_138)))),bind(Z,$fot(composition(join(one,one),complement(X_138))))]]) ).
cnf(refute_0_1801,plain,
( composition(join(one,join(one,one)),complement(X_138)) != composition(join(one,one),complement(X_138))
| composition(join(join(one,one),one),complement(X_138)) = composition(join(one,one),complement(X_138)) ),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),one),complement(X_138)),composition(join(one,join(one,one)),complement(X_138))) )],[refute_0_1799,refute_0_1800]) ).
cnf(refute_0_1802,plain,
composition(join(join(one,one),one),complement(X_138)) = composition(join(one,one),complement(X_138)),
inference(resolve,[$cnf( $equal(composition(join(one,join(one,one)),complement(X_138)),composition(join(one,one),complement(X_138))) )],[refute_0_1798,refute_0_1801]) ).
cnf(refute_0_1803,plain,
join(complement(X_138),composition(join(one,one),complement(X_138))) = composition(join(join(one,one),one),complement(X_138)),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(join(one,one))),bind(X_110,$fot(complement(X_138)))]]) ).
cnf(refute_0_1804,plain,
( composition(join(join(one,one),one),complement(X_138)) != composition(join(one,one),complement(X_138))
| join(complement(X_138),composition(join(one,one),complement(X_138))) != composition(join(join(one,one),one),complement(X_138))
| join(complement(X_138),composition(join(one,one),complement(X_138))) = composition(join(one,one),complement(X_138)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_138),composition(join(one,one),complement(X_138))))),bind(Y,$fot(composition(join(join(one,one),one),complement(X_138)))),bind(Z,$fot(composition(join(one,one),complement(X_138))))]]) ).
cnf(refute_0_1805,plain,
( composition(join(join(one,one),one),complement(X_138)) != composition(join(one,one),complement(X_138))
| join(complement(X_138),composition(join(one,one),complement(X_138))) = composition(join(one,one),complement(X_138)) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),composition(join(one,one),complement(X_138))),composition(join(join(one,one),one),complement(X_138))) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
join(complement(X_138),composition(join(one,one),complement(X_138))) = composition(join(one,one),complement(X_138)),
inference(resolve,[$cnf( $equal(composition(join(join(one,one),one),complement(X_138)),composition(join(one,one),complement(X_138))) )],[refute_0_1802,refute_0_1805]) ).
cnf(refute_0_1807,plain,
( join(complement(X_138),composition(join(one,one),complement(X_138))) != composition(join(one,one),complement(X_138))
| join(complement(X_138),composition(join(one,one),complement(X_138))) != join(complement(X_138),complement(X_138))
| composition(join(one,one),complement(X_138)) = join(complement(X_138),complement(X_138)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_138),composition(join(one,one),complement(X_138))),join(complement(X_138),complement(X_138))) ),[0],$fot(composition(join(one,one),complement(X_138)))]]) ).
cnf(refute_0_1808,plain,
( join(complement(X_138),composition(join(one,one),complement(X_138))) != join(complement(X_138),complement(X_138))
| composition(join(one,one),complement(X_138)) = join(complement(X_138),complement(X_138)) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),composition(join(one,one),complement(X_138))),composition(join(one,one),complement(X_138))) )],[refute_0_1806,refute_0_1807]) ).
cnf(refute_0_1809,plain,
complement(complement(X_25)) = X_25,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_25))]]) ).
cnf(refute_0_1810,plain,
( complement(complement(X_25)) != X_25
| meet(X_25,X_25) != complement(complement(X_25))
| meet(X_25,X_25) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_25,X_25),complement(complement(X_25))) ),[1],$fot(X_25)]]) ).
cnf(refute_0_1811,plain,
( meet(X_25,X_25) != complement(complement(X_25))
| meet(X_25,X_25) = X_25 ),
inference(resolve,[$cnf( $equal(complement(complement(X_25)),X_25) )],[refute_0_1809,refute_0_1810]) ).
cnf(refute_0_1812,plain,
meet(X_25,X_25) = X_25,
inference(resolve,[$cnf( $equal(meet(X_25,X_25),complement(complement(X_25))) )],[refute_0_271,refute_0_1811]) ).
cnf(refute_0_1813,plain,
meet(X_138,X_138) = X_138,
inference(subst,[],[refute_0_1812:[bind(X_25,$fot(X_138))]]) ).
cnf(refute_0_1814,plain,
complement(meet(X_138,X_138)) = complement(meet(X_138,X_138)),
introduced(tautology,[refl,[$fot(complement(meet(X_138,X_138)))]]) ).
cnf(refute_0_1815,plain,
( complement(meet(X_138,X_138)) != complement(meet(X_138,X_138))
| meet(X_138,X_138) != X_138
| complement(meet(X_138,X_138)) = complement(X_138) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_138,X_138)),complement(meet(X_138,X_138))) ),[1,0],$fot(X_138)]]) ).
cnf(refute_0_1816,plain,
( meet(X_138,X_138) != X_138
| complement(meet(X_138,X_138)) = complement(X_138) ),
inference(resolve,[$cnf( $equal(complement(meet(X_138,X_138)),complement(meet(X_138,X_138))) )],[refute_0_1814,refute_0_1815]) ).
cnf(refute_0_1817,plain,
complement(meet(X_138,X_138)) = complement(X_138),
inference(resolve,[$cnf( $equal(meet(X_138,X_138),X_138) )],[refute_0_1813,refute_0_1816]) ).
cnf(refute_0_1818,plain,
join(complement(X_138),complement(X_138)) = complement(meet(X_138,X_138)),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(X_138)),bind(X1,$fot(X_138))]]) ).
cnf(refute_0_1819,plain,
( complement(meet(X_138,X_138)) != complement(X_138)
| join(complement(X_138),complement(X_138)) != complement(meet(X_138,X_138))
| join(complement(X_138),complement(X_138)) = complement(X_138) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_138),complement(X_138)))),bind(Y,$fot(complement(meet(X_138,X_138)))),bind(Z,$fot(complement(X_138)))]]) ).
cnf(refute_0_1820,plain,
( complement(meet(X_138,X_138)) != complement(X_138)
| join(complement(X_138),complement(X_138)) = complement(X_138) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),complement(X_138)),complement(meet(X_138,X_138))) )],[refute_0_1818,refute_0_1819]) ).
cnf(refute_0_1821,plain,
join(complement(X_138),complement(X_138)) = complement(X_138),
inference(resolve,[$cnf( $equal(complement(meet(X_138,X_138)),complement(X_138)) )],[refute_0_1817,refute_0_1820]) ).
cnf(refute_0_1822,plain,
( composition(join(one,one),complement(X_138)) != join(complement(X_138),complement(X_138))
| join(complement(X_138),complement(X_138)) != complement(X_138)
| composition(join(one,one),complement(X_138)) = complement(X_138) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,one),complement(X_138)),complement(X_138)) ),[0],$fot(join(complement(X_138),complement(X_138)))]]) ).
cnf(refute_0_1823,plain,
( composition(join(one,one),complement(X_138)) != join(complement(X_138),complement(X_138))
| composition(join(one,one),complement(X_138)) = complement(X_138) ),
inference(resolve,[$cnf( $equal(join(complement(X_138),complement(X_138)),complement(X_138)) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
( join(complement(X_138),composition(join(one,one),complement(X_138))) != join(complement(X_138),complement(X_138))
| composition(join(one,one),complement(X_138)) = complement(X_138) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X_138)),join(complement(X_138),complement(X_138))) )],[refute_0_1808,refute_0_1823]) ).
cnf(refute_0_1825,plain,
composition(join(one,one),complement(X_138)) = complement(X_138),
inference(resolve,[$cnf( $equal(join(complement(X_138),composition(join(one,one),complement(X_138))),join(complement(X_138),complement(X_138))) )],[refute_0_1797,refute_0_1824]) ).
cnf(refute_0_1826,plain,
composition(join(one,one),complement(X0)) = complement(X0),
inference(subst,[],[refute_0_1825:[bind(X_138,$fot(X0))]]) ).
cnf(refute_0_1827,plain,
complement(composition(join(one,one),complement(X0))) = complement(composition(join(one,one),complement(X0))),
introduced(tautology,[refl,[$fot(complement(composition(join(one,one),complement(X0))))]]) ).
cnf(refute_0_1828,plain,
( complement(composition(join(one,one),complement(X0))) != complement(composition(join(one,one),complement(X0)))
| composition(join(one,one),complement(X0)) != complement(X0)
| complement(composition(join(one,one),complement(X0))) = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(join(one,one),complement(X0))),complement(composition(join(one,one),complement(X0)))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_0_1829,plain,
( composition(join(one,one),complement(X0)) != complement(X0)
| complement(composition(join(one,one),complement(X0))) = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),complement(X0))),complement(composition(join(one,one),complement(X0)))) )],[refute_0_1827,refute_0_1828]) ).
cnf(refute_0_1830,plain,
complement(composition(join(one,one),complement(X0))) = complement(complement(X0)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X0)),complement(X0)) )],[refute_0_1826,refute_0_1829]) ).
cnf(refute_0_1831,plain,
( complement(complement(X0)) != X0
| complement(composition(join(one,one),complement(X0))) != complement(complement(X0))
| complement(composition(join(one,one),complement(X0))) = X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(composition(join(one,one),complement(X0))))),bind(Y,$fot(complement(complement(X0)))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_1832,plain,
( complement(complement(X0)) != X0
| complement(composition(join(one,one),complement(X0))) = X0 ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),complement(X0))),complement(complement(X0))) )],[refute_0_1830,refute_0_1831]) ).
cnf(refute_0_1833,plain,
complement(composition(join(one,one),complement(X0))) = X0,
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_1832]) ).
cnf(refute_0_1834,plain,
composition(join(one,one),complement(composition(join(one,one),complement(X0)))) = complement(composition(join(one,one),complement(X0))),
inference(subst,[],[refute_0_1825:[bind(X_138,$fot(composition(join(one,one),complement(X0))))]]) ).
cnf(refute_0_1835,plain,
( complement(composition(join(one,one),complement(X0))) != X0
| composition(join(one,one),complement(composition(join(one,one),complement(X0)))) != complement(composition(join(one,one),complement(X0)))
| composition(join(one,one),complement(composition(join(one,one),complement(X0)))) = X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,one),complement(composition(join(one,one),complement(X0)))))),bind(Y,$fot(complement(composition(join(one,one),complement(X0))))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_1836,plain,
( complement(composition(join(one,one),complement(X0))) != X0
| composition(join(one,one),complement(composition(join(one,one),complement(X0)))) = X0 ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),complement(X0)))),complement(composition(join(one,one),complement(X0)))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
composition(join(one,one),complement(composition(join(one,one),complement(X0)))) = X0,
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),complement(X0))),X0) )],[refute_0_1833,refute_0_1836]) ).
cnf(refute_0_1838,plain,
join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))),
introduced(tautology,[refl,[$fot(join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))))]]) ).
cnf(refute_0_1839,plain,
( composition(join(one,one),complement(composition(join(one,one),complement(X0)))) != X0
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) != join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0)))))
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = join(X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))),join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0)))))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_1840,plain,
( composition(join(one,one),complement(composition(join(one,one),complement(X0)))) != X0
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))),join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0)))))) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) = join(X0,X0),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),complement(X0)))),X0) )],[refute_0_1837,refute_0_1840]) ).
cnf(refute_0_1842,plain,
( join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) != X0
| join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) != join(X0,X0)
| join(X0,X0) = X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))),X0) ),[0],$fot(join(X0,X0))]]) ).
cnf(refute_0_1843,plain,
( join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))) != X0
| join(X0,X0) = X0 ),
inference(resolve,[$cnf( $equal(join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))),join(X0,X0)) )],[refute_0_1841,refute_0_1842]) ).
cnf(refute_0_1844,plain,
join(X0,X0) = X0,
inference(resolve,[$cnf( $equal(join(X0,composition(join(one,one),complement(composition(join(one,one),complement(X0))))),X0) )],[refute_0_1790,refute_0_1843]) ).
cnf(refute_0_1845,plain,
join(one,one) = one,
inference(subst,[],[refute_0_1844:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1846,plain,
join(X_298,join(one,one)) = join(X_298,join(one,one)),
introduced(tautology,[refl,[$fot(join(X_298,join(one,one)))]]) ).
cnf(refute_0_1847,plain,
( join(X_298,join(one,one)) != join(X_298,join(one,one))
| join(one,one) != one
| join(X_298,join(one,one)) = join(X_298,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,join(one,one)),join(X_298,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1848,plain,
( join(one,one) != one
| join(X_298,join(one,one)) = join(X_298,one) ),
inference(resolve,[$cnf( $equal(join(X_298,join(one,one)),join(X_298,join(one,one))) )],[refute_0_1846,refute_0_1847]) ).
cnf(refute_0_1849,plain,
join(X_298,join(one,one)) = join(X_298,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1845,refute_0_1848]) ).
cnf(refute_0_1850,plain,
converse(join(X_298,join(one,one))) = converse(join(X_298,join(one,one))),
introduced(tautology,[refl,[$fot(converse(join(X_298,join(one,one))))]]) ).
cnf(refute_0_1851,plain,
( converse(join(X_298,join(one,one))) != converse(join(X_298,join(one,one)))
| join(X_298,join(one,one)) != join(X_298,one)
| converse(join(X_298,join(one,one))) = converse(join(X_298,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_298,join(one,one))),converse(join(X_298,join(one,one)))) ),[1,0],$fot(join(X_298,one))]]) ).
cnf(refute_0_1852,plain,
( join(X_298,join(one,one)) != join(X_298,one)
| converse(join(X_298,join(one,one))) = converse(join(X_298,one)) ),
inference(resolve,[$cnf( $equal(converse(join(X_298,join(one,one))),converse(join(X_298,join(one,one)))) )],[refute_0_1850,refute_0_1851]) ).
cnf(refute_0_1853,plain,
converse(join(X_298,join(one,one))) = converse(join(X_298,one)),
inference(resolve,[$cnf( $equal(join(X_298,join(one,one)),join(X_298,one)) )],[refute_0_1849,refute_0_1852]) ).
cnf(refute_0_1854,plain,
join(X_297,converse(join(X_298,join(one,one)))) = join(X_297,converse(join(X_298,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X_297,converse(join(X_298,join(one,one)))))]]) ).
cnf(refute_0_1855,plain,
( converse(join(X_298,join(one,one))) != converse(join(X_298,one))
| join(X_297,converse(join(X_298,join(one,one)))) != join(X_297,converse(join(X_298,join(one,one))))
| join(X_297,converse(join(X_298,join(one,one)))) = join(X_297,converse(join(X_298,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,converse(join(X_298,join(one,one)))),join(X_297,converse(join(X_298,join(one,one))))) ),[1,1],$fot(converse(join(X_298,one)))]]) ).
cnf(refute_0_1856,plain,
( converse(join(X_298,join(one,one))) != converse(join(X_298,one))
| join(X_297,converse(join(X_298,join(one,one)))) = join(X_297,converse(join(X_298,one))) ),
inference(resolve,[$cnf( $equal(join(X_297,converse(join(X_298,join(one,one)))),join(X_297,converse(join(X_298,join(one,one))))) )],[refute_0_1854,refute_0_1855]) ).
cnf(refute_0_1857,plain,
join(X_297,converse(join(X_298,join(one,one)))) = join(X_297,converse(join(X_298,one))),
inference(resolve,[$cnf( $equal(converse(join(X_298,join(one,one))),converse(join(X_298,one))) )],[refute_0_1853,refute_0_1856]) ).
cnf(refute_0_1858,plain,
converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) = join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))),
inference(subst,[],[refute_0_776:[bind(X_6,$fot(X_179)),bind(X_8,$fot(X_180)),bind(X_9,$fot(join(converse(X0),X_7)))]]) ).
cnf(refute_0_1859,plain,
( converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) != join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))
| converse(join(converse(X0),X_7)) != join(X0,converse(X_7))
| converse(join(X_179,join(join(X0,converse(X_7)),X_180))) = join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))),join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))) ),[0,0,1,0],$fot(join(X0,converse(X_7)))]]) ).
cnf(refute_0_1860,plain,
( converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) != join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))
| converse(join(X_179,join(join(X0,converse(X_7)),X_180))) = join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_7)),join(X0,converse(X_7))) )],[refute_0_413,refute_0_1859]) ).
cnf(refute_0_1861,plain,
converse(join(X_179,join(join(X0,converse(X_7)),X_180))) = join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))),join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))) )],[refute_0_1858,refute_0_1860]) ).
cnf(refute_0_1862,plain,
join(join(X0,converse(X_7)),X_180) = join(X0,join(converse(X_7),X_180)),
inference(subst,[],[refute_0_437:[bind(X1,$fot(converse(X_7))),bind(X2,$fot(X_180))]]) ).
cnf(refute_0_1863,plain,
join(X_179,join(join(X0,converse(X_7)),X_180)) = join(X_179,join(join(X0,converse(X_7)),X_180)),
introduced(tautology,[refl,[$fot(join(X_179,join(join(X0,converse(X_7)),X_180)))]]) ).
cnf(refute_0_1864,plain,
( join(X_179,join(join(X0,converse(X_7)),X_180)) != join(X_179,join(join(X0,converse(X_7)),X_180))
| join(join(X0,converse(X_7)),X_180) != join(X0,join(converse(X_7),X_180))
| join(X_179,join(join(X0,converse(X_7)),X_180)) = join(X_179,join(X0,join(converse(X_7),X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_179,join(join(X0,converse(X_7)),X_180)),join(X_179,join(join(X0,converse(X_7)),X_180))) ),[1,1],$fot(join(X0,join(converse(X_7),X_180)))]]) ).
cnf(refute_0_1865,plain,
( join(join(X0,converse(X_7)),X_180) != join(X0,join(converse(X_7),X_180))
| join(X_179,join(join(X0,converse(X_7)),X_180)) = join(X_179,join(X0,join(converse(X_7),X_180))) ),
inference(resolve,[$cnf( $equal(join(X_179,join(join(X0,converse(X_7)),X_180)),join(X_179,join(join(X0,converse(X_7)),X_180))) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
join(X_179,join(join(X0,converse(X_7)),X_180)) = join(X_179,join(X0,join(converse(X_7),X_180))),
inference(resolve,[$cnf( $equal(join(join(X0,converse(X_7)),X_180),join(X0,join(converse(X_7),X_180))) )],[refute_0_1862,refute_0_1865]) ).
cnf(refute_0_1867,plain,
converse(join(X_179,join(join(X0,converse(X_7)),X_180))) = converse(join(X_179,join(join(X0,converse(X_7)),X_180))),
introduced(tautology,[refl,[$fot(converse(join(X_179,join(join(X0,converse(X_7)),X_180))))]]) ).
cnf(refute_0_1868,plain,
( converse(join(X_179,join(join(X0,converse(X_7)),X_180))) != converse(join(X_179,join(join(X0,converse(X_7)),X_180)))
| join(X_179,join(join(X0,converse(X_7)),X_180)) != join(X_179,join(X0,join(converse(X_7),X_180)))
| converse(join(X_179,join(join(X0,converse(X_7)),X_180))) = converse(join(X_179,join(X0,join(converse(X_7),X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_179,join(join(X0,converse(X_7)),X_180))),converse(join(X_179,join(join(X0,converse(X_7)),X_180)))) ),[1,0],$fot(join(X_179,join(X0,join(converse(X_7),X_180))))]]) ).
cnf(refute_0_1869,plain,
( join(X_179,join(join(X0,converse(X_7)),X_180)) != join(X_179,join(X0,join(converse(X_7),X_180)))
| converse(join(X_179,join(join(X0,converse(X_7)),X_180))) = converse(join(X_179,join(X0,join(converse(X_7),X_180)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(join(X0,converse(X_7)),X_180))),converse(join(X_179,join(join(X0,converse(X_7)),X_180)))) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
converse(join(X_179,join(join(X0,converse(X_7)),X_180))) = converse(join(X_179,join(X0,join(converse(X_7),X_180)))),
inference(resolve,[$cnf( $equal(join(X_179,join(join(X0,converse(X_7)),X_180)),join(X_179,join(X0,join(converse(X_7),X_180)))) )],[refute_0_1866,refute_0_1869]) ).
cnf(refute_0_1871,plain,
( converse(join(X_179,join(join(X0,converse(X_7)),X_180))) != converse(join(X_179,join(X0,join(converse(X_7),X_180))))
| converse(join(X_179,join(join(X0,converse(X_7)),X_180))) != join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))
| converse(join(X_179,join(X0,join(converse(X_7),X_180)))) = join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_179,join(join(X0,converse(X_7)),X_180))),join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))) ),[0],$fot(converse(join(X_179,join(X0,join(converse(X_7),X_180)))))]]) ).
cnf(refute_0_1872,plain,
( converse(join(X_179,join(join(X0,converse(X_7)),X_180))) != join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))
| converse(join(X_179,join(X0,join(converse(X_7),X_180)))) = join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(join(X0,converse(X_7)),X_180))),converse(join(X_179,join(X0,join(converse(X_7),X_180))))) )],[refute_0_1870,refute_0_1871]) ).
cnf(refute_0_1873,plain,
join(join(X_180,X_179),X0) = join(X_180,join(X_179,X0)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_180)),bind(X1,$fot(X_179)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_1874,plain,
converse(join(join(X_180,X_179),X0)) = converse(join(join(X_180,X_179),X0)),
introduced(tautology,[refl,[$fot(converse(join(join(X_180,X_179),X0)))]]) ).
cnf(refute_0_1875,plain,
( converse(join(join(X_180,X_179),X0)) != converse(join(join(X_180,X_179),X0))
| join(join(X_180,X_179),X0) != join(X_180,join(X_179,X0))
| converse(join(join(X_180,X_179),X0)) = converse(join(X_180,join(X_179,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_180,X_179),X0)),converse(join(join(X_180,X_179),X0))) ),[1,0],$fot(join(X_180,join(X_179,X0)))]]) ).
cnf(refute_0_1876,plain,
( join(join(X_180,X_179),X0) != join(X_180,join(X_179,X0))
| converse(join(join(X_180,X_179),X0)) = converse(join(X_180,join(X_179,X0))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_180,X_179),X0)),converse(join(join(X_180,X_179),X0))) )],[refute_0_1874,refute_0_1875]) ).
cnf(refute_0_1877,plain,
converse(join(join(X_180,X_179),X0)) = converse(join(X_180,join(X_179,X0))),
inference(resolve,[$cnf( $equal(join(join(X_180,X_179),X0),join(X_180,join(X_179,X0))) )],[refute_0_1873,refute_0_1876]) ).
cnf(refute_0_1878,plain,
join(X_7,converse(join(join(X_180,X_179),X0))) = join(X_7,converse(join(join(X_180,X_179),X0))),
introduced(tautology,[refl,[$fot(join(X_7,converse(join(join(X_180,X_179),X0))))]]) ).
cnf(refute_0_1879,plain,
( converse(join(join(X_180,X_179),X0)) != converse(join(X_180,join(X_179,X0)))
| join(X_7,converse(join(join(X_180,X_179),X0))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| join(X_7,converse(join(join(X_180,X_179),X0))) = join(X_7,converse(join(X_180,join(X_179,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_7,converse(join(join(X_180,X_179),X0))),join(X_7,converse(join(join(X_180,X_179),X0)))) ),[1,1],$fot(converse(join(X_180,join(X_179,X0))))]]) ).
cnf(refute_0_1880,plain,
( converse(join(join(X_180,X_179),X0)) != converse(join(X_180,join(X_179,X0)))
| join(X_7,converse(join(join(X_180,X_179),X0))) = join(X_7,converse(join(X_180,join(X_179,X0)))) ),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(join(X_180,X_179),X0))),join(X_7,converse(join(join(X_180,X_179),X0)))) )],[refute_0_1878,refute_0_1879]) ).
cnf(refute_0_1881,plain,
join(X_7,converse(join(join(X_180,X_179),X0))) = join(X_7,converse(join(X_180,join(X_179,X0)))),
inference(resolve,[$cnf( $equal(converse(join(join(X_180,X_179),X0)),converse(join(X_180,join(X_179,X0)))) )],[refute_0_1877,refute_0_1880]) ).
cnf(refute_0_1882,plain,
converse(join(X0,join(converse(X_7),join(X_180,X_179)))) = join(X_7,converse(join(join(X_180,X_179),X0))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(X0)),bind(X_180,$fot(join(X_180,X_179))),bind(X_181,$fot(X_7))]]) ).
cnf(refute_0_1883,plain,
join(converse(X0),join(X_7,converse(join(X_180,X_179)))) = converse(join(X0,join(converse(X_7),join(X_180,X_179)))),
inference(subst,[],[refute_0_844:[bind(X_6,$fot(X0)),bind(X_8,$fot(join(X_180,X_179))),bind(X_9,$fot(X_7))]]) ).
cnf(refute_0_1884,plain,
( converse(join(X0,join(converse(X_7),join(X_180,X_179)))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| join(converse(X0),join(X_7,converse(join(X_180,X_179)))) != converse(join(X0,join(converse(X_7),join(X_180,X_179))))
| join(converse(X0),join(X_7,converse(join(X_180,X_179)))) = join(X_7,converse(join(join(X_180,X_179),X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X0),join(X_7,converse(join(X_180,X_179)))))),bind(Y,$fot(converse(join(X0,join(converse(X_7),join(X_180,X_179)))))),bind(Z,$fot(join(X_7,converse(join(join(X_180,X_179),X0)))))]]) ).
cnf(refute_0_1885,plain,
( converse(join(X0,join(converse(X_7),join(X_180,X_179)))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| join(converse(X0),join(X_7,converse(join(X_180,X_179)))) = join(X_7,converse(join(join(X_180,X_179),X0))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(X_7,converse(join(X_180,X_179)))),converse(join(X0,join(converse(X_7),join(X_180,X_179))))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
join(converse(X0),join(X_7,converse(join(X_180,X_179)))) = join(X_7,converse(join(join(X_180,X_179),X0))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(converse(X_7),join(X_180,X_179)))),join(X_7,converse(join(join(X_180,X_179),X0)))) )],[refute_0_1882,refute_0_1885]) ).
cnf(refute_0_1887,plain,
join(join(converse(X0),X_7),converse(join(X_180,X_179))) = join(converse(X0),join(X_7,converse(join(X_180,X_179)))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_7)),bind(X2,$fot(converse(join(X_180,X_179))))]]) ).
cnf(refute_0_1888,plain,
( join(converse(X0),join(X_7,converse(join(X_180,X_179)))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| join(join(converse(X0),X_7),converse(join(X_180,X_179))) != join(converse(X0),join(X_7,converse(join(X_180,X_179))))
| join(join(converse(X0),X_7),converse(join(X_180,X_179))) = join(X_7,converse(join(join(X_180,X_179),X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(converse(X0),X_7),converse(join(X_180,X_179))))),bind(Y,$fot(join(converse(X0),join(X_7,converse(join(X_180,X_179)))))),bind(Z,$fot(join(X_7,converse(join(join(X_180,X_179),X0)))))]]) ).
cnf(refute_0_1889,plain,
( join(converse(X0),join(X_7,converse(join(X_180,X_179)))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| join(join(converse(X0),X_7),converse(join(X_180,X_179))) = join(X_7,converse(join(join(X_180,X_179),X0))) ),
inference(resolve,[$cnf( $equal(join(join(converse(X0),X_7),converse(join(X_180,X_179))),join(converse(X0),join(X_7,converse(join(X_180,X_179))))) )],[refute_0_1887,refute_0_1888]) ).
cnf(refute_0_1890,plain,
join(join(converse(X0),X_7),converse(join(X_180,X_179))) = join(X_7,converse(join(join(X_180,X_179),X0))),
inference(resolve,[$cnf( $equal(join(converse(X0),join(X_7,converse(join(X_180,X_179)))),join(X_7,converse(join(join(X_180,X_179),X0)))) )],[refute_0_1886,refute_0_1889]) ).
cnf(refute_0_1891,plain,
converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) = join(join(converse(X0),X_7),converse(join(X_180,X_179))),
inference(subst,[],[refute_0_841:[bind(X_181,$fot(join(converse(X0),X_7)))]]) ).
cnf(refute_0_1892,plain,
( converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) != join(join(converse(X0),X_7),converse(join(X_180,X_179)))
| join(join(converse(X0),X_7),converse(join(X_180,X_179))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) = join(X_7,converse(join(join(X_180,X_179),X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))))),bind(Y,$fot(join(join(converse(X0),X_7),converse(join(X_180,X_179))))),bind(Z,$fot(join(X_7,converse(join(join(X_180,X_179),X0)))))]]) ).
cnf(refute_0_1893,plain,
( join(join(converse(X0),X_7),converse(join(X_180,X_179))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) = join(X_7,converse(join(join(X_180,X_179),X0))) ),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))),join(join(converse(X0),X_7),converse(join(X_180,X_179)))) )],[refute_0_1891,refute_0_1892]) ).
cnf(refute_0_1894,plain,
converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) = join(X_7,converse(join(join(X_180,X_179),X0))),
inference(resolve,[$cnf( $equal(join(join(converse(X0),X_7),converse(join(X_180,X_179))),join(X_7,converse(join(join(X_180,X_179),X0)))) )],[refute_0_1890,refute_0_1893]) ).
cnf(refute_0_1895,plain,
join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) = converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))),
inference(subst,[],[refute_0_844:[bind(X_6,$fot(X_179)),bind(X_8,$fot(X_180)),bind(X_9,$fot(join(converse(X0),X_7)))]]) ).
cnf(refute_0_1896,plain,
( converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) != converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180)))
| join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) = join(X_7,converse(join(join(X_180,X_179),X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))))),bind(Y,$fot(converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))))),bind(Z,$fot(join(X_7,converse(join(join(X_180,X_179),X0)))))]]) ).
cnf(refute_0_1897,plain,
( converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) = join(X_7,converse(join(join(X_180,X_179),X0))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))),converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180)))) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) = join(X_7,converse(join(join(X_180,X_179),X0))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(join(converse(X0),X_7)),X_180))),join(X_7,converse(join(join(X_180,X_179),X0)))) )],[refute_0_1894,refute_0_1897]) ).
cnf(refute_0_1899,plain,
( join(X_7,converse(join(join(X_180,X_179),X0))) != join(X_7,converse(join(X_180,join(X_179,X0))))
| join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) != join(X_7,converse(join(join(X_180,X_179),X0)))
| join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) = join(X_7,converse(join(X_180,join(X_179,X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))))),bind(Y,$fot(join(X_7,converse(join(join(X_180,X_179),X0))))),bind(Z,$fot(join(X_7,converse(join(X_180,join(X_179,X0))))))]]) ).
cnf(refute_0_1900,plain,
( join(X_7,converse(join(join(X_180,X_179),X0))) != join(X_7,converse(join(X_180,join(X_179,X0))))
| join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) = join(X_7,converse(join(X_180,join(X_179,X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))),join(X_7,converse(join(join(X_180,X_179),X0)))) )],[refute_0_1898,refute_0_1899]) ).
cnf(refute_0_1901,plain,
join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) = join(X_7,converse(join(X_180,join(X_179,X0)))),
inference(resolve,[$cnf( $equal(join(X_7,converse(join(join(X_180,X_179),X0))),join(X_7,converse(join(X_180,join(X_179,X0))))) )],[refute_0_1881,refute_0_1900]) ).
cnf(refute_0_1902,plain,
( converse(join(X_179,join(X0,join(converse(X_7),X_180)))) != join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))
| join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))) != join(X_7,converse(join(X_180,join(X_179,X0))))
| converse(join(X_179,join(X0,join(converse(X_7),X_180)))) = join(X_7,converse(join(X_180,join(X_179,X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_179,join(X0,join(converse(X_7),X_180)))),join(X_7,converse(join(X_180,join(X_179,X0))))) ),[0],$fot(join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))))]]) ).
cnf(refute_0_1903,plain,
( converse(join(X_179,join(X0,join(converse(X_7),X_180)))) != join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))
| converse(join(X_179,join(X0,join(converse(X_7),X_180)))) = join(X_7,converse(join(X_180,join(X_179,X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(join(converse(X0),X_7),converse(X_180))),join(X_7,converse(join(X_180,join(X_179,X0))))) )],[refute_0_1901,refute_0_1902]) ).
cnf(refute_0_1904,plain,
( converse(join(X_179,join(join(X0,converse(X_7)),X_180))) != join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))
| converse(join(X_179,join(X0,join(converse(X_7),X_180)))) = join(X_7,converse(join(X_180,join(X_179,X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(X0,join(converse(X_7),X_180)))),join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))) )],[refute_0_1872,refute_0_1903]) ).
cnf(refute_0_1905,plain,
converse(join(X_179,join(X0,join(converse(X_7),X_180)))) = join(X_7,converse(join(X_180,join(X_179,X0)))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(join(X0,converse(X_7)),X_180))),join(converse(X_179),join(join(converse(X0),X_7),converse(X_180)))) )],[refute_0_1861,refute_0_1904]) ).
cnf(refute_0_1906,plain,
converse(join(one,join(one,join(converse(X_297),X_298)))) = join(X_297,converse(join(X_298,join(one,one)))),
inference(subst,[],[refute_0_1905:[bind(X0,$fot(one)),bind(X_179,$fot(one)),bind(X_180,$fot(X_298)),bind(X_7,$fot(X_297))]]) ).
cnf(refute_0_1907,plain,
( converse(join(one,join(join(converse(X_297),X_298),one))) != converse(join(one,join(one,join(converse(X_297),X_298))))
| converse(join(one,join(one,join(converse(X_297),X_298)))) != join(X_297,converse(join(X_298,join(one,one))))
| converse(join(one,join(join(converse(X_297),X_298),one))) = join(X_297,converse(join(X_298,join(one,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(join(converse(X_297),X_298),one))))),bind(Y,$fot(converse(join(one,join(one,join(converse(X_297),X_298)))))),bind(Z,$fot(join(X_297,converse(join(X_298,join(one,one))))))]]) ).
cnf(refute_0_1908,plain,
( converse(join(one,join(one,join(converse(X_297),X_298)))) != join(X_297,converse(join(X_298,join(one,one))))
| converse(join(one,join(join(converse(X_297),X_298),one))) = join(X_297,converse(join(X_298,join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(converse(X_297),X_298),one))),converse(join(one,join(one,join(converse(X_297),X_298))))) )],[refute_0_1771,refute_0_1907]) ).
cnf(refute_0_1909,plain,
converse(join(one,join(join(converse(X_297),X_298),one))) = join(X_297,converse(join(X_298,join(one,one)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(converse(X_297),X_298)))),join(X_297,converse(join(X_298,join(one,one))))) )],[refute_0_1906,refute_0_1908]) ).
cnf(refute_0_1910,plain,
( converse(join(one,join(join(converse(X_297),X_298),one))) != join(X_297,converse(join(X_298,join(one,one))))
| join(X_297,converse(join(X_298,join(one,one)))) != join(X_297,converse(join(X_298,one)))
| converse(join(one,join(join(converse(X_297),X_298),one))) = join(X_297,converse(join(X_298,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(join(converse(X_297),X_298),one))))),bind(Y,$fot(join(X_297,converse(join(X_298,join(one,one)))))),bind(Z,$fot(join(X_297,converse(join(X_298,one)))))]]) ).
cnf(refute_0_1911,plain,
( join(X_297,converse(join(X_298,join(one,one)))) != join(X_297,converse(join(X_298,one)))
| converse(join(one,join(join(converse(X_297),X_298),one))) = join(X_297,converse(join(X_298,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(converse(X_297),X_298),one))),join(X_297,converse(join(X_298,join(one,one))))) )],[refute_0_1909,refute_0_1910]) ).
cnf(refute_0_1912,plain,
converse(join(one,join(join(converse(X_297),X_298),one))) = join(X_297,converse(join(X_298,one))),
inference(resolve,[$cnf( $equal(join(X_297,converse(join(X_298,join(one,one)))),join(X_297,converse(join(X_298,one)))) )],[refute_0_1857,refute_0_1911]) ).
cnf(refute_0_1913,plain,
( converse(join(one,join(join(converse(X_297),X_298),one))) != converse(join(one,join(X_298,converse(join(one,X_297)))))
| converse(join(one,join(join(converse(X_297),X_298),one))) != join(X_297,converse(join(X_298,one)))
| join(X_297,converse(join(X_298,one))) = converse(join(one,join(X_298,converse(join(one,X_297))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(join(converse(X_297),X_298),one))),converse(join(one,join(X_298,converse(join(one,X_297)))))) ),[0],$fot(join(X_297,converse(join(X_298,one))))]]) ).
cnf(refute_0_1914,plain,
( converse(join(one,join(join(converse(X_297),X_298),one))) != converse(join(one,join(X_298,converse(join(one,X_297)))))
| join(X_297,converse(join(X_298,one))) = converse(join(one,join(X_298,converse(join(one,X_297))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(converse(X_297),X_298),one))),join(X_297,converse(join(X_298,one)))) )],[refute_0_1912,refute_0_1913]) ).
cnf(refute_0_1915,plain,
converse(join(converse(X_179),join(converse(X_9),converse(X_180)))) = join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))),
inference(subst,[],[refute_0_776:[bind(X_6,$fot(converse(X_179))),bind(X_8,$fot(converse(X_180)))]]) ).
cnf(refute_0_1916,plain,
converse(join(X_179,join(converse(converse(X_9)),X_180))) = join(converse(X_179),join(converse(X_9),converse(X_180))),
inference(subst,[],[refute_0_776:[bind(X_6,$fot(X_179)),bind(X_8,$fot(X_180)),bind(X_9,$fot(converse(X_9)))]]) ).
cnf(refute_0_1917,plain,
( converse(join(X_179,join(converse(converse(X_9)),X_180))) != join(converse(X_179),join(converse(X_9),converse(X_180)))
| join(converse(X_179),join(converse(X_9),converse(X_180))) = converse(join(X_179,join(converse(converse(X_9)),X_180))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_179,join(converse(converse(X_9)),X_180))))),bind(Y,$fot(join(converse(X_179),join(converse(X_9),converse(X_180)))))]]) ).
cnf(refute_0_1918,plain,
join(converse(X_179),join(converse(X_9),converse(X_180))) = converse(join(X_179,join(converse(converse(X_9)),X_180))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(converse(X_9)),X_180))),join(converse(X_179),join(converse(X_9),converse(X_180)))) )],[refute_0_1916,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( converse(join(converse(X_179),join(converse(X_9),converse(X_180)))) != join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))
| join(converse(X_179),join(converse(X_9),converse(X_180))) != converse(join(X_179,join(converse(converse(X_9)),X_180)))
| converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) = join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_179),join(converse(X_9),converse(X_180)))),join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))) ),[0,0],$fot(converse(join(X_179,join(converse(converse(X_9)),X_180))))]]) ).
cnf(refute_0_1920,plain,
( converse(join(converse(X_179),join(converse(X_9),converse(X_180)))) != join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))
| converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) = join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(converse(X_9),converse(X_180))),converse(join(X_179,join(converse(converse(X_9)),X_180)))) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) = join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_179),join(converse(X_9),converse(X_180)))),join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))) )],[refute_0_1915,refute_0_1920]) ).
cnf(refute_0_1922,plain,
converse(converse(X_9)) = X_9,
inference(subst,[],[refute_0_59:[bind(X0,$fot(X_9))]]) ).
cnf(refute_0_1923,plain,
join(converse(converse(X_9)),X_180) = join(converse(converse(X_9)),X_180),
introduced(tautology,[refl,[$fot(join(converse(converse(X_9)),X_180))]]) ).
cnf(refute_0_1924,plain,
( converse(converse(X_9)) != X_9
| join(converse(converse(X_9)),X_180) != join(converse(converse(X_9)),X_180)
| join(converse(converse(X_9)),X_180) = join(X_9,X_180) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(X_9)),X_180),join(converse(converse(X_9)),X_180)) ),[1,0],$fot(X_9)]]) ).
cnf(refute_0_1925,plain,
( converse(converse(X_9)) != X_9
| join(converse(converse(X_9)),X_180) = join(X_9,X_180) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_9)),X_180),join(converse(converse(X_9)),X_180)) )],[refute_0_1923,refute_0_1924]) ).
cnf(refute_0_1926,plain,
join(converse(converse(X_9)),X_180) = join(X_9,X_180),
inference(resolve,[$cnf( $equal(converse(converse(X_9)),X_9) )],[refute_0_1922,refute_0_1925]) ).
cnf(refute_0_1927,plain,
join(X_179,join(converse(converse(X_9)),X_180)) = join(X_179,join(converse(converse(X_9)),X_180)),
introduced(tautology,[refl,[$fot(join(X_179,join(converse(converse(X_9)),X_180)))]]) ).
cnf(refute_0_1928,plain,
( join(X_179,join(converse(converse(X_9)),X_180)) != join(X_179,join(converse(converse(X_9)),X_180))
| join(converse(converse(X_9)),X_180) != join(X_9,X_180)
| join(X_179,join(converse(converse(X_9)),X_180)) = join(X_179,join(X_9,X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_179,join(converse(converse(X_9)),X_180)),join(X_179,join(converse(converse(X_9)),X_180))) ),[1,1],$fot(join(X_9,X_180))]]) ).
cnf(refute_0_1929,plain,
( join(converse(converse(X_9)),X_180) != join(X_9,X_180)
| join(X_179,join(converse(converse(X_9)),X_180)) = join(X_179,join(X_9,X_180)) ),
inference(resolve,[$cnf( $equal(join(X_179,join(converse(converse(X_9)),X_180)),join(X_179,join(converse(converse(X_9)),X_180))) )],[refute_0_1927,refute_0_1928]) ).
cnf(refute_0_1930,plain,
join(X_179,join(converse(converse(X_9)),X_180)) = join(X_179,join(X_9,X_180)),
inference(resolve,[$cnf( $equal(join(converse(converse(X_9)),X_180),join(X_9,X_180)) )],[refute_0_1926,refute_0_1929]) ).
cnf(refute_0_1931,plain,
converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) = join(X_179,join(converse(converse(X_9)),X_180)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(X_179,join(converse(converse(X_9)),X_180))))]]) ).
cnf(refute_0_1932,plain,
( converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) != join(X_179,join(converse(converse(X_9)),X_180))
| join(X_179,join(converse(converse(X_9)),X_180)) != join(X_179,join(X_9,X_180))
| converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) = join(X_179,join(X_9,X_180)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))))),bind(Y,$fot(join(X_179,join(converse(converse(X_9)),X_180)))),bind(Z,$fot(join(X_179,join(X_9,X_180))))]]) ).
cnf(refute_0_1933,plain,
( join(X_179,join(converse(converse(X_9)),X_180)) != join(X_179,join(X_9,X_180))
| converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) = join(X_179,join(X_9,X_180)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))),join(X_179,join(converse(converse(X_9)),X_180))) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) = join(X_179,join(X_9,X_180)),
inference(resolve,[$cnf( $equal(join(X_179,join(converse(converse(X_9)),X_180)),join(X_179,join(X_9,X_180))) )],[refute_0_1930,refute_0_1933]) ).
cnf(refute_0_1935,plain,
( converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) != join(X_179,join(X_9,X_180))
| converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) != join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))
| join(X_179,join(X_9,X_180)) = join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))),join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))) ),[0],$fot(join(X_179,join(X_9,X_180)))]]) ).
cnf(refute_0_1936,plain,
( converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) != join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))
| join(X_179,join(X_9,X_180)) = join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))),join(X_179,join(X_9,X_180))) )],[refute_0_1934,refute_0_1935]) ).
cnf(refute_0_1937,plain,
converse(converse(X_179)) = X_179,
inference(subst,[],[refute_0_59:[bind(X0,$fot(X_179))]]) ).
cnf(refute_0_1938,plain,
join(X_180,converse(converse(X_179))) = join(X_180,converse(converse(X_179))),
introduced(tautology,[refl,[$fot(join(X_180,converse(converse(X_179))))]]) ).
cnf(refute_0_1939,plain,
( converse(converse(X_179)) != X_179
| join(X_180,converse(converse(X_179))) != join(X_180,converse(converse(X_179)))
| join(X_180,converse(converse(X_179))) = join(X_180,X_179) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_180,converse(converse(X_179))),join(X_180,converse(converse(X_179)))) ),[1,1],$fot(X_179)]]) ).
cnf(refute_0_1940,plain,
( converse(converse(X_179)) != X_179
| join(X_180,converse(converse(X_179))) = join(X_180,X_179) ),
inference(resolve,[$cnf( $equal(join(X_180,converse(converse(X_179))),join(X_180,converse(converse(X_179)))) )],[refute_0_1938,refute_0_1939]) ).
cnf(refute_0_1941,plain,
join(X_180,converse(converse(X_179))) = join(X_180,X_179),
inference(resolve,[$cnf( $equal(converse(converse(X_179)),X_179) )],[refute_0_1937,refute_0_1940]) ).
cnf(refute_0_1942,plain,
converse(join(converse(X_180),converse(X_179))) = join(X_180,converse(converse(X_179))),
inference(subst,[],[refute_0_413:[bind(X0,$fot(X_180)),bind(X_7,$fot(converse(X_179)))]]) ).
cnf(refute_0_1943,plain,
( converse(join(converse(X_180),converse(X_179))) != join(X_180,converse(converse(X_179)))
| join(X_180,converse(converse(X_179))) != join(X_180,X_179)
| converse(join(converse(X_180),converse(X_179))) = join(X_180,X_179) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X_180),converse(X_179))))),bind(Y,$fot(join(X_180,converse(converse(X_179))))),bind(Z,$fot(join(X_180,X_179)))]]) ).
cnf(refute_0_1944,plain,
( join(X_180,converse(converse(X_179))) != join(X_180,X_179)
| converse(join(converse(X_180),converse(X_179))) = join(X_180,X_179) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_180),converse(X_179))),join(X_180,converse(converse(X_179)))) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
converse(join(converse(X_180),converse(X_179))) = join(X_180,X_179),
inference(resolve,[$cnf( $equal(join(X_180,converse(converse(X_179))),join(X_180,X_179)) )],[refute_0_1941,refute_0_1944]) ).
cnf(refute_0_1946,plain,
join(X_9,converse(join(converse(X_180),converse(X_179)))) = join(X_9,converse(join(converse(X_180),converse(X_179)))),
introduced(tautology,[refl,[$fot(join(X_9,converse(join(converse(X_180),converse(X_179)))))]]) ).
cnf(refute_0_1947,plain,
( converse(join(converse(X_180),converse(X_179))) != join(X_180,X_179)
| join(X_9,converse(join(converse(X_180),converse(X_179)))) != join(X_9,converse(join(converse(X_180),converse(X_179))))
| join(X_9,converse(join(converse(X_180),converse(X_179)))) = join(X_9,join(X_180,X_179)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_9,converse(join(converse(X_180),converse(X_179)))),join(X_9,converse(join(converse(X_180),converse(X_179))))) ),[1,1],$fot(join(X_180,X_179))]]) ).
cnf(refute_0_1948,plain,
( converse(join(converse(X_180),converse(X_179))) != join(X_180,X_179)
| join(X_9,converse(join(converse(X_180),converse(X_179)))) = join(X_9,join(X_180,X_179)) ),
inference(resolve,[$cnf( $equal(join(X_9,converse(join(converse(X_180),converse(X_179)))),join(X_9,converse(join(converse(X_180),converse(X_179))))) )],[refute_0_1946,refute_0_1947]) ).
cnf(refute_0_1949,plain,
join(X_9,converse(join(converse(X_180),converse(X_179)))) = join(X_9,join(X_180,X_179)),
inference(resolve,[$cnf( $equal(converse(join(converse(X_180),converse(X_179))),join(X_180,X_179)) )],[refute_0_1945,refute_0_1948]) ).
cnf(refute_0_1950,plain,
converse(join(converse(X_179),join(converse(X_9),converse(X_180)))) = join(X_9,converse(join(converse(X_180),converse(X_179)))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(converse(X_179))),bind(X_180,$fot(converse(X_180))),bind(X_181,$fot(X_9))]]) ).
cnf(refute_0_1951,plain,
join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) = converse(join(converse(X_179),join(converse(X_9),converse(X_180)))),
inference(subst,[],[refute_0_844:[bind(X_6,$fot(converse(X_179))),bind(X_8,$fot(converse(X_180)))]]) ).
cnf(refute_0_1952,plain,
( converse(join(converse(X_179),join(converse(X_9),converse(X_180)))) != join(X_9,converse(join(converse(X_180),converse(X_179))))
| join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) != converse(join(converse(X_179),join(converse(X_9),converse(X_180))))
| join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) = join(X_9,converse(join(converse(X_180),converse(X_179)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))))),bind(Y,$fot(converse(join(converse(X_179),join(converse(X_9),converse(X_180)))))),bind(Z,$fot(join(X_9,converse(join(converse(X_180),converse(X_179))))))]]) ).
cnf(refute_0_1953,plain,
( converse(join(converse(X_179),join(converse(X_9),converse(X_180)))) != join(X_9,converse(join(converse(X_180),converse(X_179))))
| join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) = join(X_9,converse(join(converse(X_180),converse(X_179)))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))),converse(join(converse(X_179),join(converse(X_9),converse(X_180))))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) = join(X_9,converse(join(converse(X_180),converse(X_179)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_179),join(converse(X_9),converse(X_180)))),join(X_9,converse(join(converse(X_180),converse(X_179))))) )],[refute_0_1950,refute_0_1953]) ).
cnf(refute_0_1955,plain,
( join(X_9,converse(join(converse(X_180),converse(X_179)))) != join(X_9,join(X_180,X_179))
| join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) != join(X_9,converse(join(converse(X_180),converse(X_179))))
| join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) = join(X_9,join(X_180,X_179)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))))),bind(Y,$fot(join(X_9,converse(join(converse(X_180),converse(X_179)))))),bind(Z,$fot(join(X_9,join(X_180,X_179))))]]) ).
cnf(refute_0_1956,plain,
( join(X_9,converse(join(converse(X_180),converse(X_179)))) != join(X_9,join(X_180,X_179))
| join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) = join(X_9,join(X_180,X_179)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))),join(X_9,converse(join(converse(X_180),converse(X_179))))) )],[refute_0_1954,refute_0_1955]) ).
cnf(refute_0_1957,plain,
join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) = join(X_9,join(X_180,X_179)),
inference(resolve,[$cnf( $equal(join(X_9,converse(join(converse(X_180),converse(X_179)))),join(X_9,join(X_180,X_179))) )],[refute_0_1949,refute_0_1956]) ).
cnf(refute_0_1958,plain,
( join(X_179,join(X_9,X_180)) != join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))
| join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))) != join(X_9,join(X_180,X_179))
| join(X_179,join(X_9,X_180)) = join(X_9,join(X_180,X_179)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_179,join(X_9,X_180)),join(X_9,join(X_180,X_179))) ),[0],$fot(join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))))]]) ).
cnf(refute_0_1959,plain,
( join(X_179,join(X_9,X_180)) != join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))
| join(X_179,join(X_9,X_180)) = join(X_9,join(X_180,X_179)) ),
inference(resolve,[$cnf( $equal(join(converse(converse(X_179)),join(X_9,converse(converse(X_180)))),join(X_9,join(X_180,X_179))) )],[refute_0_1957,refute_0_1958]) ).
cnf(refute_0_1960,plain,
( converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))) != join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))
| join(X_179,join(X_9,X_180)) = join(X_9,join(X_180,X_179)) ),
inference(resolve,[$cnf( $equal(join(X_179,join(X_9,X_180)),join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))) )],[refute_0_1936,refute_0_1959]) ).
cnf(refute_0_1961,plain,
join(X_179,join(X_9,X_180)) = join(X_9,join(X_180,X_179)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_179,join(converse(converse(X_9)),X_180)))),join(converse(converse(X_179)),join(X_9,converse(converse(X_180))))) )],[refute_0_1921,refute_0_1960]) ).
cnf(refute_0_1962,plain,
join(converse(join(one,X_298)),join(one,X_297)) = join(one,join(X_297,converse(join(one,X_298)))),
inference(subst,[],[refute_0_1961:[bind(X_179,$fot(converse(join(one,X_298)))),bind(X_180,$fot(X_297)),bind(X_9,$fot(one))]]) ).
cnf(refute_0_1963,plain,
converse(join(one,join(X_298,converse(join(one,X_297))))) = join(converse(join(one,X_298)),join(one,X_297)),
inference(subst,[],[refute_0_814:[bind(X0,$fot(join(one,X_297))),bind(X_63,$fot(one)),bind(X_64,$fot(X_298))]]) ).
cnf(refute_0_1964,plain,
( converse(join(one,join(X_298,converse(join(one,X_297))))) != join(converse(join(one,X_298)),join(one,X_297))
| join(converse(join(one,X_298)),join(one,X_297)) != join(one,join(X_297,converse(join(one,X_298))))
| converse(join(one,join(X_298,converse(join(one,X_297))))) = join(one,join(X_297,converse(join(one,X_298)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(X_298,converse(join(one,X_297))))))),bind(Y,$fot(join(converse(join(one,X_298)),join(one,X_297)))),bind(Z,$fot(join(one,join(X_297,converse(join(one,X_298))))))]]) ).
cnf(refute_0_1965,plain,
( join(converse(join(one,X_298)),join(one,X_297)) != join(one,join(X_297,converse(join(one,X_298))))
| converse(join(one,join(X_298,converse(join(one,X_297))))) = join(one,join(X_297,converse(join(one,X_298)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_298,converse(join(one,X_297))))),join(converse(join(one,X_298)),join(one,X_297))) )],[refute_0_1963,refute_0_1964]) ).
cnf(refute_0_1966,plain,
converse(join(one,join(X_298,converse(join(one,X_297))))) = join(one,join(X_297,converse(join(one,X_298)))),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_298)),join(one,X_297)),join(one,join(X_297,converse(join(one,X_298))))) )],[refute_0_1962,refute_0_1965]) ).
cnf(refute_0_1967,plain,
( converse(join(one,join(X_298,converse(join(one,X_297))))) != join(one,join(X_297,converse(join(one,X_298))))
| join(X_297,converse(join(X_298,one))) != converse(join(one,join(X_298,converse(join(one,X_297)))))
| join(X_297,converse(join(X_298,one))) = join(one,join(X_297,converse(join(one,X_298)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,converse(join(X_298,one))),converse(join(one,join(X_298,converse(join(one,X_297)))))) ),[1],$fot(join(one,join(X_297,converse(join(one,X_298)))))]]) ).
cnf(refute_0_1968,plain,
( join(X_297,converse(join(X_298,one))) != converse(join(one,join(X_298,converse(join(one,X_297)))))
| join(X_297,converse(join(X_298,one))) = join(one,join(X_297,converse(join(one,X_298)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_298,converse(join(one,X_297))))),join(one,join(X_297,converse(join(one,X_298))))) )],[refute_0_1966,refute_0_1967]) ).
cnf(refute_0_1969,plain,
( converse(join(one,join(join(converse(X_297),X_298),one))) != converse(join(one,join(X_298,converse(join(one,X_297)))))
| join(X_297,converse(join(X_298,one))) = join(one,join(X_297,converse(join(one,X_298)))) ),
inference(resolve,[$cnf( $equal(join(X_297,converse(join(X_298,one))),converse(join(one,join(X_298,converse(join(one,X_297)))))) )],[refute_0_1914,refute_0_1968]) ).
cnf(refute_0_1970,plain,
join(X_297,converse(join(X_298,one))) = join(one,join(X_297,converse(join(one,X_298)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(join(converse(X_297),X_298),one))),converse(join(one,join(X_298,converse(join(one,X_297)))))) )],[refute_0_1775,refute_0_1969]) ).
cnf(refute_0_1971,plain,
( join(X_297,converse(join(X_298,one))) != join(one,join(X_297,converse(join(one,X_298))))
| join(one,join(X_297,converse(join(one,X_298)))) = join(X_297,converse(join(X_298,one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_297,converse(join(X_298,one))))),bind(Y,$fot(join(one,join(X_297,converse(join(one,X_298))))))]]) ).
cnf(refute_0_1972,plain,
join(one,join(X_297,converse(join(one,X_298)))) = join(X_297,converse(join(X_298,one))),
inference(resolve,[$cnf( $equal(join(X_297,converse(join(X_298,one))),join(one,join(X_297,converse(join(one,X_298))))) )],[refute_0_1970,refute_0_1971]) ).
cnf(refute_0_1973,plain,
join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) = join(X_298,converse(join(complement(converse(join(X_298,one))),one))),
inference(subst,[],[refute_0_1972:[bind(X_297,$fot(X_298)),bind(X_298,$fot(complement(converse(join(X_298,one)))))]]) ).
cnf(refute_0_1974,plain,
( join(X_298,converse(join(complement(converse(join(X_298,one))),one))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) != join(X_298,converse(join(complement(converse(join(X_298,one))),one)))
| join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))))),bind(Y,$fot(join(X_298,converse(join(complement(converse(join(X_298,one))),one))))),bind(Z,$fot(join(X_298,converse(join(one,complement(converse(join(X_298,one))))))))]]) ).
cnf(refute_0_1975,plain,
( join(X_298,converse(join(complement(converse(join(X_298,one))),one))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))),join(X_298,converse(join(complement(converse(join(X_298,one))),one)))) )],[refute_0_1973,refute_0_1974]) ).
cnf(refute_0_1976,plain,
join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))),
inference(resolve,[$cnf( $equal(join(X_298,converse(join(complement(converse(join(X_298,one))),one))),join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) )],[refute_0_1770,refute_0_1975]) ).
cnf(refute_0_1977,plain,
converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(X0,converse(join(one,join(one,join(one,one))))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(join(one,join(one,join(one,one)))))]]) ).
cnf(refute_0_1978,plain,
converse(join(one,join(one,join(one,one)))) = join(one,converse(join(one,join(one,one)))),
inference(subst,[],[refute_0_664:[bind(X_7,$fot(join(one,join(one,one))))]]) ).
cnf(refute_0_1979,plain,
converse(join(one,join(one,one))) = join(one,converse(join(one,one))),
inference(subst,[],[refute_0_664:[bind(X_7,$fot(join(one,one)))]]) ).
cnf(refute_0_1980,plain,
( converse(join(one,join(one,one))) != join(one,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| converse(join(one,join(one,one))) = join(one,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,one))),join(one,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_1981,plain,
( converse(join(one,join(one,one))) != join(one,converse(join(one,one)))
| converse(join(one,join(one,one))) = join(one,join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_1780,refute_0_1980]) ).
cnf(refute_0_1982,plain,
converse(join(one,join(one,one))) = join(one,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,converse(join(one,one)))) )],[refute_0_1979,refute_0_1981]) ).
cnf(refute_0_1983,plain,
( converse(join(one,join(one,join(one,one)))) != join(one,converse(join(one,join(one,one))))
| converse(join(one,join(one,one))) != join(one,join(one,one))
| converse(join(one,join(one,join(one,one)))) = join(one,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,converse(join(one,join(one,one))))) ),[1,1],$fot(join(one,join(one,one)))]]) ).
cnf(refute_0_1984,plain,
( converse(join(one,join(one,join(one,one)))) != join(one,converse(join(one,join(one,one))))
| converse(join(one,join(one,join(one,one)))) = join(one,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,join(one,one))) )],[refute_0_1982,refute_0_1983]) ).
cnf(refute_0_1985,plain,
converse(join(one,join(one,join(one,one)))) = join(one,join(one,join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,converse(join(one,join(one,one))))) )],[refute_0_1978,refute_0_1984]) ).
cnf(refute_0_1986,plain,
( converse(join(converse(X0),join(one,join(one,join(one,one))))) != join(X0,converse(join(one,join(one,join(one,one)))))
| converse(join(one,join(one,join(one,one)))) != join(one,join(one,join(one,one)))
| converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(X0,join(one,join(one,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,join(one,join(one,one))))),join(X0,converse(join(one,join(one,join(one,one)))))) ),[1,1],$fot(join(one,join(one,join(one,one))))]]) ).
cnf(refute_0_1987,plain,
( converse(join(converse(X0),join(one,join(one,join(one,one))))) != join(X0,converse(join(one,join(one,join(one,one)))))
| converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(X0,join(one,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,join(one,join(one,one)))) )],[refute_0_1985,refute_0_1986]) ).
cnf(refute_0_1988,plain,
converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(X0,join(one,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,join(one,join(one,one))))),join(X0,converse(join(one,join(one,join(one,one)))))) )],[refute_0_1977,refute_0_1987]) ).
cnf(refute_0_1989,plain,
join(X0,converse(join(one,join(one,one)))) = join(X0,converse(join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X0,converse(join(one,join(one,one)))))]]) ).
cnf(refute_0_1990,plain,
( converse(join(one,join(one,one))) != join(one,join(one,one))
| join(X0,converse(join(one,join(one,one)))) != join(X0,converse(join(one,join(one,one))))
| join(X0,converse(join(one,join(one,one)))) = join(X0,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(join(one,join(one,one)))),join(X0,converse(join(one,join(one,one))))) ),[1,1],$fot(join(one,join(one,one)))]]) ).
cnf(refute_0_1991,plain,
( converse(join(one,join(one,one))) != join(one,join(one,one))
| join(X0,converse(join(one,join(one,one)))) = join(X0,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(join(one,join(one,one)))),join(X0,converse(join(one,join(one,one))))) )],[refute_0_1989,refute_0_1990]) ).
cnf(refute_0_1992,plain,
join(X0,converse(join(one,join(one,one)))) = join(X0,join(one,join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,one))),join(one,join(one,one))) )],[refute_0_1982,refute_0_1991]) ).
cnf(refute_0_1993,plain,
join(one,join(X0,converse(join(one,join(one,one))))) = join(one,join(X0,converse(join(one,join(one,one))))),
introduced(tautology,[refl,[$fot(join(one,join(X0,converse(join(one,join(one,one))))))]]) ).
cnf(refute_0_1994,plain,
( join(X0,converse(join(one,join(one,one)))) != join(X0,join(one,join(one,one)))
| join(one,join(X0,converse(join(one,join(one,one))))) != join(one,join(X0,converse(join(one,join(one,one)))))
| join(one,join(X0,converse(join(one,join(one,one))))) = join(one,join(X0,join(one,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,converse(join(one,join(one,one))))),join(one,join(X0,converse(join(one,join(one,one)))))) ),[1,1],$fot(join(X0,join(one,join(one,one))))]]) ).
cnf(refute_0_1995,plain,
( join(X0,converse(join(one,join(one,one)))) != join(X0,join(one,join(one,one)))
| join(one,join(X0,converse(join(one,join(one,one))))) = join(one,join(X0,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(X0,converse(join(one,join(one,one))))),join(one,join(X0,converse(join(one,join(one,one)))))) )],[refute_0_1993,refute_0_1994]) ).
cnf(refute_0_1996,plain,
join(one,join(X0,converse(join(one,join(one,one))))) = join(one,join(X0,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(one,join(one,one)))),join(X0,join(one,join(one,one)))) )],[refute_0_1992,refute_0_1995]) ).
cnf(refute_0_1997,plain,
converse(join(one,join(converse(X0),X_7))) = join(one,converse(join(converse(X0),X_7))),
inference(subst,[],[refute_0_664:[bind(X_7,$fot(join(converse(X0),X_7)))]]) ).
cnf(refute_0_1998,plain,
( converse(join(converse(X0),X_7)) != join(X0,converse(X_7))
| converse(join(one,join(converse(X0),X_7))) != join(one,converse(join(converse(X0),X_7)))
| converse(join(one,join(converse(X0),X_7))) = join(one,join(X0,converse(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(X0),X_7))),join(one,converse(join(converse(X0),X_7)))) ),[1,1],$fot(join(X0,converse(X_7)))]]) ).
cnf(refute_0_1999,plain,
( converse(join(one,join(converse(X0),X_7))) != join(one,converse(join(converse(X0),X_7)))
| converse(join(one,join(converse(X0),X_7))) = join(one,join(X0,converse(X_7))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_7)),join(X0,converse(X_7))) )],[refute_0_413,refute_0_1998]) ).
cnf(refute_0_2000,plain,
converse(join(one,join(converse(X0),X_7))) = join(one,join(X0,converse(X_7))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X0),X_7))),join(one,converse(join(converse(X0),X_7)))) )],[refute_0_1997,refute_0_1999]) ).
cnf(refute_0_2001,plain,
converse(join(one,join(converse(X0),join(one,join(one,one))))) = join(one,join(X0,converse(join(one,join(one,one))))),
inference(subst,[],[refute_0_2000:[bind(X_7,$fot(join(one,join(one,one))))]]) ).
cnf(refute_0_2002,plain,
converse(join(join(X_57,one),X1)) = join(converse(join(X_57,one)),converse(X1)),
inference(subst,[],[refute_0_409:[bind(X0,$fot(join(X_57,one)))]]) ).
cnf(refute_0_2003,plain,
( converse(join(X_57,one)) != converse(join(one,X_57))
| converse(join(join(X_57,one),X1)) != join(converse(join(X_57,one)),converse(X1))
| converse(join(join(X_57,one),X1)) = join(converse(join(one,X_57)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_57,one),X1)),join(converse(join(X_57,one)),converse(X1))) ),[1,0],$fot(converse(join(one,X_57)))]]) ).
cnf(refute_0_2004,plain,
( converse(join(join(X_57,one),X1)) != join(converse(join(X_57,one)),converse(X1))
| converse(join(join(X_57,one),X1)) = join(converse(join(one,X_57)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_57,one)),converse(join(one,X_57))) )],[refute_0_1744,refute_0_2003]) ).
cnf(refute_0_2005,plain,
converse(join(join(X_57,one),X1)) = join(converse(join(one,X_57)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,one),X1)),join(converse(join(X_57,one)),converse(X1))) )],[refute_0_2002,refute_0_2004]) ).
cnf(refute_0_2006,plain,
join(join(X_57,one),X1) = join(X_57,join(one,X1)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_57)),bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2007,plain,
converse(join(join(X_57,one),X1)) = converse(join(join(X_57,one),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_57,one),X1)))]]) ).
cnf(refute_0_2008,plain,
( converse(join(join(X_57,one),X1)) != converse(join(join(X_57,one),X1))
| join(join(X_57,one),X1) != join(X_57,join(one,X1))
| converse(join(join(X_57,one),X1)) = converse(join(X_57,join(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_57,one),X1)),converse(join(join(X_57,one),X1))) ),[1,0],$fot(join(X_57,join(one,X1)))]]) ).
cnf(refute_0_2009,plain,
( join(join(X_57,one),X1) != join(X_57,join(one,X1))
| converse(join(join(X_57,one),X1)) = converse(join(X_57,join(one,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,one),X1)),converse(join(join(X_57,one),X1))) )],[refute_0_2007,refute_0_2008]) ).
cnf(refute_0_2010,plain,
converse(join(join(X_57,one),X1)) = converse(join(X_57,join(one,X1))),
inference(resolve,[$cnf( $equal(join(join(X_57,one),X1),join(X_57,join(one,X1))) )],[refute_0_2006,refute_0_2009]) ).
cnf(refute_0_2011,plain,
( converse(join(join(X_57,one),X1)) != converse(join(X_57,join(one,X1)))
| converse(join(join(X_57,one),X1)) != join(converse(join(one,X_57)),converse(X1))
| converse(join(X_57,join(one,X1))) = join(converse(join(one,X_57)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_57,one),X1)),join(converse(join(one,X_57)),converse(X1))) ),[0],$fot(converse(join(X_57,join(one,X1))))]]) ).
cnf(refute_0_2012,plain,
( converse(join(join(X_57,one),X1)) != join(converse(join(one,X_57)),converse(X1))
| converse(join(X_57,join(one,X1))) = join(converse(join(one,X_57)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,one),X1)),converse(join(X_57,join(one,X1)))) )],[refute_0_2010,refute_0_2011]) ).
cnf(refute_0_2013,plain,
join(join(one,X_57),X1) = join(one,join(X_57,X1)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(X_57)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2014,plain,
converse(join(join(one,X_57),X1)) = converse(join(join(one,X_57),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(one,X_57),X1)))]]) ).
cnf(refute_0_2015,plain,
( converse(join(join(one,X_57),X1)) != converse(join(join(one,X_57),X1))
| join(join(one,X_57),X1) != join(one,join(X_57,X1))
| converse(join(join(one,X_57),X1)) = converse(join(one,join(X_57,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,X_57),X1)),converse(join(join(one,X_57),X1))) ),[1,0],$fot(join(one,join(X_57,X1)))]]) ).
cnf(refute_0_2016,plain,
( join(join(one,X_57),X1) != join(one,join(X_57,X1))
| converse(join(join(one,X_57),X1)) = converse(join(one,join(X_57,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,X_57),X1)),converse(join(join(one,X_57),X1))) )],[refute_0_2014,refute_0_2015]) ).
cnf(refute_0_2017,plain,
converse(join(join(one,X_57),X1)) = converse(join(one,join(X_57,X1))),
inference(resolve,[$cnf( $equal(join(join(one,X_57),X1),join(one,join(X_57,X1))) )],[refute_0_2013,refute_0_2016]) ).
cnf(refute_0_2018,plain,
join(converse(join(one,X_57)),converse(X1)) = converse(join(join(one,X_57),X1)),
inference(subst,[],[refute_0_430:[bind(X0,$fot(join(one,X_57)))]]) ).
cnf(refute_0_2019,plain,
( converse(join(join(one,X_57),X1)) != converse(join(one,join(X_57,X1)))
| join(converse(join(one,X_57)),converse(X1)) != converse(join(join(one,X_57),X1))
| join(converse(join(one,X_57)),converse(X1)) = converse(join(one,join(X_57,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,X_57)),converse(X1)))),bind(Y,$fot(converse(join(join(one,X_57),X1)))),bind(Z,$fot(converse(join(one,join(X_57,X1)))))]]) ).
cnf(refute_0_2020,plain,
( converse(join(join(one,X_57),X1)) != converse(join(one,join(X_57,X1)))
| join(converse(join(one,X_57)),converse(X1)) = converse(join(one,join(X_57,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_57)),converse(X1)),converse(join(join(one,X_57),X1))) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
join(converse(join(one,X_57)),converse(X1)) = converse(join(one,join(X_57,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(one,X_57),X1)),converse(join(one,join(X_57,X1)))) )],[refute_0_2017,refute_0_2020]) ).
cnf(refute_0_2022,plain,
( converse(join(X_57,join(one,X1))) != join(converse(join(one,X_57)),converse(X1))
| join(converse(join(one,X_57)),converse(X1)) != converse(join(one,join(X_57,X1)))
| converse(join(X_57,join(one,X1))) = converse(join(one,join(X_57,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_57,join(one,X1))),converse(join(one,join(X_57,X1)))) ),[0],$fot(join(converse(join(one,X_57)),converse(X1)))]]) ).
cnf(refute_0_2023,plain,
( converse(join(X_57,join(one,X1))) != join(converse(join(one,X_57)),converse(X1))
| converse(join(X_57,join(one,X1))) = converse(join(one,join(X_57,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,X_57)),converse(X1)),converse(join(one,join(X_57,X1)))) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
( converse(join(join(X_57,one),X1)) != join(converse(join(one,X_57)),converse(X1))
| converse(join(X_57,join(one,X1))) = converse(join(one,join(X_57,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_57,join(one,X1))),join(converse(join(one,X_57)),converse(X1))) )],[refute_0_2012,refute_0_2023]) ).
cnf(refute_0_2025,plain,
converse(join(X_57,join(one,X1))) = converse(join(one,join(X_57,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_57,one),X1)),join(converse(join(one,X_57)),converse(X1))) )],[refute_0_2005,refute_0_2024]) ).
cnf(refute_0_2026,plain,
converse(join(converse(X0),join(one,join(one,join(one,one))))) = converse(join(one,join(converse(X0),join(one,join(one,one))))),
inference(subst,[],[refute_0_2025:[bind(X1,$fot(join(one,join(one,one)))),bind(X_57,$fot(converse(X0)))]]) ).
cnf(refute_0_2027,plain,
( converse(join(converse(X0),join(one,join(one,join(one,one))))) != converse(join(one,join(converse(X0),join(one,join(one,one)))))
| converse(join(one,join(converse(X0),join(one,join(one,one))))) != join(one,join(X0,converse(join(one,join(one,one)))))
| converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(one,join(X0,converse(join(one,join(one,one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(one,join(one,join(one,one))))))),bind(Y,$fot(converse(join(one,join(converse(X0),join(one,join(one,one))))))),bind(Z,$fot(join(one,join(X0,converse(join(one,join(one,one)))))))]]) ).
cnf(refute_0_2028,plain,
( converse(join(one,join(converse(X0),join(one,join(one,one))))) != join(one,join(X0,converse(join(one,join(one,one)))))
| converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(one,join(X0,converse(join(one,join(one,one))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,join(one,join(one,one))))),converse(join(one,join(converse(X0),join(one,join(one,one)))))) )],[refute_0_2026,refute_0_2027]) ).
cnf(refute_0_2029,plain,
converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(one,join(X0,converse(join(one,join(one,one))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X0),join(one,join(one,one))))),join(one,join(X0,converse(join(one,join(one,one)))))) )],[refute_0_2001,refute_0_2028]) ).
cnf(refute_0_2030,plain,
( converse(join(converse(X0),join(one,join(one,join(one,one))))) != join(one,join(X0,converse(join(one,join(one,one)))))
| join(one,join(X0,converse(join(one,join(one,one))))) != join(one,join(X0,join(one,join(one,one))))
| converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(one,join(X0,join(one,join(one,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(one,join(one,join(one,one))))))),bind(Y,$fot(join(one,join(X0,converse(join(one,join(one,one))))))),bind(Z,$fot(join(one,join(X0,join(one,join(one,one))))))]]) ).
cnf(refute_0_2031,plain,
( join(one,join(X0,converse(join(one,join(one,one))))) != join(one,join(X0,join(one,join(one,one))))
| converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(one,join(X0,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,join(one,join(one,one))))),join(one,join(X0,converse(join(one,join(one,one)))))) )],[refute_0_2029,refute_0_2030]) ).
cnf(refute_0_2032,plain,
converse(join(converse(X0),join(one,join(one,join(one,one))))) = join(one,join(X0,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(join(one,join(X0,converse(join(one,join(one,one))))),join(one,join(X0,join(one,join(one,one))))) )],[refute_0_1996,refute_0_2031]) ).
cnf(refute_0_2033,plain,
( converse(join(converse(X0),join(one,join(one,join(one,one))))) != join(X0,join(one,join(one,join(one,one))))
| converse(join(converse(X0),join(one,join(one,join(one,one))))) != join(one,join(X0,join(one,join(one,one))))
| join(one,join(X0,join(one,join(one,one)))) = join(X0,join(one,join(one,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,join(one,join(one,one))))),join(X0,join(one,join(one,join(one,one))))) ),[0],$fot(join(one,join(X0,join(one,join(one,one)))))]]) ).
cnf(refute_0_2034,plain,
( converse(join(converse(X0),join(one,join(one,join(one,one))))) != join(X0,join(one,join(one,join(one,one))))
| join(one,join(X0,join(one,join(one,one)))) = join(X0,join(one,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,join(one,join(one,one))))),join(one,join(X0,join(one,join(one,one))))) )],[refute_0_2032,refute_0_2033]) ).
cnf(refute_0_2035,plain,
join(one,join(X0,join(one,join(one,one)))) = join(X0,join(one,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,join(one,join(one,one))))),join(X0,join(one,join(one,join(one,one))))) )],[refute_0_1988,refute_0_2034]) ).
cnf(refute_0_2036,plain,
join(X0,join(X1,join(X0,X1))) = join(join(X0,X1),join(X0,X1)),
inference(subst,[],[refute_0_46:[bind(X2,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2037,plain,
composition(join(one,one),join(X0,X1)) = join(join(X0,X1),join(X0,X1)),
inference(subst,[],[refute_0_1423:[bind(X_115,$fot(join(X0,X1)))]]) ).
cnf(refute_0_2038,plain,
( composition(join(one,one),join(X0,X1)) != join(join(X0,X1),join(X0,X1))
| join(join(X0,X1),join(X0,X1)) = composition(join(one,one),join(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,one),join(X0,X1)))),bind(Y,$fot(join(join(X0,X1),join(X0,X1))))]]) ).
cnf(refute_0_2039,plain,
join(join(X0,X1),join(X0,X1)) = composition(join(one,one),join(X0,X1)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X0,X1)),join(join(X0,X1),join(X0,X1))) )],[refute_0_2037,refute_0_2038]) ).
cnf(refute_0_2040,plain,
( join(X0,join(X1,join(X0,X1))) != join(join(X0,X1),join(X0,X1))
| join(join(X0,X1),join(X0,X1)) != composition(join(one,one),join(X0,X1))
| join(X0,join(X1,join(X0,X1))) = composition(join(one,one),join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(X0,X1))),composition(join(one,one),join(X0,X1))) ),[0],$fot(join(join(X0,X1),join(X0,X1)))]]) ).
cnf(refute_0_2041,plain,
( join(X0,join(X1,join(X0,X1))) != join(join(X0,X1),join(X0,X1))
| join(X0,join(X1,join(X0,X1))) = composition(join(one,one),join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X0,X1)),composition(join(one,one),join(X0,X1))) )],[refute_0_2039,refute_0_2040]) ).
cnf(refute_0_2042,plain,
join(X0,join(X1,join(X0,X1))) = composition(join(one,one),join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X0,X1))),join(join(X0,X1),join(X0,X1))) )],[refute_0_2036,refute_0_2041]) ).
cnf(refute_0_2043,plain,
join(one,join(one,join(one,one))) = composition(join(one,one),join(one,one)),
inference(subst,[],[refute_0_2042:[bind(X0,$fot(one)),bind(X1,$fot(one))]]) ).
cnf(refute_0_2044,plain,
join(X0,join(one,join(one,join(one,one)))) = join(X0,join(one,join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X0,join(one,join(one,join(one,one)))))]]) ).
cnf(refute_0_2045,plain,
( join(X0,join(one,join(one,join(one,one)))) != join(X0,join(one,join(one,join(one,one))))
| join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| join(X0,join(one,join(one,join(one,one)))) = join(X0,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,join(one,join(one,one)))),join(X0,join(one,join(one,join(one,one))))) ),[1,1],$fot(composition(join(one,one),join(one,one)))]]) ).
cnf(refute_0_2046,plain,
( join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| join(X0,join(one,join(one,join(one,one)))) = join(X0,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(one,join(one,one)))),join(X0,join(one,join(one,join(one,one))))) )],[refute_0_2044,refute_0_2045]) ).
cnf(refute_0_2047,plain,
join(X0,join(one,join(one,join(one,one)))) = join(X0,composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,one))),composition(join(one,one),join(one,one))) )],[refute_0_2043,refute_0_2046]) ).
cnf(refute_0_2048,plain,
( join(X0,join(one,join(one,join(one,one)))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,join(one,join(one,one)))) != join(X0,join(one,join(one,join(one,one))))
| join(one,join(X0,join(one,join(one,one)))) = join(X0,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,join(one,join(one,one)))),join(X0,join(one,join(one,join(one,one))))) ),[1],$fot(join(X0,composition(join(one,one),join(one,one))))]]) ).
cnf(refute_0_2049,plain,
( join(one,join(X0,join(one,join(one,one)))) != join(X0,join(one,join(one,join(one,one))))
| join(one,join(X0,join(one,join(one,one)))) = join(X0,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(one,join(one,one)))),join(X0,composition(join(one,one),join(one,one)))) )],[refute_0_2047,refute_0_2048]) ).
cnf(refute_0_2050,plain,
join(one,join(X0,join(one,join(one,one)))) = join(X0,composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,join(one,one)))),join(X0,join(one,join(one,join(one,one))))) )],[refute_0_2035,refute_0_2049]) ).
cnf(refute_0_2051,plain,
join(one,join(one,one)) = join(one,one),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(one)),bind(X_139,$fot(one))]]) ).
cnf(refute_0_2052,plain,
join(X0,join(one,join(one,one))) = join(X0,join(one,join(one,one))),
introduced(tautology,[refl,[$fot(join(X0,join(one,join(one,one))))]]) ).
cnf(refute_0_2053,plain,
( join(X0,join(one,join(one,one))) != join(X0,join(one,join(one,one)))
| join(one,join(one,one)) != join(one,one)
| join(X0,join(one,join(one,one))) = join(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,join(one,one))),join(X0,join(one,join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_2054,plain,
( join(one,join(one,one)) != join(one,one)
| join(X0,join(one,join(one,one))) = join(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(one,one))),join(X0,join(one,join(one,one)))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
join(X0,join(one,join(one,one))) = join(X0,join(one,one)),
inference(resolve,[$cnf( $equal(join(one,join(one,one)),join(one,one)) )],[refute_0_2051,refute_0_2054]) ).
cnf(refute_0_2056,plain,
join(one,join(X0,join(one,join(one,one)))) = join(one,join(X0,join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(join(one,join(X0,join(one,join(one,one)))))]]) ).
cnf(refute_0_2057,plain,
( join(X0,join(one,join(one,one))) != join(X0,join(one,one))
| join(one,join(X0,join(one,join(one,one)))) != join(one,join(X0,join(one,join(one,one))))
| join(one,join(X0,join(one,join(one,one)))) = join(one,join(X0,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,join(one,join(one,one)))),join(one,join(X0,join(one,join(one,one))))) ),[1,1],$fot(join(X0,join(one,one)))]]) ).
cnf(refute_0_2058,plain,
( join(X0,join(one,join(one,one))) != join(X0,join(one,one))
| join(one,join(X0,join(one,join(one,one)))) = join(one,join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,join(one,one)))),join(one,join(X0,join(one,join(one,one))))) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
join(one,join(X0,join(one,join(one,one)))) = join(one,join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(one,one))),join(X0,join(one,one))) )],[refute_0_2055,refute_0_2058]) ).
cnf(refute_0_2060,plain,
( join(one,join(X0,join(one,join(one,one)))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,join(one,join(one,one)))) != join(one,join(X0,join(one,one)))
| join(one,join(X0,join(one,one))) = join(X0,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,join(one,join(one,one)))),join(X0,composition(join(one,one),join(one,one)))) ),[0],$fot(join(one,join(X0,join(one,one))))]]) ).
cnf(refute_0_2061,plain,
( join(one,join(X0,join(one,join(one,one)))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,join(one,one))) = join(X0,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,join(one,one)))),join(one,join(X0,join(one,one)))) )],[refute_0_2059,refute_0_2060]) ).
cnf(refute_0_2062,plain,
join(one,join(X0,join(one,one))) = join(X0,composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,join(one,one)))),join(X0,composition(join(one,one),join(one,one)))) )],[refute_0_2050,refute_0_2061]) ).
cnf(refute_0_2063,plain,
composition(join(converse(complement(composition(join(one,one),top))),X_127),join(one,one)) = composition(X_127,join(one,one)),
inference(subst,[],[refute_0_1370:[bind(X_109,$fot(X_127)),bind(X_110,$fot(join(one,one)))]]) ).
cnf(refute_0_2064,plain,
composition(join(one,one),top) = join(top,top),
inference(subst,[],[refute_0_1423:[bind(X_115,$fot(top))]]) ).
cnf(refute_0_2065,plain,
( composition(join(converse(complement(composition(join(one,one),top))),X_127),join(one,one)) != composition(X_127,join(one,one))
| composition(join(one,one),top) != join(top,top)
| composition(join(converse(complement(join(top,top))),X_127),join(one,one)) = composition(X_127,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(join(one,one),top))),X_127),join(one,one)),composition(X_127,join(one,one))) ),[0,0,0,0,0],$fot(join(top,top))]]) ).
cnf(refute_0_2066,plain,
( composition(join(converse(complement(composition(join(one,one),top))),X_127),join(one,one)) != composition(X_127,join(one,one))
| composition(join(converse(complement(join(top,top))),X_127),join(one,one)) = composition(X_127,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),top),join(top,top)) )],[refute_0_2064,refute_0_2065]) ).
cnf(refute_0_2067,plain,
composition(join(converse(complement(join(top,top))),X_127),join(one,one)) = composition(X_127,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(join(one,one),top))),X_127),join(one,one)),composition(X_127,join(one,one))) )],[refute_0_2063,refute_0_2066]) ).
cnf(refute_0_2068,plain,
join(zero,X_127) = X_127,
inference(subst,[],[refute_0_178:[bind(X_31,$fot(X_127))]]) ).
cnf(refute_0_2069,plain,
meet(X_44,top) = meet(top,X_44),
inference(subst,[],[refute_0_517:[bind(X0,$fot(X_44))]]) ).
cnf(refute_0_2070,plain,
( X_44 != join(meet(X_44,top),meet(X_44,complement(top)))
| meet(X_44,top) != meet(top,X_44)
| X_44 = join(meet(top,X_44),meet(X_44,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_44,join(meet(X_44,top),meet(X_44,complement(top)))) ),[1,0],$fot(meet(top,X_44))]]) ).
cnf(refute_0_2071,plain,
( X_44 != join(meet(X_44,top),meet(X_44,complement(top)))
| X_44 = join(meet(top,X_44),meet(X_44,complement(top))) ),
inference(resolve,[$cnf( $equal(meet(X_44,top),meet(top,X_44)) )],[refute_0_2069,refute_0_2070]) ).
cnf(refute_0_2072,plain,
X_44 = join(meet(top,X_44),meet(X_44,complement(top))),
inference(resolve,[$cnf( $equal(X_44,join(meet(X_44,top),meet(X_44,complement(top)))) )],[refute_0_619,refute_0_2071]) ).
cnf(refute_0_2073,plain,
meet(X_44,complement(top)) = meet(X_44,complement(top)),
introduced(tautology,[refl,[$fot(meet(X_44,complement(top)))]]) ).
cnf(refute_0_2074,plain,
( complement(top) != zero
| meet(X_44,complement(top)) != meet(X_44,complement(top))
| meet(X_44,complement(top)) = meet(X_44,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_44,complement(top)),meet(X_44,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2075,plain,
( complement(top) != zero
| meet(X_44,complement(top)) = meet(X_44,zero) ),
inference(resolve,[$cnf( $equal(meet(X_44,complement(top)),meet(X_44,complement(top))) )],[refute_0_2073,refute_0_2074]) ).
cnf(refute_0_2076,plain,
meet(X_44,complement(top)) = meet(X_44,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2075]) ).
cnf(refute_0_2077,plain,
join(meet(top,X_44),meet(X_44,complement(top))) = join(meet(top,X_44),meet(X_44,complement(top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_44),meet(X_44,complement(top))))]]) ).
cnf(refute_0_2078,plain,
( join(meet(top,X_44),meet(X_44,complement(top))) != join(meet(top,X_44),meet(X_44,complement(top)))
| meet(X_44,complement(top)) != meet(X_44,zero)
| join(meet(top,X_44),meet(X_44,complement(top))) = join(meet(top,X_44),meet(X_44,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_44),meet(X_44,complement(top))),join(meet(top,X_44),meet(X_44,complement(top)))) ),[1,1],$fot(meet(X_44,zero))]]) ).
cnf(refute_0_2079,plain,
( meet(X_44,complement(top)) != meet(X_44,zero)
| join(meet(top,X_44),meet(X_44,complement(top))) = join(meet(top,X_44),meet(X_44,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_44),meet(X_44,complement(top))),join(meet(top,X_44),meet(X_44,complement(top)))) )],[refute_0_2077,refute_0_2078]) ).
cnf(refute_0_2080,plain,
join(meet(top,X_44),meet(X_44,complement(top))) = join(meet(top,X_44),meet(X_44,zero)),
inference(resolve,[$cnf( $equal(meet(X_44,complement(top)),meet(X_44,zero)) )],[refute_0_2076,refute_0_2079]) ).
cnf(refute_0_2081,plain,
( X_44 != join(meet(top,X_44),meet(X_44,complement(top)))
| join(meet(top,X_44),meet(X_44,complement(top))) != join(meet(top,X_44),meet(X_44,zero))
| X_44 = join(meet(top,X_44),meet(X_44,zero)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_44,join(meet(top,X_44),meet(X_44,zero))) ),[0],$fot(join(meet(top,X_44),meet(X_44,complement(top))))]]) ).
cnf(refute_0_2082,plain,
( X_44 != join(meet(top,X_44),meet(X_44,complement(top)))
| X_44 = join(meet(top,X_44),meet(X_44,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_44),meet(X_44,complement(top))),join(meet(top,X_44),meet(X_44,zero))) )],[refute_0_2080,refute_0_2081]) ).
cnf(refute_0_2083,plain,
X_44 = join(meet(top,X_44),meet(X_44,zero)),
inference(resolve,[$cnf( $equal(X_44,join(meet(top,X_44),meet(X_44,complement(top)))) )],[refute_0_2072,refute_0_2082]) ).
cnf(refute_0_2084,plain,
join(top,complement(zero)) = join(meet(top,join(top,complement(zero))),meet(join(top,complement(zero)),zero)),
inference(subst,[],[refute_0_2083:[bind(X_44,$fot(join(top,complement(zero))))]]) ).
cnf(refute_0_2085,plain,
meet(top,join(top,complement(zero))) = complement(join(zero,complement(join(top,complement(zero))))),
inference(subst,[],[refute_0_39:[bind(X1,$fot(join(top,complement(zero))))]]) ).
cnf(refute_0_2086,plain,
complement(top) = join(meet(top,complement(top)),complement(join(top,complement(complement(top))))),
inference(subst,[],[refute_0_1126:[bind(X_31,$fot(complement(top)))]]) ).
cnf(refute_0_2087,plain,
zero = meet(top,complement(top)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(top))]]) ).
cnf(refute_0_2088,plain,
( zero != meet(top,complement(top))
| meet(top,complement(top)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,complement(top))))]]) ).
cnf(refute_0_2089,plain,
meet(top,complement(top)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_2087,refute_0_2088]) ).
cnf(refute_0_2090,plain,
( complement(top) != join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))
| meet(top,complement(top)) != zero
| complement(top) = join(zero,complement(join(top,complement(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2091,plain,
( complement(top) != join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))
| complement(top) = join(zero,complement(join(top,complement(complement(top))))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(top)),zero) )],[refute_0_2089,refute_0_2090]) ).
cnf(refute_0_2092,plain,
complement(top) = join(zero,complement(join(top,complement(complement(top))))),
inference(resolve,[$cnf( $equal(complement(top),join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))) )],[refute_0_2086,refute_0_2091]) ).
cnf(refute_0_2093,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| complement(top) != zero
| zero = join(zero,complement(join(top,complement(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),join(zero,complement(join(top,complement(complement(top)))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_2094,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(complement(top))))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2093]) ).
cnf(refute_0_2095,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_2096,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_2097,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_2095,refute_0_2096]) ).
cnf(refute_0_2098,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2097]) ).
cnf(refute_0_2099,plain,
join(top,complement(complement(top))) = join(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(join(top,complement(complement(top))))]]) ).
cnf(refute_0_2100,plain,
( complement(complement(top)) != complement(zero)
| join(top,complement(complement(top))) != join(top,complement(complement(top)))
| join(top,complement(complement(top))) = join(top,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(complement(top)))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_2101,plain,
( complement(complement(top)) != complement(zero)
| join(top,complement(complement(top))) = join(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(complement(top)))) )],[refute_0_2099,refute_0_2100]) ).
cnf(refute_0_2102,plain,
join(top,complement(complement(top))) = join(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_2098,refute_0_2101]) ).
cnf(refute_0_2103,plain,
complement(join(top,complement(complement(top)))) = complement(join(top,complement(complement(top)))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(complement(top)))))]]) ).
cnf(refute_0_2104,plain,
( complement(join(top,complement(complement(top)))) != complement(join(top,complement(complement(top))))
| join(top,complement(complement(top))) != join(top,complement(zero))
| complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(complement(top))))) ),[1,0],$fot(join(top,complement(zero)))]]) ).
cnf(refute_0_2105,plain,
( join(top,complement(complement(top))) != join(top,complement(zero))
| complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(complement(top))))) )],[refute_0_2103,refute_0_2104]) ).
cnf(refute_0_2106,plain,
complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))),
inference(resolve,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(zero))) )],[refute_0_2102,refute_0_2105]) ).
cnf(refute_0_2107,plain,
join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(complement(top))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(top,complement(complement(top))))))]]) ).
cnf(refute_0_2108,plain,
( complement(join(top,complement(complement(top)))) != complement(join(top,complement(zero)))
| join(zero,complement(join(top,complement(complement(top))))) != join(zero,complement(join(top,complement(complement(top)))))
| join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(complement(top)))))) ),[1,1],$fot(complement(join(top,complement(zero))))]]) ).
cnf(refute_0_2109,plain,
( complement(join(top,complement(complement(top)))) != complement(join(top,complement(zero)))
| join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_2107,refute_0_2108]) ).
cnf(refute_0_2110,plain,
join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))),
inference(resolve,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(zero)))) )],[refute_0_2106,refute_0_2109]) ).
cnf(refute_0_2111,plain,
( join(zero,complement(join(top,complement(complement(top))))) != join(zero,complement(join(top,complement(zero))))
| zero != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,complement(complement(top)))))) ),[1],$fot(join(zero,complement(join(top,complement(zero)))))]]) ).
cnf(refute_0_2112,plain,
( zero != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(zero))))) )],[refute_0_2110,refute_0_2111]) ).
cnf(refute_0_2113,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_2094,refute_0_2112]) ).
cnf(refute_0_2114,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(resolve,[$cnf( $equal(complement(top),join(zero,complement(join(top,complement(complement(top)))))) )],[refute_0_2092,refute_0_2113]) ).
cnf(refute_0_2115,plain,
( zero != join(zero,complement(join(top,complement(zero))))
| join(zero,complement(join(top,complement(zero)))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(join(top,complement(zero))))))]]) ).
cnf(refute_0_2116,plain,
join(zero,complement(join(top,complement(zero)))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) )],[refute_0_2114,refute_0_2115]) ).
cnf(refute_0_2117,plain,
( join(zero,complement(join(top,complement(zero)))) != zero
| meet(top,join(top,complement(zero))) != complement(join(zero,complement(join(top,complement(zero)))))
| meet(top,join(top,complement(zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(join(zero,complement(join(top,complement(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2118,plain,
( meet(top,join(top,complement(zero))) != complement(join(zero,complement(join(top,complement(zero)))))
| meet(top,join(top,complement(zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),zero) )],[refute_0_2116,refute_0_2117]) ).
cnf(refute_0_2119,plain,
meet(top,join(top,complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(join(zero,complement(join(top,complement(zero)))))) )],[refute_0_2085,refute_0_2118]) ).
cnf(refute_0_2120,plain,
( join(top,complement(zero)) != join(meet(top,join(top,complement(zero))),meet(join(top,complement(zero)),zero))
| meet(top,join(top,complement(zero))) != complement(zero)
| join(top,complement(zero)) = join(complement(zero),meet(join(top,complement(zero)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(meet(top,join(top,complement(zero))),meet(join(top,complement(zero)),zero))) ),[1,0],$fot(complement(zero))]]) ).
cnf(refute_0_2121,plain,
( join(top,complement(zero)) != join(meet(top,join(top,complement(zero))),meet(join(top,complement(zero)),zero))
| join(top,complement(zero)) = join(complement(zero),meet(join(top,complement(zero)),zero)) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) )],[refute_0_2119,refute_0_2120]) ).
cnf(refute_0_2122,plain,
join(top,complement(zero)) = join(complement(zero),meet(join(top,complement(zero)),zero)),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(meet(top,join(top,complement(zero))),meet(join(top,complement(zero)),zero))) )],[refute_0_2084,refute_0_2121]) ).
cnf(refute_0_2123,plain,
join(complement(zero),zero) = join(zero,complement(zero)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(zero)),bind(X1,$fot(complement(zero)))]]) ).
cnf(refute_0_2124,plain,
( join(complement(zero),zero) != join(zero,complement(zero))
| join(zero,complement(zero)) != top
| join(complement(zero),zero) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(zero),zero))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2125,plain,
( join(zero,complement(zero)) != top
| join(complement(zero),zero) = top ),
inference(resolve,[$cnf( $equal(join(complement(zero),zero),join(zero,complement(zero))) )],[refute_0_2123,refute_0_2124]) ).
cnf(refute_0_2126,plain,
join(complement(zero),zero) = top,
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_637,refute_0_2125]) ).
cnf(refute_0_2127,plain,
meet(zero,join(top,complement(zero))) = complement(join(complement(zero),complement(join(top,complement(zero))))),
inference(subst,[],[refute_0_0:[bind(X0,$fot(zero)),bind(X1,$fot(join(top,complement(zero))))]]) ).
cnf(refute_0_2128,plain,
top = join(meet(top,complement(X_34)),complement(join(complement(top),complement(X_34)))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_34)))]]) ).
cnf(refute_0_2129,plain,
meet(top,complement(X_34)) = complement(X_34),
inference(subst,[],[refute_0_222:[bind(X_33,$fot(X_34))]]) ).
cnf(refute_0_2130,plain,
( meet(top,complement(X_34)) != complement(X_34)
| top != join(meet(top,complement(X_34)),complement(join(complement(top),complement(X_34))))
| top = join(complement(X_34),complement(join(complement(top),complement(X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(X_34)),complement(join(complement(top),complement(X_34))))) ),[1,0],$fot(complement(X_34))]]) ).
cnf(refute_0_2131,plain,
( top != join(meet(top,complement(X_34)),complement(join(complement(top),complement(X_34))))
| top = join(complement(X_34),complement(join(complement(top),complement(X_34)))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_34)),complement(X_34)) )],[refute_0_2129,refute_0_2130]) ).
cnf(refute_0_2132,plain,
top = join(complement(X_34),complement(join(complement(top),complement(X_34)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(X_34)),complement(join(complement(top),complement(X_34))))) )],[refute_0_2128,refute_0_2131]) ).
cnf(refute_0_2133,plain,
complement(join(complement(top),complement(X_34))) = meet(top,X_34),
inference(subst,[],[refute_0_137:[bind(X0,$fot(top)),bind(X1,$fot(X_34))]]) ).
cnf(refute_0_2134,plain,
join(complement(X_34),complement(join(complement(top),complement(X_34)))) = join(complement(X_34),complement(join(complement(top),complement(X_34)))),
introduced(tautology,[refl,[$fot(join(complement(X_34),complement(join(complement(top),complement(X_34)))))]]) ).
cnf(refute_0_2135,plain,
( complement(join(complement(top),complement(X_34))) != meet(top,X_34)
| join(complement(X_34),complement(join(complement(top),complement(X_34)))) != join(complement(X_34),complement(join(complement(top),complement(X_34))))
| join(complement(X_34),complement(join(complement(top),complement(X_34)))) = join(complement(X_34),meet(top,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_34),complement(join(complement(top),complement(X_34)))),join(complement(X_34),complement(join(complement(top),complement(X_34))))) ),[1,1],$fot(meet(top,X_34))]]) ).
cnf(refute_0_2136,plain,
( complement(join(complement(top),complement(X_34))) != meet(top,X_34)
| join(complement(X_34),complement(join(complement(top),complement(X_34)))) = join(complement(X_34),meet(top,X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),complement(join(complement(top),complement(X_34)))),join(complement(X_34),complement(join(complement(top),complement(X_34))))) )],[refute_0_2134,refute_0_2135]) ).
cnf(refute_0_2137,plain,
join(complement(X_34),complement(join(complement(top),complement(X_34)))) = join(complement(X_34),meet(top,X_34)),
inference(resolve,[$cnf( $equal(complement(join(complement(top),complement(X_34))),meet(top,X_34)) )],[refute_0_2133,refute_0_2136]) ).
cnf(refute_0_2138,plain,
( join(complement(X_34),complement(join(complement(top),complement(X_34)))) != join(complement(X_34),meet(top,X_34))
| top != join(complement(X_34),complement(join(complement(top),complement(X_34))))
| top = join(complement(X_34),meet(top,X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_34),complement(join(complement(top),complement(X_34))))) ),[1],$fot(join(complement(X_34),meet(top,X_34)))]]) ).
cnf(refute_0_2139,plain,
( top != join(complement(X_34),complement(join(complement(top),complement(X_34))))
| top = join(complement(X_34),meet(top,X_34)) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),complement(join(complement(top),complement(X_34)))),join(complement(X_34),meet(top,X_34))) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
top = join(complement(X_34),meet(top,X_34)),
inference(resolve,[$cnf( $equal(top,join(complement(X_34),complement(join(complement(top),complement(X_34))))) )],[refute_0_2132,refute_0_2139]) ).
cnf(refute_0_2141,plain,
top = join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero)))),
inference(subst,[],[refute_0_2140:[bind(X_34,$fot(join(top,complement(zero))))]]) ).
cnf(refute_0_2142,plain,
( meet(top,join(top,complement(zero))) != complement(zero)
| top != join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero))))
| top = join(complement(join(top,complement(zero))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero))))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_2143,plain,
( top != join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero))))
| top = join(complement(join(top,complement(zero))),complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) )],[refute_0_2119,refute_0_2142]) ).
cnf(refute_0_2144,plain,
top = join(complement(join(top,complement(zero))),complement(zero)),
inference(resolve,[$cnf( $equal(top,join(complement(join(top,complement(zero))),meet(top,join(top,complement(zero))))) )],[refute_0_2141,refute_0_2143]) ).
cnf(refute_0_2145,plain,
join(complement(join(top,complement(zero))),complement(zero)) = join(complement(zero),complement(join(top,complement(zero)))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(zero))),bind(X1,$fot(complement(join(top,complement(zero)))))]]) ).
cnf(refute_0_2146,plain,
( join(complement(join(top,complement(zero))),complement(zero)) != join(complement(zero),complement(join(top,complement(zero))))
| top != join(complement(join(top,complement(zero))),complement(zero))
| top = join(complement(zero),complement(join(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(top,complement(zero))),complement(zero))) ),[1],$fot(join(complement(zero),complement(join(top,complement(zero)))))]]) ).
cnf(refute_0_2147,plain,
( top != join(complement(join(top,complement(zero))),complement(zero))
| top = join(complement(zero),complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,complement(zero))),complement(zero)),join(complement(zero),complement(join(top,complement(zero))))) )],[refute_0_2145,refute_0_2146]) ).
cnf(refute_0_2148,plain,
top = join(complement(zero),complement(join(top,complement(zero)))),
inference(resolve,[$cnf( $equal(top,join(complement(join(top,complement(zero))),complement(zero))) )],[refute_0_2144,refute_0_2147]) ).
cnf(refute_0_2149,plain,
( top != join(complement(zero),complement(join(top,complement(zero))))
| join(complement(zero),complement(join(top,complement(zero)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(zero),complement(join(top,complement(zero))))))]]) ).
cnf(refute_0_2150,plain,
join(complement(zero),complement(join(top,complement(zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(zero),complement(join(top,complement(zero))))) )],[refute_0_2148,refute_0_2149]) ).
cnf(refute_0_2151,plain,
( join(complement(zero),complement(join(top,complement(zero)))) != top
| meet(zero,join(top,complement(zero))) != complement(join(complement(zero),complement(join(top,complement(zero)))))
| meet(zero,join(top,complement(zero))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,join(top,complement(zero))),complement(join(complement(zero),complement(join(top,complement(zero)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2152,plain,
( meet(zero,join(top,complement(zero))) != complement(join(complement(zero),complement(join(top,complement(zero)))))
| meet(zero,join(top,complement(zero))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(zero),complement(join(top,complement(zero)))),top) )],[refute_0_2150,refute_0_2151]) ).
cnf(refute_0_2153,plain,
meet(zero,join(top,complement(zero))) = complement(top),
inference(resolve,[$cnf( $equal(meet(zero,join(top,complement(zero))),complement(join(complement(zero),complement(join(top,complement(zero)))))) )],[refute_0_2127,refute_0_2152]) ).
cnf(refute_0_2154,plain,
( complement(top) != zero
| meet(zero,join(top,complement(zero))) != complement(top)
| meet(zero,join(top,complement(zero))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,join(top,complement(zero))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2155,plain,
( meet(zero,join(top,complement(zero))) != complement(top)
| meet(zero,join(top,complement(zero))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2154]) ).
cnf(refute_0_2156,plain,
meet(zero,join(top,complement(zero))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,join(top,complement(zero))),complement(top)) )],[refute_0_2153,refute_0_2155]) ).
cnf(refute_0_2157,plain,
meet(join(top,complement(zero)),zero) = meet(zero,join(top,complement(zero))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(zero)),bind(X_25,$fot(join(top,complement(zero))))]]) ).
cnf(refute_0_2158,plain,
( meet(join(top,complement(zero)),zero) != meet(zero,join(top,complement(zero)))
| meet(zero,join(top,complement(zero))) != zero
| meet(join(top,complement(zero)),zero) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(top,complement(zero)),zero))),bind(Y,$fot(meet(zero,join(top,complement(zero))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2159,plain,
( meet(zero,join(top,complement(zero))) != zero
| meet(join(top,complement(zero)),zero) = zero ),
inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),zero),meet(zero,join(top,complement(zero)))) )],[refute_0_2157,refute_0_2158]) ).
cnf(refute_0_2160,plain,
meet(join(top,complement(zero)),zero) = zero,
inference(resolve,[$cnf( $equal(meet(zero,join(top,complement(zero))),zero) )],[refute_0_2156,refute_0_2159]) ).
cnf(refute_0_2161,plain,
join(complement(zero),meet(join(top,complement(zero)),zero)) = join(complement(zero),meet(join(top,complement(zero)),zero)),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(join(top,complement(zero)),zero)))]]) ).
cnf(refute_0_2162,plain,
( join(complement(zero),meet(join(top,complement(zero)),zero)) != join(complement(zero),meet(join(top,complement(zero)),zero))
| meet(join(top,complement(zero)),zero) != zero
| join(complement(zero),meet(join(top,complement(zero)),zero)) = join(complement(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),zero)),join(complement(zero),meet(join(top,complement(zero)),zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2163,plain,
( meet(join(top,complement(zero)),zero) != zero
| join(complement(zero),meet(join(top,complement(zero)),zero)) = join(complement(zero),zero) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),zero)),join(complement(zero),meet(join(top,complement(zero)),zero))) )],[refute_0_2161,refute_0_2162]) ).
cnf(refute_0_2164,plain,
join(complement(zero),meet(join(top,complement(zero)),zero)) = join(complement(zero),zero),
inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),zero),zero) )],[refute_0_2160,refute_0_2163]) ).
cnf(refute_0_2165,plain,
( join(complement(zero),meet(join(top,complement(zero)),zero)) != join(complement(zero),zero)
| join(complement(zero),zero) != top
| join(complement(zero),meet(join(top,complement(zero)),zero)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(zero),meet(join(top,complement(zero)),zero)))),bind(Y,$fot(join(complement(zero),zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_2166,plain,
( join(complement(zero),zero) != top
| join(complement(zero),meet(join(top,complement(zero)),zero)) = top ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),zero)),join(complement(zero),zero)) )],[refute_0_2164,refute_0_2165]) ).
cnf(refute_0_2167,plain,
join(complement(zero),meet(join(top,complement(zero)),zero)) = top,
inference(resolve,[$cnf( $equal(join(complement(zero),zero),top) )],[refute_0_2126,refute_0_2166]) ).
cnf(refute_0_2168,plain,
( join(complement(zero),meet(join(top,complement(zero)),zero)) != top
| join(top,complement(zero)) != join(complement(zero),meet(join(top,complement(zero)),zero))
| join(top,complement(zero)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(complement(zero),meet(join(top,complement(zero)),zero))) ),[1],$fot(top)]]) ).
cnf(refute_0_2169,plain,
( join(top,complement(zero)) != join(complement(zero),meet(join(top,complement(zero)),zero))
| join(top,complement(zero)) = top ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(join(top,complement(zero)),zero)),top) )],[refute_0_2167,refute_0_2168]) ).
cnf(refute_0_2170,plain,
join(top,complement(zero)) = top,
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(complement(zero),meet(join(top,complement(zero)),zero))) )],[refute_0_2122,refute_0_2169]) ).
cnf(refute_0_2171,plain,
join(top,complement(zero)) = join(top,complement(zero)),
introduced(tautology,[refl,[$fot(join(top,complement(zero)))]]) ).
cnf(refute_0_2172,plain,
( complement(zero) != top
| join(top,complement(zero)) != join(top,complement(zero))
| join(top,complement(zero)) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(top,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2173,plain,
( complement(zero) != top
| join(top,complement(zero)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,complement(zero))) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
join(top,complement(zero)) = join(top,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_2173]) ).
cnf(refute_0_2175,plain,
( join(top,complement(zero)) != join(top,top)
| join(top,complement(zero)) != top
| join(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),top) ),[0],$fot(join(top,top))]]) ).
cnf(refute_0_2176,plain,
( join(top,complement(zero)) != top
| join(top,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,top)) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
join(top,top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(zero)),top) )],[refute_0_2170,refute_0_2176]) ).
cnf(refute_0_2178,plain,
complement(join(top,top)) = complement(join(top,top)),
introduced(tautology,[refl,[$fot(complement(join(top,top)))]]) ).
cnf(refute_0_2179,plain,
( complement(join(top,top)) != complement(join(top,top))
| join(top,top) != top
| complement(join(top,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,top)),complement(join(top,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2180,plain,
( join(top,top) != top
| complement(join(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),complement(join(top,top))) )],[refute_0_2178,refute_0_2179]) ).
cnf(refute_0_2181,plain,
complement(join(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_2177,refute_0_2180]) ).
cnf(refute_0_2182,plain,
( complement(join(top,top)) != complement(top)
| complement(top) != zero
| complement(join(top,top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2183,plain,
( complement(top) != zero
| complement(join(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),complement(top)) )],[refute_0_2181,refute_0_2182]) ).
cnf(refute_0_2184,plain,
complement(join(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2183]) ).
cnf(refute_0_2185,plain,
converse(complement(join(top,top))) = converse(complement(join(top,top))),
introduced(tautology,[refl,[$fot(converse(complement(join(top,top))))]]) ).
cnf(refute_0_2186,plain,
( complement(join(top,top)) != zero
| converse(complement(join(top,top))) != converse(complement(join(top,top)))
| converse(complement(join(top,top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(top,top))),converse(complement(join(top,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2187,plain,
( complement(join(top,top)) != zero
| converse(complement(join(top,top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(join(top,top))),converse(complement(join(top,top)))) )],[refute_0_2185,refute_0_2186]) ).
cnf(refute_0_2188,plain,
converse(complement(join(top,top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(join(top,top)),zero) )],[refute_0_2184,refute_0_2187]) ).
cnf(refute_0_2189,plain,
( converse(complement(join(top,top))) != converse(zero)
| converse(zero) != zero
| converse(complement(join(top,top))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(join(top,top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2190,plain,
( converse(zero) != zero
| converse(complement(join(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(join(top,top))),converse(zero)) )],[refute_0_2188,refute_0_2189]) ).
cnf(refute_0_2191,plain,
converse(complement(join(top,top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_2190]) ).
cnf(refute_0_2192,plain,
join(converse(complement(join(top,top))),X_127) = join(converse(complement(join(top,top))),X_127),
introduced(tautology,[refl,[$fot(join(converse(complement(join(top,top))),X_127))]]) ).
cnf(refute_0_2193,plain,
( converse(complement(join(top,top))) != zero
| join(converse(complement(join(top,top))),X_127) != join(converse(complement(join(top,top))),X_127)
| join(converse(complement(join(top,top))),X_127) = join(zero,X_127) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(join(top,top))),X_127),join(converse(complement(join(top,top))),X_127)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2194,plain,
( converse(complement(join(top,top))) != zero
| join(converse(complement(join(top,top))),X_127) = join(zero,X_127) ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(top,top))),X_127),join(converse(complement(join(top,top))),X_127)) )],[refute_0_2192,refute_0_2193]) ).
cnf(refute_0_2195,plain,
join(converse(complement(join(top,top))),X_127) = join(zero,X_127),
inference(resolve,[$cnf( $equal(converse(complement(join(top,top))),zero) )],[refute_0_2191,refute_0_2194]) ).
cnf(refute_0_2196,plain,
( join(converse(complement(join(top,top))),X_127) != join(zero,X_127)
| join(zero,X_127) != X_127
| join(converse(complement(join(top,top))),X_127) = X_127 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(join(top,top))),X_127))),bind(Y,$fot(join(zero,X_127))),bind(Z,$fot(X_127))]]) ).
cnf(refute_0_2197,plain,
( join(zero,X_127) != X_127
| join(converse(complement(join(top,top))),X_127) = X_127 ),
inference(resolve,[$cnf( $equal(join(converse(complement(join(top,top))),X_127),join(zero,X_127)) )],[refute_0_2195,refute_0_2196]) ).
cnf(refute_0_2198,plain,
join(converse(complement(join(top,top))),X_127) = X_127,
inference(resolve,[$cnf( $equal(join(zero,X_127),X_127) )],[refute_0_2068,refute_0_2197]) ).
cnf(refute_0_2199,plain,
composition(join(one,one),join(converse(complement(join(top,top))),X_127)) = composition(join(one,one),join(converse(complement(join(top,top))),X_127)),
introduced(tautology,[refl,[$fot(composition(join(one,one),join(converse(complement(join(top,top))),X_127)))]]) ).
cnf(refute_0_2200,plain,
( composition(join(one,one),join(converse(complement(join(top,top))),X_127)) != composition(join(one,one),join(converse(complement(join(top,top))),X_127))
| join(converse(complement(join(top,top))),X_127) != X_127
| composition(join(one,one),join(converse(complement(join(top,top))),X_127)) = composition(join(one,one),X_127) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),join(converse(complement(join(top,top))),X_127)),composition(join(one,one),join(converse(complement(join(top,top))),X_127))) ),[1,1],$fot(X_127)]]) ).
cnf(refute_0_2201,plain,
( join(converse(complement(join(top,top))),X_127) != X_127
| composition(join(one,one),join(converse(complement(join(top,top))),X_127)) = composition(join(one,one),X_127) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(converse(complement(join(top,top))),X_127)),composition(join(one,one),join(converse(complement(join(top,top))),X_127))) )],[refute_0_2199,refute_0_2200]) ).
cnf(refute_0_2202,plain,
composition(join(one,one),join(converse(complement(join(top,top))),X_127)) = composition(join(one,one),X_127),
inference(resolve,[$cnf( $equal(join(converse(complement(join(top,top))),X_127),X_127) )],[refute_0_2198,refute_0_2201]) ).
cnf(refute_0_2203,plain,
composition(join(X_121,converse(complement(composition(join(one,one),top)))),join(one,one)) = composition(X_121,join(one,one)),
inference(subst,[],[refute_0_575:[bind(X_108,$fot(X_121)),bind(X_110,$fot(join(one,one)))]]) ).
cnf(refute_0_2204,plain,
( composition(join(X_121,converse(complement(composition(join(one,one),top)))),join(one,one)) != composition(X_121,join(one,one))
| composition(join(one,one),top) != join(top,top)
| composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) = composition(X_121,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_121,converse(complement(composition(join(one,one),top)))),join(one,one)),composition(X_121,join(one,one))) ),[0,0,1,0,0],$fot(join(top,top))]]) ).
cnf(refute_0_2205,plain,
( composition(join(X_121,converse(complement(composition(join(one,one),top)))),join(one,one)) != composition(X_121,join(one,one))
| composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) = composition(X_121,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),top),join(top,top)) )],[refute_0_2064,refute_0_2204]) ).
cnf(refute_0_2206,plain,
composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) = composition(X_121,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(X_121,converse(complement(composition(join(one,one),top)))),join(one,one)),composition(X_121,join(one,one))) )],[refute_0_2203,refute_0_2205]) ).
cnf(refute_0_2207,plain,
join(X_121,zero) = X_121,
inference(subst,[],[refute_0_571:[bind(X_66,$fot(X_121))]]) ).
cnf(refute_0_2208,plain,
join(X_121,converse(complement(join(top,top)))) = join(X_121,converse(complement(join(top,top)))),
introduced(tautology,[refl,[$fot(join(X_121,converse(complement(join(top,top)))))]]) ).
cnf(refute_0_2209,plain,
( converse(complement(join(top,top))) != zero
| join(X_121,converse(complement(join(top,top)))) != join(X_121,converse(complement(join(top,top))))
| join(X_121,converse(complement(join(top,top)))) = join(X_121,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_121,converse(complement(join(top,top)))),join(X_121,converse(complement(join(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2210,plain,
( converse(complement(join(top,top))) != zero
| join(X_121,converse(complement(join(top,top)))) = join(X_121,zero) ),
inference(resolve,[$cnf( $equal(join(X_121,converse(complement(join(top,top)))),join(X_121,converse(complement(join(top,top))))) )],[refute_0_2208,refute_0_2209]) ).
cnf(refute_0_2211,plain,
join(X_121,converse(complement(join(top,top)))) = join(X_121,zero),
inference(resolve,[$cnf( $equal(converse(complement(join(top,top))),zero) )],[refute_0_2191,refute_0_2210]) ).
cnf(refute_0_2212,plain,
( join(X_121,converse(complement(join(top,top)))) != join(X_121,zero)
| join(X_121,zero) != X_121
| join(X_121,converse(complement(join(top,top)))) = X_121 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_121,converse(complement(join(top,top)))))),bind(Y,$fot(join(X_121,zero))),bind(Z,$fot(X_121))]]) ).
cnf(refute_0_2213,plain,
( join(X_121,zero) != X_121
| join(X_121,converse(complement(join(top,top)))) = X_121 ),
inference(resolve,[$cnf( $equal(join(X_121,converse(complement(join(top,top)))),join(X_121,zero)) )],[refute_0_2211,refute_0_2212]) ).
cnf(refute_0_2214,plain,
join(X_121,converse(complement(join(top,top)))) = X_121,
inference(resolve,[$cnf( $equal(join(X_121,zero),X_121) )],[refute_0_2207,refute_0_2213]) ).
cnf(refute_0_2215,plain,
composition(join(one,one),join(X_121,converse(complement(join(top,top))))) = composition(join(one,one),join(X_121,converse(complement(join(top,top))))),
introduced(tautology,[refl,[$fot(composition(join(one,one),join(X_121,converse(complement(join(top,top))))))]]) ).
cnf(refute_0_2216,plain,
( composition(join(one,one),join(X_121,converse(complement(join(top,top))))) != composition(join(one,one),join(X_121,converse(complement(join(top,top)))))
| join(X_121,converse(complement(join(top,top)))) != X_121
| composition(join(one,one),join(X_121,converse(complement(join(top,top))))) = composition(join(one,one),X_121) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),join(X_121,converse(complement(join(top,top))))),composition(join(one,one),join(X_121,converse(complement(join(top,top)))))) ),[1,1],$fot(X_121)]]) ).
cnf(refute_0_2217,plain,
( join(X_121,converse(complement(join(top,top)))) != X_121
| composition(join(one,one),join(X_121,converse(complement(join(top,top))))) = composition(join(one,one),X_121) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X_121,converse(complement(join(top,top))))),composition(join(one,one),join(X_121,converse(complement(join(top,top)))))) )],[refute_0_2215,refute_0_2216]) ).
cnf(refute_0_2218,plain,
composition(join(one,one),join(X_121,converse(complement(join(top,top))))) = composition(join(one,one),X_121),
inference(resolve,[$cnf( $equal(join(X_121,converse(complement(join(top,top)))),X_121) )],[refute_0_2214,refute_0_2217]) ).
cnf(refute_0_2219,plain,
join(join(X1,X2),join(X1,X2)) = join(join(join(X1,X2),X1),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(join(X1,X2)))]]) ).
cnf(refute_0_2220,plain,
composition(join(one,one),join(X1,X2)) = join(join(X1,X2),join(X1,X2)),
inference(subst,[],[refute_0_1423:[bind(X_115,$fot(join(X1,X2)))]]) ).
cnf(refute_0_2221,plain,
( composition(join(one,one),join(X1,X2)) != join(join(X1,X2),join(X1,X2))
| join(join(X1,X2),join(X1,X2)) = composition(join(one,one),join(X1,X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,one),join(X1,X2)))),bind(Y,$fot(join(join(X1,X2),join(X1,X2))))]]) ).
cnf(refute_0_2222,plain,
join(join(X1,X2),join(X1,X2)) = composition(join(one,one),join(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X1,X2)),join(join(X1,X2),join(X1,X2))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
( join(join(X1,X2),join(X1,X2)) != composition(join(one,one),join(X1,X2))
| join(join(X1,X2),join(X1,X2)) != join(join(join(X1,X2),X1),X2)
| composition(join(one,one),join(X1,X2)) = join(join(join(X1,X2),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X1,X2),join(X1,X2)),join(join(join(X1,X2),X1),X2)) ),[0],$fot(composition(join(one,one),join(X1,X2)))]]) ).
cnf(refute_0_2224,plain,
( join(join(X1,X2),join(X1,X2)) != join(join(join(X1,X2),X1),X2)
| composition(join(one,one),join(X1,X2)) = join(join(join(X1,X2),X1),X2) ),
inference(resolve,[$cnf( $equal(join(join(X1,X2),join(X1,X2)),composition(join(one,one),join(X1,X2))) )],[refute_0_2222,refute_0_2223]) ).
cnf(refute_0_2225,plain,
composition(join(one,one),join(X1,X2)) = join(join(join(X1,X2),X1),X2),
inference(resolve,[$cnf( $equal(join(join(X1,X2),join(X1,X2)),join(join(join(X1,X2),X1),X2)) )],[refute_0_2219,refute_0_2224]) ).
cnf(refute_0_2226,plain,
converse(composition(join(one,one),converse(X0))) = composition(X0,converse(join(one,one))),
inference(subst,[],[refute_0_450:[bind(X_13,$fot(join(one,one)))]]) ).
cnf(refute_0_2227,plain,
composition(join(one,one),converse(X0)) = join(converse(X0),converse(X0)),
inference(subst,[],[refute_0_1423:[bind(X_115,$fot(converse(X0)))]]) ).
cnf(refute_0_2228,plain,
( composition(join(one,one),converse(X0)) != join(converse(X0),converse(X0))
| converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) ),[0,0],$fot(join(converse(X0),converse(X0)))]]) ).
cnf(refute_0_2229,plain,
( converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),converse(X0)),join(converse(X0),converse(X0))) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_0_2226,refute_0_2229]) ).
cnf(refute_0_2231,plain,
join(X0,converse(converse(X0))) = join(X0,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(X0))))]]) ).
cnf(refute_0_2232,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) = join(X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_2233,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) )],[refute_0_2231,refute_0_2232]) ).
cnf(refute_0_2234,plain,
join(X0,converse(converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_2233]) ).
cnf(refute_0_2235,plain,
converse(join(converse(X0),converse(X0))) = join(X0,converse(converse(X0))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(converse(X0)))]]) ).
cnf(refute_0_2236,plain,
( converse(join(converse(X0),converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),converse(X0))))),bind(Y,$fot(join(X0,converse(converse(X0))))),bind(Z,$fot(join(X0,X0)))]]) ).
cnf(refute_0_2237,plain,
( join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,converse(converse(X0)))) )],[refute_0_2235,refute_0_2236]) ).
cnf(refute_0_2238,plain,
converse(join(converse(X0),converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,X0)) )],[refute_0_2234,refute_0_2237]) ).
cnf(refute_0_2239,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) != join(X0,X0)
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) ),[0],$fot(join(X0,X0))]]) ).
cnf(refute_0_2240,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,X0)) )],[refute_0_2238,refute_0_2239]) ).
cnf(refute_0_2241,plain,
composition(X0,converse(join(one,one))) = composition(X0,converse(join(one,one))),
introduced(tautology,[refl,[$fot(composition(X0,converse(join(one,one))))]]) ).
cnf(refute_0_2242,plain,
( composition(X0,converse(join(one,one))) != composition(X0,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_2243,plain,
( converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) )],[refute_0_2241,refute_0_2242]) ).
cnf(refute_0_2244,plain,
composition(X0,converse(join(one,one))) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_1780,refute_0_2243]) ).
cnf(refute_0_2245,plain,
( composition(X0,converse(join(one,one))) != composition(X0,join(one,one))
| join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) ),[1],$fot(composition(X0,join(one,one)))]]) ).
cnf(refute_0_2246,plain,
( join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,join(one,one))) )],[refute_0_2244,refute_0_2245]) ).
cnf(refute_0_2247,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) )],[refute_0_2240,refute_0_2246]) ).
cnf(refute_0_2248,plain,
join(X0,X0) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_0_2230,refute_0_2247]) ).
cnf(refute_0_2249,plain,
join(join(X1,X2),join(X1,X2)) = composition(join(X1,X2),join(one,one)),
inference(subst,[],[refute_0_2248:[bind(X0,$fot(join(X1,X2)))]]) ).
cnf(refute_0_2250,plain,
join(join(join(X1,X2),X1),X2) = join(join(X1,X2),join(X1,X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(join(X1,X2)))]]) ).
cnf(refute_0_2251,plain,
( join(join(X1,X2),join(X1,X2)) != composition(join(X1,X2),join(one,one))
| join(join(join(X1,X2),X1),X2) != join(join(X1,X2),join(X1,X2))
| join(join(join(X1,X2),X1),X2) = composition(join(X1,X2),join(one,one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(join(X1,X2),X1),X2))),bind(Y,$fot(join(join(X1,X2),join(X1,X2)))),bind(Z,$fot(composition(join(X1,X2),join(one,one))))]]) ).
cnf(refute_0_2252,plain,
( join(join(X1,X2),join(X1,X2)) != composition(join(X1,X2),join(one,one))
| join(join(join(X1,X2),X1),X2) = composition(join(X1,X2),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(join(join(X1,X2),X1),X2),join(join(X1,X2),join(X1,X2))) )],[refute_0_2250,refute_0_2251]) ).
cnf(refute_0_2253,plain,
join(join(join(X1,X2),X1),X2) = composition(join(X1,X2),join(one,one)),
inference(resolve,[$cnf( $equal(join(join(X1,X2),join(X1,X2)),composition(join(X1,X2),join(one,one))) )],[refute_0_2249,refute_0_2252]) ).
cnf(refute_0_2254,plain,
( composition(join(one,one),join(X1,X2)) != join(join(join(X1,X2),X1),X2)
| join(join(join(X1,X2),X1),X2) != composition(join(X1,X2),join(one,one))
| composition(join(one,one),join(X1,X2)) = composition(join(X1,X2),join(one,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,one),join(X1,X2)),composition(join(X1,X2),join(one,one))) ),[0],$fot(join(join(join(X1,X2),X1),X2))]]) ).
cnf(refute_0_2255,plain,
( composition(join(one,one),join(X1,X2)) != join(join(join(X1,X2),X1),X2)
| composition(join(one,one),join(X1,X2)) = composition(join(X1,X2),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(join(join(X1,X2),X1),X2),composition(join(X1,X2),join(one,one))) )],[refute_0_2253,refute_0_2254]) ).
cnf(refute_0_2256,plain,
composition(join(one,one),join(X1,X2)) = composition(join(X1,X2),join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X1,X2)),join(join(join(X1,X2),X1),X2)) )],[refute_0_2225,refute_0_2255]) ).
cnf(refute_0_2257,plain,
( composition(join(one,one),join(X1,X2)) != composition(join(X1,X2),join(one,one))
| composition(join(X1,X2),join(one,one)) = composition(join(one,one),join(X1,X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,one),join(X1,X2)))),bind(Y,$fot(composition(join(X1,X2),join(one,one))))]]) ).
cnf(refute_0_2258,plain,
composition(join(X1,X2),join(one,one)) = composition(join(one,one),join(X1,X2)),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X1,X2)),composition(join(X1,X2),join(one,one))) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) = composition(join(one,one),join(X_121,converse(complement(join(top,top))))),
inference(subst,[],[refute_0_2258:[bind(X1,$fot(X_121)),bind(X2,$fot(converse(complement(join(top,top)))))]]) ).
cnf(refute_0_2260,plain,
( composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) != composition(join(one,one),join(X_121,converse(complement(join(top,top)))))
| composition(join(one,one),join(X_121,converse(complement(join(top,top))))) != composition(join(one,one),X_121)
| composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) = composition(join(one,one),X_121) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(X_121,converse(complement(join(top,top)))),join(one,one)))),bind(Y,$fot(composition(join(one,one),join(X_121,converse(complement(join(top,top))))))),bind(Z,$fot(composition(join(one,one),X_121)))]]) ).
cnf(refute_0_2261,plain,
( composition(join(one,one),join(X_121,converse(complement(join(top,top))))) != composition(join(one,one),X_121)
| composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) = composition(join(one,one),X_121) ),
inference(resolve,[$cnf( $equal(composition(join(X_121,converse(complement(join(top,top)))),join(one,one)),composition(join(one,one),join(X_121,converse(complement(join(top,top)))))) )],[refute_0_2259,refute_0_2260]) ).
cnf(refute_0_2262,plain,
composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) = composition(join(one,one),X_121),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X_121,converse(complement(join(top,top))))),composition(join(one,one),X_121)) )],[refute_0_2218,refute_0_2261]) ).
cnf(refute_0_2263,plain,
( composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) != composition(X_121,join(one,one))
| composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) != composition(join(one,one),X_121)
| composition(join(one,one),X_121) = composition(X_121,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_121,converse(complement(join(top,top)))),join(one,one)),composition(X_121,join(one,one))) ),[0],$fot(composition(join(one,one),X_121))]]) ).
cnf(refute_0_2264,plain,
( composition(join(X_121,converse(complement(join(top,top)))),join(one,one)) != composition(X_121,join(one,one))
| composition(join(one,one),X_121) = composition(X_121,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(join(X_121,converse(complement(join(top,top)))),join(one,one)),composition(join(one,one),X_121)) )],[refute_0_2262,refute_0_2263]) ).
cnf(refute_0_2265,plain,
composition(join(one,one),X_121) = composition(X_121,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(X_121,converse(complement(join(top,top)))),join(one,one)),composition(X_121,join(one,one))) )],[refute_0_2206,refute_0_2264]) ).
cnf(refute_0_2266,plain,
( composition(join(one,one),X_121) != composition(X_121,join(one,one))
| composition(X_121,join(one,one)) = composition(join(one,one),X_121) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,one),X_121))),bind(Y,$fot(composition(X_121,join(one,one))))]]) ).
cnf(refute_0_2267,plain,
composition(X_121,join(one,one)) = composition(join(one,one),X_121),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_121),composition(X_121,join(one,one))) )],[refute_0_2265,refute_0_2266]) ).
cnf(refute_0_2268,plain,
composition(join(converse(complement(join(top,top))),X_127),join(one,one)) = composition(join(one,one),join(converse(complement(join(top,top))),X_127)),
inference(subst,[],[refute_0_2267:[bind(X_121,$fot(join(converse(complement(join(top,top))),X_127)))]]) ).
cnf(refute_0_2269,plain,
( composition(join(converse(complement(join(top,top))),X_127),join(one,one)) != composition(join(one,one),join(converse(complement(join(top,top))),X_127))
| composition(join(one,one),join(converse(complement(join(top,top))),X_127)) != composition(join(one,one),X_127)
| composition(join(converse(complement(join(top,top))),X_127),join(one,one)) = composition(join(one,one),X_127) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(converse(complement(join(top,top))),X_127),join(one,one)))),bind(Y,$fot(composition(join(one,one),join(converse(complement(join(top,top))),X_127)))),bind(Z,$fot(composition(join(one,one),X_127)))]]) ).
cnf(refute_0_2270,plain,
( composition(join(one,one),join(converse(complement(join(top,top))),X_127)) != composition(join(one,one),X_127)
| composition(join(converse(complement(join(top,top))),X_127),join(one,one)) = composition(join(one,one),X_127) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(join(top,top))),X_127),join(one,one)),composition(join(one,one),join(converse(complement(join(top,top))),X_127))) )],[refute_0_2268,refute_0_2269]) ).
cnf(refute_0_2271,plain,
composition(join(converse(complement(join(top,top))),X_127),join(one,one)) = composition(join(one,one),X_127),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(converse(complement(join(top,top))),X_127)),composition(join(one,one),X_127)) )],[refute_0_2202,refute_0_2270]) ).
cnf(refute_0_2272,plain,
( composition(join(converse(complement(join(top,top))),X_127),join(one,one)) != composition(X_127,join(one,one))
| composition(join(converse(complement(join(top,top))),X_127),join(one,one)) != composition(join(one,one),X_127)
| composition(join(one,one),X_127) = composition(X_127,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(join(top,top))),X_127),join(one,one)),composition(X_127,join(one,one))) ),[0],$fot(composition(join(one,one),X_127))]]) ).
cnf(refute_0_2273,plain,
( composition(join(converse(complement(join(top,top))),X_127),join(one,one)) != composition(X_127,join(one,one))
| composition(join(one,one),X_127) = composition(X_127,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(join(top,top))),X_127),join(one,one)),composition(join(one,one),X_127)) )],[refute_0_2271,refute_0_2272]) ).
cnf(refute_0_2274,plain,
composition(join(one,one),X_127) = composition(X_127,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(join(top,top))),X_127),join(one,one)),composition(X_127,join(one,one))) )],[refute_0_2067,refute_0_2273]) ).
cnf(refute_0_2275,plain,
( composition(join(one,one),X_127) != composition(X_127,join(one,one))
| composition(X_127,join(one,one)) = composition(join(one,one),X_127) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,one),X_127))),bind(Y,$fot(composition(X_127,join(one,one))))]]) ).
cnf(refute_0_2276,plain,
composition(X_127,join(one,one)) = composition(join(one,one),X_127),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_127),composition(X_127,join(one,one))) )],[refute_0_2274,refute_0_2275]) ).
cnf(refute_0_2277,plain,
composition(join(X0,join(one,one)),join(one,one)) = composition(join(one,one),join(X0,join(one,one))),
inference(subst,[],[refute_0_2276:[bind(X_127,$fot(join(X0,join(one,one))))]]) ).
cnf(refute_0_2278,plain,
composition(join(X0,X1),join(one,one)) = join(composition(X0,join(one,one)),composition(X1,join(one,one))),
inference(subst,[],[refute_0_452:[bind(X2,$fot(join(one,one)))]]) ).
cnf(refute_0_2279,plain,
composition(join(one,one),X0) = composition(X0,join(one,one)),
inference(subst,[],[refute_0_2274:[bind(X_127,$fot(X0))]]) ).
cnf(refute_0_2280,plain,
( composition(join(one,one),X0) != composition(X0,join(one,one))
| composition(X0,join(one,one)) = composition(join(one,one),X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,one),X0))),bind(Y,$fot(composition(X0,join(one,one))))]]) ).
cnf(refute_0_2281,plain,
composition(X0,join(one,one)) = composition(join(one,one),X0),
inference(resolve,[$cnf( $equal(composition(join(one,one),X0),composition(X0,join(one,one))) )],[refute_0_2279,refute_0_2280]) ).
cnf(refute_0_2282,plain,
( composition(X0,join(one,one)) != composition(join(one,one),X0)
| composition(join(X0,X1),join(one,one)) != join(composition(X0,join(one,one)),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(composition(join(one,one),X0),composition(X1,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(X0,join(one,one)),composition(X1,join(one,one)))) ),[1,0],$fot(composition(join(one,one),X0))]]) ).
cnf(refute_0_2283,plain,
( composition(join(X0,X1),join(one,one)) != join(composition(X0,join(one,one)),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(composition(join(one,one),X0),composition(X1,join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(X0,join(one,one)),composition(join(one,one),X0)) )],[refute_0_2281,refute_0_2282]) ).
cnf(refute_0_2284,plain,
composition(join(X0,X1),join(one,one)) = join(composition(join(one,one),X0),composition(X1,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(X0,join(one,one)),composition(X1,join(one,one)))) )],[refute_0_2278,refute_0_2283]) ).
cnf(refute_0_2285,plain,
join(X1,join(X1,X2)) = join(join(X1,X1),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_2286,plain,
composition(join(one,one),X1) = join(X1,X1),
inference(subst,[],[refute_0_1423:[bind(X_115,$fot(X1))]]) ).
cnf(refute_0_2287,plain,
( composition(join(one,one),X1) != join(X1,X1)
| join(X1,X1) = composition(join(one,one),X1) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,one),X1))),bind(Y,$fot(join(X1,X1)))]]) ).
cnf(refute_0_2288,plain,
join(X1,X1) = composition(join(one,one),X1),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),join(X1,X1)) )],[refute_0_2286,refute_0_2287]) ).
cnf(refute_0_2289,plain,
( join(X1,X1) != composition(join(one,one),X1)
| join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) ),[1,0],$fot(composition(join(one,one),X1))]]) ).
cnf(refute_0_2290,plain,
( join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2) ),
inference(resolve,[$cnf( $equal(join(X1,X1),composition(join(one,one),X1)) )],[refute_0_2288,refute_0_2289]) ).
cnf(refute_0_2291,plain,
join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) )],[refute_0_2285,refute_0_2290]) ).
cnf(refute_0_2292,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(X1)),bind(X_139,$fot(X2))]]) ).
cnf(refute_0_2293,plain,
( join(X1,join(X1,X2)) != join(X1,X2)
| join(X1,join(X1,X2)) != join(composition(join(one,one),X1),X2)
| join(X1,X2) = join(composition(join(one,one),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,X2)),join(composition(join(one,one),X1),X2)) ),[0],$fot(join(X1,X2))]]) ).
cnf(refute_0_2294,plain,
( join(X1,join(X1,X2)) != join(composition(join(one,one),X1),X2)
| join(X1,X2) = join(composition(join(one,one),X1),X2) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(X1,X2)) )],[refute_0_2292,refute_0_2293]) ).
cnf(refute_0_2295,plain,
join(X1,X2) = join(composition(join(one,one),X1),X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(composition(join(one,one),X1),X2)) )],[refute_0_2291,refute_0_2294]) ).
cnf(refute_0_2296,plain,
( join(X1,X2) != join(composition(join(one,one),X1),X2)
| join(composition(join(one,one),X1),X2) = join(X1,X2) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X1,X2))),bind(Y,$fot(join(composition(join(one,one),X1),X2)))]]) ).
cnf(refute_0_2297,plain,
join(composition(join(one,one),X1),X2) = join(X1,X2),
inference(resolve,[$cnf( $equal(join(X1,X2),join(composition(join(one,one),X1),X2)) )],[refute_0_2295,refute_0_2296]) ).
cnf(refute_0_2298,plain,
join(composition(join(one,one),X0),composition(X1,join(one,one))) = join(X0,composition(X1,join(one,one))),
inference(subst,[],[refute_0_2297:[bind(X1,$fot(X0)),bind(X2,$fot(composition(X1,join(one,one))))]]) ).
cnf(refute_0_2299,plain,
( composition(join(X0,X1),join(one,one)) != join(composition(join(one,one),X0),composition(X1,join(one,one)))
| join(composition(join(one,one),X0),composition(X1,join(one,one))) != join(X0,composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(X0,composition(X1,join(one,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,X1),join(one,one)),join(X0,composition(X1,join(one,one)))) ),[0],$fot(join(composition(join(one,one),X0),composition(X1,join(one,one))))]]) ).
cnf(refute_0_2300,plain,
( composition(join(X0,X1),join(one,one)) != join(composition(join(one,one),X0),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(X0,composition(X1,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(composition(join(one,one),X0),composition(X1,join(one,one))),join(X0,composition(X1,join(one,one)))) )],[refute_0_2298,refute_0_2299]) ).
cnf(refute_0_2301,plain,
composition(join(X0,X1),join(one,one)) = join(X0,composition(X1,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(join(one,one),X0),composition(X1,join(one,one)))) )],[refute_0_2284,refute_0_2300]) ).
cnf(refute_0_2302,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,composition(X1,join(one,one)))
| join(X0,composition(X1,join(one,one))) = composition(join(X0,X1),join(one,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X0,X1),join(one,one)))),bind(Y,$fot(join(X0,composition(X1,join(one,one)))))]]) ).
cnf(refute_0_2303,plain,
join(X0,composition(X1,join(one,one))) = composition(join(X0,X1),join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,composition(X1,join(one,one)))) )],[refute_0_2301,refute_0_2302]) ).
cnf(refute_0_2304,plain,
join(X0,composition(join(one,one),join(one,one))) = composition(join(X0,join(one,one)),join(one,one)),
inference(subst,[],[refute_0_2303:[bind(X1,$fot(join(one,one)))]]) ).
cnf(refute_0_2305,plain,
( composition(join(X0,join(one,one)),join(one,one)) != composition(join(one,one),join(X0,join(one,one)))
| join(X0,composition(join(one,one),join(one,one))) != composition(join(X0,join(one,one)),join(one,one))
| join(X0,composition(join(one,one),join(one,one))) = composition(join(one,one),join(X0,join(one,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X0,composition(join(one,one),join(one,one))))),bind(Y,$fot(composition(join(X0,join(one,one)),join(one,one)))),bind(Z,$fot(composition(join(one,one),join(X0,join(one,one)))))]]) ).
cnf(refute_0_2306,plain,
( composition(join(X0,join(one,one)),join(one,one)) != composition(join(one,one),join(X0,join(one,one)))
| join(X0,composition(join(one,one),join(one,one))) = composition(join(one,one),join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X0,composition(join(one,one),join(one,one))),composition(join(X0,join(one,one)),join(one,one))) )],[refute_0_2304,refute_0_2305]) ).
cnf(refute_0_2307,plain,
join(X0,composition(join(one,one),join(one,one))) = composition(join(one,one),join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,one)),join(one,one)),composition(join(one,one),join(X0,join(one,one)))) )],[refute_0_2277,refute_0_2306]) ).
cnf(refute_0_2308,plain,
( join(X0,composition(join(one,one),join(one,one))) != composition(join(one,one),join(X0,join(one,one)))
| join(one,join(X0,join(one,one))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,join(one,one))) = composition(join(one,one),join(X0,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,join(one,one))),join(X0,composition(join(one,one),join(one,one)))) ),[1],$fot(composition(join(one,one),join(X0,join(one,one))))]]) ).
cnf(refute_0_2309,plain,
( join(one,join(X0,join(one,one))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,join(one,one))) = composition(join(one,one),join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X0,composition(join(one,one),join(one,one))),composition(join(one,one),join(X0,join(one,one)))) )],[refute_0_2307,refute_0_2308]) ).
cnf(refute_0_2310,plain,
join(one,join(X0,join(one,one))) = composition(join(one,one),join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,one))),join(X0,composition(join(one,one),join(one,one)))) )],[refute_0_2062,refute_0_2309]) ).
cnf(refute_0_2311,plain,
converse(join(converse(X0),composition(join(one,one),join(one,one)))) = join(X0,converse(composition(join(one,one),join(one,one)))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(composition(join(one,one),join(one,one))))]]) ).
cnf(refute_0_2312,plain,
converse(join(one,join(one,join(one,one)))) = converse(join(one,join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,join(one,one)))))]]) ).
cnf(refute_0_2313,plain,
( converse(join(one,join(one,join(one,one)))) != converse(join(one,join(one,join(one,one))))
| join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| converse(join(one,join(one,join(one,one)))) = converse(composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),converse(join(one,join(one,join(one,one))))) ),[1,0],$fot(composition(join(one,one),join(one,one)))]]) ).
cnf(refute_0_2314,plain,
( join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| converse(join(one,join(one,join(one,one)))) = converse(composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),converse(join(one,join(one,join(one,one))))) )],[refute_0_2312,refute_0_2313]) ).
cnf(refute_0_2315,plain,
converse(join(one,join(one,join(one,one)))) = converse(composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,one))),composition(join(one,one),join(one,one))) )],[refute_0_2043,refute_0_2314]) ).
cnf(refute_0_2316,plain,
( converse(join(one,join(one,join(one,one)))) != converse(composition(join(one,one),join(one,one)))
| converse(join(one,join(one,join(one,one)))) != join(one,join(one,join(one,one)))
| converse(composition(join(one,one),join(one,one))) = join(one,join(one,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,join(one,join(one,one)))) ),[0],$fot(converse(composition(join(one,one),join(one,one))))]]) ).
cnf(refute_0_2317,plain,
( converse(join(one,join(one,join(one,one)))) != join(one,join(one,join(one,one)))
| converse(composition(join(one,one),join(one,one))) = join(one,join(one,join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),converse(composition(join(one,one),join(one,one)))) )],[refute_0_2315,refute_0_2316]) ).
cnf(refute_0_2318,plain,
( converse(composition(join(one,one),join(one,one))) != join(one,join(one,join(one,one)))
| join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| converse(composition(join(one,one),join(one,one))) = composition(join(one,one),join(one,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(join(one,one),join(one,one))),composition(join(one,one),join(one,one))) ),[0],$fot(join(one,join(one,join(one,one))))]]) ).
cnf(refute_0_2319,plain,
( converse(composition(join(one,one),join(one,one))) != join(one,join(one,join(one,one)))
| converse(composition(join(one,one),join(one,one))) = composition(join(one,one),join(one,one)) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,one))),composition(join(one,one),join(one,one))) )],[refute_0_2043,refute_0_2318]) ).
cnf(refute_0_2320,plain,
( converse(join(one,join(one,join(one,one)))) != join(one,join(one,join(one,one)))
| converse(composition(join(one,one),join(one,one))) = composition(join(one,one),join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,one),join(one,one))),join(one,join(one,join(one,one)))) )],[refute_0_2317,refute_0_2319]) ).
cnf(refute_0_2321,plain,
converse(composition(join(one,one),join(one,one))) = composition(join(one,one),join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,join(one,join(one,one)))) )],[refute_0_1985,refute_0_2320]) ).
cnf(refute_0_2322,plain,
( converse(composition(join(one,one),join(one,one))) != composition(join(one,one),join(one,one))
| converse(join(converse(X0),composition(join(one,one),join(one,one)))) != join(X0,converse(composition(join(one,one),join(one,one))))
| converse(join(converse(X0),composition(join(one,one),join(one,one)))) = join(X0,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(join(one,one),join(one,one)))),join(X0,converse(composition(join(one,one),join(one,one))))) ),[1,1],$fot(composition(join(one,one),join(one,one)))]]) ).
cnf(refute_0_2323,plain,
( converse(join(converse(X0),composition(join(one,one),join(one,one)))) != join(X0,converse(composition(join(one,one),join(one,one))))
| converse(join(converse(X0),composition(join(one,one),join(one,one)))) = join(X0,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(one,one),join(one,one))),composition(join(one,one),join(one,one))) )],[refute_0_2321,refute_0_2322]) ).
cnf(refute_0_2324,plain,
converse(join(converse(X0),composition(join(one,one),join(one,one)))) = join(X0,composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(join(one,one),join(one,one)))),join(X0,converse(composition(join(one,one),join(one,one))))) )],[refute_0_2311,refute_0_2323]) ).
cnf(refute_0_2325,plain,
converse(converse(join(one,join(one,join(one,join(X0,one)))))) = join(one,join(one,join(one,join(X0,one)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,join(one,join(one,join(X0,one))))))]]) ).
cnf(refute_0_2326,plain,
join(one,converse(join(one,join(one,join(X0,one))))) = converse(join(one,join(one,join(one,join(X0,one))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(one,join(one,join(X0,one)))))]]) ).
cnf(refute_0_2327,plain,
join(one,converse(join(one,join(X0,one)))) = converse(join(one,join(one,join(X0,one)))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(one,join(X0,one))))]]) ).
cnf(refute_0_2328,plain,
join(one,converse(join(X0,one))) = converse(join(one,join(X0,one))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(X0,one)))]]) ).
cnf(refute_0_2329,plain,
converse(join(converse(X0),join(one,X_57))) = join(X0,converse(join(one,X_57))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(join(one,X_57)))]]) ).
cnf(refute_0_2330,plain,
( converse(join(X_57,one)) != converse(join(one,X_57))
| converse(join(one,X_57)) = converse(join(X_57,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_57,one)))),bind(Y,$fot(converse(join(one,X_57))))]]) ).
cnf(refute_0_2331,plain,
converse(join(one,X_57)) = converse(join(X_57,one)),
inference(resolve,[$cnf( $equal(converse(join(X_57,one)),converse(join(one,X_57))) )],[refute_0_1744,refute_0_2330]) ).
cnf(refute_0_2332,plain,
( converse(join(converse(X0),join(one,X_57))) != join(X0,converse(join(one,X_57)))
| converse(join(one,X_57)) != converse(join(X_57,one))
| converse(join(converse(X0),join(one,X_57))) = join(X0,converse(join(X_57,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,X_57))),join(X0,converse(join(one,X_57)))) ),[1,1],$fot(converse(join(X_57,one)))]]) ).
cnf(refute_0_2333,plain,
( converse(join(converse(X0),join(one,X_57))) != join(X0,converse(join(one,X_57)))
| converse(join(converse(X0),join(one,X_57))) = join(X0,converse(join(X_57,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,X_57)),converse(join(X_57,one))) )],[refute_0_2331,refute_0_2332]) ).
cnf(refute_0_2334,plain,
converse(join(converse(X0),join(one,X_57))) = join(X0,converse(join(X_57,one))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,X_57))),join(X0,converse(join(one,X_57)))) )],[refute_0_2329,refute_0_2333]) ).
cnf(refute_0_2335,plain,
converse(join(one,join(converse(X0),X_57))) = join(one,join(X0,converse(X_57))),
inference(subst,[],[refute_0_2000:[bind(X_7,$fot(X_57))]]) ).
cnf(refute_0_2336,plain,
converse(join(converse(X0),join(one,X_57))) = converse(join(one,join(converse(X0),X_57))),
inference(subst,[],[refute_0_2025:[bind(X1,$fot(X_57)),bind(X_57,$fot(converse(X0)))]]) ).
cnf(refute_0_2337,plain,
( converse(join(converse(X0),join(one,X_57))) != converse(join(one,join(converse(X0),X_57)))
| converse(join(one,join(converse(X0),X_57))) != join(one,join(X0,converse(X_57)))
| converse(join(converse(X0),join(one,X_57))) = join(one,join(X0,converse(X_57))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(one,X_57))))),bind(Y,$fot(converse(join(one,join(converse(X0),X_57))))),bind(Z,$fot(join(one,join(X0,converse(X_57)))))]]) ).
cnf(refute_0_2338,plain,
( converse(join(one,join(converse(X0),X_57))) != join(one,join(X0,converse(X_57)))
| converse(join(converse(X0),join(one,X_57))) = join(one,join(X0,converse(X_57))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,X_57))),converse(join(one,join(converse(X0),X_57)))) )],[refute_0_2336,refute_0_2337]) ).
cnf(refute_0_2339,plain,
converse(join(converse(X0),join(one,X_57))) = join(one,join(X0,converse(X_57))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X0),X_57))),join(one,join(X0,converse(X_57)))) )],[refute_0_2335,refute_0_2338]) ).
cnf(refute_0_2340,plain,
( converse(join(converse(X0),join(one,X_57))) != join(X0,converse(join(X_57,one)))
| converse(join(converse(X0),join(one,X_57))) != join(one,join(X0,converse(X_57)))
| join(one,join(X0,converse(X_57))) = join(X0,converse(join(X_57,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,X_57))),join(X0,converse(join(X_57,one)))) ),[0],$fot(join(one,join(X0,converse(X_57))))]]) ).
cnf(refute_0_2341,plain,
( converse(join(converse(X0),join(one,X_57))) != join(X0,converse(join(X_57,one)))
| join(one,join(X0,converse(X_57))) = join(X0,converse(join(X_57,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,X_57))),join(one,join(X0,converse(X_57)))) )],[refute_0_2339,refute_0_2340]) ).
cnf(refute_0_2342,plain,
join(one,join(X0,converse(X_57))) = join(X0,converse(join(X_57,one))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,X_57))),join(X0,converse(join(X_57,one)))) )],[refute_0_2334,refute_0_2341]) ).
cnf(refute_0_2343,plain,
join(one,join(one,converse(X0))) = join(one,converse(join(X0,one))),
inference(subst,[],[refute_0_2342:[bind(X0,$fot(one)),bind(X_57,$fot(X0))]]) ).
cnf(refute_0_2344,plain,
( join(one,converse(join(X0,one))) != converse(join(one,join(X0,one)))
| join(one,join(one,converse(X0))) != join(one,converse(join(X0,one)))
| join(one,join(one,converse(X0))) = converse(join(one,join(X0,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(one,converse(X0))))),bind(Y,$fot(join(one,converse(join(X0,one))))),bind(Z,$fot(converse(join(one,join(X0,one)))))]]) ).
cnf(refute_0_2345,plain,
( join(one,converse(join(X0,one))) != converse(join(one,join(X0,one)))
| join(one,join(one,converse(X0))) = converse(join(one,join(X0,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X0))),join(one,converse(join(X0,one)))) )],[refute_0_2343,refute_0_2344]) ).
cnf(refute_0_2346,plain,
join(one,join(one,converse(X0))) = converse(join(one,join(X0,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X0,one))),converse(join(one,join(X0,one)))) )],[refute_0_2328,refute_0_2345]) ).
cnf(refute_0_2347,plain,
join(one,join(one,join(one,converse(X0)))) = join(one,join(one,join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(join(one,join(one,join(one,converse(X0)))))]]) ).
cnf(refute_0_2348,plain,
( join(one,join(one,converse(X0))) != converse(join(one,join(X0,one)))
| join(one,join(one,join(one,converse(X0)))) != join(one,join(one,join(one,converse(X0))))
| join(one,join(one,join(one,converse(X0)))) = join(one,converse(join(one,join(X0,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(one,converse(X0)))),join(one,join(one,join(one,converse(X0))))) ),[1,1],$fot(converse(join(one,join(X0,one))))]]) ).
cnf(refute_0_2349,plain,
( join(one,join(one,converse(X0))) != converse(join(one,join(X0,one)))
| join(one,join(one,join(one,converse(X0)))) = join(one,converse(join(one,join(X0,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,converse(X0)))),join(one,join(one,join(one,converse(X0))))) )],[refute_0_2347,refute_0_2348]) ).
cnf(refute_0_2350,plain,
join(one,join(one,join(one,converse(X0)))) = join(one,converse(join(one,join(X0,one)))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X0))),converse(join(one,join(X0,one)))) )],[refute_0_2346,refute_0_2349]) ).
cnf(refute_0_2351,plain,
( join(one,converse(join(one,join(X0,one)))) != converse(join(one,join(one,join(X0,one))))
| join(one,join(one,join(one,converse(X0)))) != join(one,converse(join(one,join(X0,one))))
| join(one,join(one,join(one,converse(X0)))) = converse(join(one,join(one,join(X0,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(one,join(one,converse(X0)))))),bind(Y,$fot(join(one,converse(join(one,join(X0,one)))))),bind(Z,$fot(converse(join(one,join(one,join(X0,one))))))]]) ).
cnf(refute_0_2352,plain,
( join(one,converse(join(one,join(X0,one)))) != converse(join(one,join(one,join(X0,one))))
| join(one,join(one,join(one,converse(X0)))) = converse(join(one,join(one,join(X0,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,converse(X0)))),join(one,converse(join(one,join(X0,one))))) )],[refute_0_2350,refute_0_2351]) ).
cnf(refute_0_2353,plain,
join(one,join(one,join(one,converse(X0)))) = converse(join(one,join(one,join(X0,one)))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,join(X0,one)))),converse(join(one,join(one,join(X0,one))))) )],[refute_0_2327,refute_0_2352]) ).
cnf(refute_0_2354,plain,
join(one,join(one,join(one,join(one,converse(X0))))) = join(one,join(one,join(one,join(one,converse(X0))))),
introduced(tautology,[refl,[$fot(join(one,join(one,join(one,join(one,converse(X0))))))]]) ).
cnf(refute_0_2355,plain,
( join(one,join(one,join(one,converse(X0)))) != converse(join(one,join(one,join(X0,one))))
| join(one,join(one,join(one,join(one,converse(X0))))) != join(one,join(one,join(one,join(one,converse(X0)))))
| join(one,join(one,join(one,join(one,converse(X0))))) = join(one,converse(join(one,join(one,join(X0,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(one,join(one,converse(X0))))),join(one,join(one,join(one,join(one,converse(X0)))))) ),[1,1],$fot(converse(join(one,join(one,join(X0,one)))))]]) ).
cnf(refute_0_2356,plain,
( join(one,join(one,join(one,converse(X0)))) != converse(join(one,join(one,join(X0,one))))
| join(one,join(one,join(one,join(one,converse(X0))))) = join(one,converse(join(one,join(one,join(X0,one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,join(one,converse(X0))))),join(one,join(one,join(one,join(one,converse(X0)))))) )],[refute_0_2354,refute_0_2355]) ).
cnf(refute_0_2357,plain,
join(one,join(one,join(one,join(one,converse(X0))))) = join(one,converse(join(one,join(one,join(X0,one))))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,converse(X0)))),converse(join(one,join(one,join(X0,one))))) )],[refute_0_2353,refute_0_2356]) ).
cnf(refute_0_2358,plain,
( join(one,converse(join(one,join(one,join(X0,one))))) != converse(join(one,join(one,join(one,join(X0,one)))))
| join(one,join(one,join(one,join(one,converse(X0))))) != join(one,converse(join(one,join(one,join(X0,one)))))
| join(one,join(one,join(one,join(one,converse(X0))))) = converse(join(one,join(one,join(one,join(X0,one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(one,join(one,join(one,converse(X0))))))),bind(Y,$fot(join(one,converse(join(one,join(one,join(X0,one))))))),bind(Z,$fot(converse(join(one,join(one,join(one,join(X0,one)))))))]]) ).
cnf(refute_0_2359,plain,
( join(one,converse(join(one,join(one,join(X0,one))))) != converse(join(one,join(one,join(one,join(X0,one)))))
| join(one,join(one,join(one,join(one,converse(X0))))) = converse(join(one,join(one,join(one,join(X0,one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,join(one,converse(X0))))),join(one,converse(join(one,join(one,join(X0,one)))))) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
join(one,join(one,join(one,join(one,converse(X0))))) = converse(join(one,join(one,join(one,join(X0,one))))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,join(one,join(X0,one))))),converse(join(one,join(one,join(one,join(X0,one)))))) )],[refute_0_2326,refute_0_2359]) ).
cnf(refute_0_2361,plain,
converse(join(one,join(one,join(one,join(one,converse(X0)))))) = converse(join(one,join(one,join(one,join(one,converse(X0)))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,join(one,join(one,converse(X0)))))))]]) ).
cnf(refute_0_2362,plain,
( converse(join(one,join(one,join(one,join(one,converse(X0)))))) != converse(join(one,join(one,join(one,join(one,converse(X0))))))
| join(one,join(one,join(one,join(one,converse(X0))))) != converse(join(one,join(one,join(one,join(X0,one)))))
| converse(join(one,join(one,join(one,join(one,converse(X0)))))) = converse(converse(join(one,join(one,join(one,join(X0,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,join(one,join(one,converse(X0)))))),converse(join(one,join(one,join(one,join(one,converse(X0))))))) ),[1,0],$fot(converse(join(one,join(one,join(one,join(X0,one))))))]]) ).
cnf(refute_0_2363,plain,
( join(one,join(one,join(one,join(one,converse(X0))))) != converse(join(one,join(one,join(one,join(X0,one)))))
| converse(join(one,join(one,join(one,join(one,converse(X0)))))) = converse(converse(join(one,join(one,join(one,join(X0,one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,join(one,converse(X0)))))),converse(join(one,join(one,join(one,join(one,converse(X0))))))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
converse(join(one,join(one,join(one,join(one,converse(X0)))))) = converse(converse(join(one,join(one,join(one,join(X0,one)))))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,join(one,converse(X0))))),converse(join(one,join(one,join(one,join(X0,one)))))) )],[refute_0_2360,refute_0_2363]) ).
cnf(refute_0_2365,plain,
( converse(converse(join(one,join(one,join(one,join(X0,one)))))) != join(one,join(one,join(one,join(X0,one))))
| converse(join(one,join(one,join(one,join(one,converse(X0)))))) != converse(converse(join(one,join(one,join(one,join(X0,one))))))
| converse(join(one,join(one,join(one,join(one,converse(X0)))))) = join(one,join(one,join(one,join(X0,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(one,join(one,join(one,converse(X0)))))))),bind(Y,$fot(converse(converse(join(one,join(one,join(one,join(X0,one)))))))),bind(Z,$fot(join(one,join(one,join(one,join(X0,one))))))]]) ).
cnf(refute_0_2366,plain,
( converse(converse(join(one,join(one,join(one,join(X0,one)))))) != join(one,join(one,join(one,join(X0,one))))
| converse(join(one,join(one,join(one,join(one,converse(X0)))))) = join(one,join(one,join(one,join(X0,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,join(one,converse(X0)))))),converse(converse(join(one,join(one,join(one,join(X0,one))))))) )],[refute_0_2364,refute_0_2365]) ).
cnf(refute_0_2367,plain,
converse(join(one,join(one,join(one,join(one,converse(X0)))))) = join(one,join(one,join(one,join(X0,one)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,join(one,join(one,join(X0,one)))))),join(one,join(one,join(one,join(X0,one))))) )],[refute_0_2325,refute_0_2366]) ).
cnf(refute_0_2368,plain,
converse(join(converse(join(one,join(one,join(one,one)))),X_7)) = join(join(one,join(one,join(one,one))),converse(X_7)),
inference(subst,[],[refute_0_413:[bind(X0,$fot(join(one,join(one,join(one,one)))))]]) ).
cnf(refute_0_2369,plain,
( converse(join(converse(join(one,join(one,join(one,one)))),X_7)) != join(join(one,join(one,join(one,one))),converse(X_7))
| converse(join(one,join(one,join(one,one)))) != join(one,join(one,join(one,one)))
| converse(join(join(one,join(one,join(one,one))),X_7)) = join(join(one,join(one,join(one,one))),converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(one,join(one,join(one,one)))),X_7)),join(join(one,join(one,join(one,one))),converse(X_7))) ),[0,0,0],$fot(join(one,join(one,join(one,one))))]]) ).
cnf(refute_0_2370,plain,
( converse(join(converse(join(one,join(one,join(one,one)))),X_7)) != join(join(one,join(one,join(one,one))),converse(X_7))
| converse(join(join(one,join(one,join(one,one))),X_7)) = join(join(one,join(one,join(one,one))),converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,join(one,join(one,one)))) )],[refute_0_1985,refute_0_2369]) ).
cnf(refute_0_2371,plain,
converse(join(join(one,join(one,join(one,one))),X_7)) = join(join(one,join(one,join(one,one))),converse(X_7)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(one,join(one,join(one,one)))),X_7)),join(join(one,join(one,join(one,one))),converse(X_7))) )],[refute_0_2368,refute_0_2370]) ).
cnf(refute_0_2372,plain,
join(join(one,one),X_7) = join(one,join(one,X_7)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(X_7))]]) ).
cnf(refute_0_2373,plain,
join(one,join(join(one,one),X_7)) = join(one,join(join(one,one),X_7)),
introduced(tautology,[refl,[$fot(join(one,join(join(one,one),X_7)))]]) ).
cnf(refute_0_2374,plain,
( join(join(one,one),X_7) != join(one,join(one,X_7))
| join(one,join(join(one,one),X_7)) != join(one,join(join(one,one),X_7))
| join(one,join(join(one,one),X_7)) = join(one,join(one,join(one,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(one,one),X_7)),join(one,join(join(one,one),X_7))) ),[1,1],$fot(join(one,join(one,X_7)))]]) ).
cnf(refute_0_2375,plain,
( join(join(one,one),X_7) != join(one,join(one,X_7))
| join(one,join(join(one,one),X_7)) = join(one,join(one,join(one,X_7))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),X_7)),join(one,join(join(one,one),X_7))) )],[refute_0_2373,refute_0_2374]) ).
cnf(refute_0_2376,plain,
join(one,join(join(one,one),X_7)) = join(one,join(one,join(one,X_7))),
inference(resolve,[$cnf( $equal(join(join(one,one),X_7),join(one,join(one,X_7))) )],[refute_0_2372,refute_0_2375]) ).
cnf(refute_0_2377,plain,
join(join(one,join(one,one)),X_7) = join(one,join(join(one,one),X_7)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(join(one,one))),bind(X2,$fot(X_7))]]) ).
cnf(refute_0_2378,plain,
( join(join(one,join(one,one)),X_7) != join(one,join(join(one,one),X_7))
| join(one,join(join(one,one),X_7)) != join(one,join(one,join(one,X_7)))
| join(join(one,join(one,one)),X_7) = join(one,join(one,join(one,X_7))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,join(one,one)),X_7))),bind(Y,$fot(join(one,join(join(one,one),X_7)))),bind(Z,$fot(join(one,join(one,join(one,X_7)))))]]) ).
cnf(refute_0_2379,plain,
( join(one,join(join(one,one),X_7)) != join(one,join(one,join(one,X_7)))
| join(join(one,join(one,one)),X_7) = join(one,join(one,join(one,X_7))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,one)),X_7),join(one,join(join(one,one),X_7))) )],[refute_0_2377,refute_0_2378]) ).
cnf(refute_0_2380,plain,
join(join(one,join(one,one)),X_7) = join(one,join(one,join(one,X_7))),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),X_7)),join(one,join(one,join(one,X_7)))) )],[refute_0_2376,refute_0_2379]) ).
cnf(refute_0_2381,plain,
join(one,join(join(one,join(one,one)),X_7)) = join(one,join(join(one,join(one,one)),X_7)),
introduced(tautology,[refl,[$fot(join(one,join(join(one,join(one,one)),X_7)))]]) ).
cnf(refute_0_2382,plain,
( join(join(one,join(one,one)),X_7) != join(one,join(one,join(one,X_7)))
| join(one,join(join(one,join(one,one)),X_7)) != join(one,join(join(one,join(one,one)),X_7))
| join(one,join(join(one,join(one,one)),X_7)) = join(one,join(one,join(one,join(one,X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(one,join(one,one)),X_7)),join(one,join(join(one,join(one,one)),X_7))) ),[1,1],$fot(join(one,join(one,join(one,X_7))))]]) ).
cnf(refute_0_2383,plain,
( join(join(one,join(one,one)),X_7) != join(one,join(one,join(one,X_7)))
| join(one,join(join(one,join(one,one)),X_7)) = join(one,join(one,join(one,join(one,X_7)))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,join(one,one)),X_7)),join(one,join(join(one,join(one,one)),X_7))) )],[refute_0_2381,refute_0_2382]) ).
cnf(refute_0_2384,plain,
join(one,join(join(one,join(one,one)),X_7)) = join(one,join(one,join(one,join(one,X_7)))),
inference(resolve,[$cnf( $equal(join(join(one,join(one,one)),X_7),join(one,join(one,join(one,X_7)))) )],[refute_0_2380,refute_0_2383]) ).
cnf(refute_0_2385,plain,
join(join(one,join(one,join(one,one))),X_7) = join(one,join(join(one,join(one,one)),X_7)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(join(one,join(one,one)))),bind(X2,$fot(X_7))]]) ).
cnf(refute_0_2386,plain,
( join(join(one,join(one,join(one,one))),X_7) != join(one,join(join(one,join(one,one)),X_7))
| join(one,join(join(one,join(one,one)),X_7)) != join(one,join(one,join(one,join(one,X_7))))
| join(join(one,join(one,join(one,one))),X_7) = join(one,join(one,join(one,join(one,X_7)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,join(one,join(one,one))),X_7))),bind(Y,$fot(join(one,join(join(one,join(one,one)),X_7)))),bind(Z,$fot(join(one,join(one,join(one,join(one,X_7))))))]]) ).
cnf(refute_0_2387,plain,
( join(one,join(join(one,join(one,one)),X_7)) != join(one,join(one,join(one,join(one,X_7))))
| join(join(one,join(one,join(one,one))),X_7) = join(one,join(one,join(one,join(one,X_7)))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,join(one,one))),X_7),join(one,join(join(one,join(one,one)),X_7))) )],[refute_0_2385,refute_0_2386]) ).
cnf(refute_0_2388,plain,
join(join(one,join(one,join(one,one))),X_7) = join(one,join(one,join(one,join(one,X_7)))),
inference(resolve,[$cnf( $equal(join(one,join(join(one,join(one,one)),X_7)),join(one,join(one,join(one,join(one,X_7))))) )],[refute_0_2384,refute_0_2387]) ).
cnf(refute_0_2389,plain,
converse(join(join(one,join(one,join(one,one))),X_7)) = converse(join(join(one,join(one,join(one,one))),X_7)),
introduced(tautology,[refl,[$fot(converse(join(join(one,join(one,join(one,one))),X_7)))]]) ).
cnf(refute_0_2390,plain,
( converse(join(join(one,join(one,join(one,one))),X_7)) != converse(join(join(one,join(one,join(one,one))),X_7))
| join(join(one,join(one,join(one,one))),X_7) != join(one,join(one,join(one,join(one,X_7))))
| converse(join(join(one,join(one,join(one,one))),X_7)) = converse(join(one,join(one,join(one,join(one,X_7))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,join(one,join(one,one))),X_7)),converse(join(join(one,join(one,join(one,one))),X_7))) ),[1,0],$fot(join(one,join(one,join(one,join(one,X_7)))))]]) ).
cnf(refute_0_2391,plain,
( join(join(one,join(one,join(one,one))),X_7) != join(one,join(one,join(one,join(one,X_7))))
| converse(join(join(one,join(one,join(one,one))),X_7)) = converse(join(one,join(one,join(one,join(one,X_7))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(one,join(one,one))),X_7)),converse(join(join(one,join(one,join(one,one))),X_7))) )],[refute_0_2389,refute_0_2390]) ).
cnf(refute_0_2392,plain,
converse(join(join(one,join(one,join(one,one))),X_7)) = converse(join(one,join(one,join(one,join(one,X_7))))),
inference(resolve,[$cnf( $equal(join(join(one,join(one,join(one,one))),X_7),join(one,join(one,join(one,join(one,X_7))))) )],[refute_0_2388,refute_0_2391]) ).
cnf(refute_0_2393,plain,
( converse(join(join(one,join(one,join(one,one))),X_7)) != converse(join(one,join(one,join(one,join(one,X_7)))))
| converse(join(join(one,join(one,join(one,one))),X_7)) != join(join(one,join(one,join(one,one))),converse(X_7))
| converse(join(one,join(one,join(one,join(one,X_7))))) = join(join(one,join(one,join(one,one))),converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,join(one,join(one,one))),X_7)),join(join(one,join(one,join(one,one))),converse(X_7))) ),[0],$fot(converse(join(one,join(one,join(one,join(one,X_7))))))]]) ).
cnf(refute_0_2394,plain,
( converse(join(join(one,join(one,join(one,one))),X_7)) != join(join(one,join(one,join(one,one))),converse(X_7))
| converse(join(one,join(one,join(one,join(one,X_7))))) = join(join(one,join(one,join(one,one))),converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(one,join(one,one))),X_7)),converse(join(one,join(one,join(one,join(one,X_7)))))) )],[refute_0_2392,refute_0_2393]) ).
cnf(refute_0_2395,plain,
join(one,converse(join(one,join(one,join(X_7,one))))) = converse(join(one,join(one,join(one,join(X_7,one))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(one,join(one,join(X_7,one)))))]]) ).
cnf(refute_0_2396,plain,
join(one,converse(join(one,join(X_7,one)))) = converse(join(one,join(one,join(X_7,one)))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(one,join(X_7,one))))]]) ).
cnf(refute_0_2397,plain,
join(one,converse(join(X_7,one))) = converse(join(one,join(X_7,one))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(X_7,one)))]]) ).
cnf(refute_0_2398,plain,
join(one,join(one,converse(X_7))) = join(one,converse(join(X_7,one))),
inference(subst,[],[refute_0_2342:[bind(X0,$fot(one)),bind(X_57,$fot(X_7))]]) ).
cnf(refute_0_2399,plain,
( join(one,converse(join(X_7,one))) != converse(join(one,join(X_7,one)))
| join(one,join(one,converse(X_7))) != join(one,converse(join(X_7,one)))
| join(one,join(one,converse(X_7))) = converse(join(one,join(X_7,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(one,converse(X_7))))),bind(Y,$fot(join(one,converse(join(X_7,one))))),bind(Z,$fot(converse(join(one,join(X_7,one)))))]]) ).
cnf(refute_0_2400,plain,
( join(one,converse(join(X_7,one))) != converse(join(one,join(X_7,one)))
| join(one,join(one,converse(X_7))) = converse(join(one,join(X_7,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_7))),join(one,converse(join(X_7,one)))) )],[refute_0_2398,refute_0_2399]) ).
cnf(refute_0_2401,plain,
join(one,join(one,converse(X_7))) = converse(join(one,join(X_7,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_7,one))),converse(join(one,join(X_7,one)))) )],[refute_0_2397,refute_0_2400]) ).
cnf(refute_0_2402,plain,
join(join(one,one),converse(X_7)) = join(one,join(one,converse(X_7))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(converse(X_7)))]]) ).
cnf(refute_0_2403,plain,
( join(join(one,one),converse(X_7)) != join(one,join(one,converse(X_7)))
| join(one,join(one,converse(X_7))) != converse(join(one,join(X_7,one)))
| join(join(one,one),converse(X_7)) = converse(join(one,join(X_7,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,one),converse(X_7)))),bind(Y,$fot(join(one,join(one,converse(X_7))))),bind(Z,$fot(converse(join(one,join(X_7,one)))))]]) ).
cnf(refute_0_2404,plain,
( join(one,join(one,converse(X_7))) != converse(join(one,join(X_7,one)))
| join(join(one,one),converse(X_7)) = converse(join(one,join(X_7,one))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(X_7)),join(one,join(one,converse(X_7)))) )],[refute_0_2402,refute_0_2403]) ).
cnf(refute_0_2405,plain,
join(join(one,one),converse(X_7)) = converse(join(one,join(X_7,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_7))),converse(join(one,join(X_7,one)))) )],[refute_0_2401,refute_0_2404]) ).
cnf(refute_0_2406,plain,
join(one,join(join(one,one),converse(X_7))) = join(one,join(join(one,one),converse(X_7))),
introduced(tautology,[refl,[$fot(join(one,join(join(one,one),converse(X_7))))]]) ).
cnf(refute_0_2407,plain,
( join(join(one,one),converse(X_7)) != converse(join(one,join(X_7,one)))
| join(one,join(join(one,one),converse(X_7))) != join(one,join(join(one,one),converse(X_7)))
| join(one,join(join(one,one),converse(X_7))) = join(one,converse(join(one,join(X_7,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(one,one),converse(X_7))),join(one,join(join(one,one),converse(X_7)))) ),[1,1],$fot(converse(join(one,join(X_7,one))))]]) ).
cnf(refute_0_2408,plain,
( join(join(one,one),converse(X_7)) != converse(join(one,join(X_7,one)))
| join(one,join(join(one,one),converse(X_7))) = join(one,converse(join(one,join(X_7,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),converse(X_7))),join(one,join(join(one,one),converse(X_7)))) )],[refute_0_2406,refute_0_2407]) ).
cnf(refute_0_2409,plain,
join(one,join(join(one,one),converse(X_7))) = join(one,converse(join(one,join(X_7,one)))),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(X_7)),converse(join(one,join(X_7,one)))) )],[refute_0_2405,refute_0_2408]) ).
cnf(refute_0_2410,plain,
( join(one,converse(join(one,join(X_7,one)))) != converse(join(one,join(one,join(X_7,one))))
| join(one,join(join(one,one),converse(X_7))) != join(one,converse(join(one,join(X_7,one))))
| join(one,join(join(one,one),converse(X_7))) = converse(join(one,join(one,join(X_7,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(join(one,one),converse(X_7))))),bind(Y,$fot(join(one,converse(join(one,join(X_7,one)))))),bind(Z,$fot(converse(join(one,join(one,join(X_7,one))))))]]) ).
cnf(refute_0_2411,plain,
( join(one,converse(join(one,join(X_7,one)))) != converse(join(one,join(one,join(X_7,one))))
| join(one,join(join(one,one),converse(X_7))) = converse(join(one,join(one,join(X_7,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),converse(X_7))),join(one,converse(join(one,join(X_7,one))))) )],[refute_0_2409,refute_0_2410]) ).
cnf(refute_0_2412,plain,
join(one,join(join(one,one),converse(X_7))) = converse(join(one,join(one,join(X_7,one)))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,join(X_7,one)))),converse(join(one,join(one,join(X_7,one))))) )],[refute_0_2396,refute_0_2411]) ).
cnf(refute_0_2413,plain,
join(join(one,join(one,one)),converse(X_7)) = join(one,join(join(one,one),converse(X_7))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(join(one,one))),bind(X2,$fot(converse(X_7)))]]) ).
cnf(refute_0_2414,plain,
( join(join(one,join(one,one)),converse(X_7)) != join(one,join(join(one,one),converse(X_7)))
| join(one,join(join(one,one),converse(X_7))) != converse(join(one,join(one,join(X_7,one))))
| join(join(one,join(one,one)),converse(X_7)) = converse(join(one,join(one,join(X_7,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,join(one,one)),converse(X_7)))),bind(Y,$fot(join(one,join(join(one,one),converse(X_7))))),bind(Z,$fot(converse(join(one,join(one,join(X_7,one))))))]]) ).
cnf(refute_0_2415,plain,
( join(one,join(join(one,one),converse(X_7))) != converse(join(one,join(one,join(X_7,one))))
| join(join(one,join(one,one)),converse(X_7)) = converse(join(one,join(one,join(X_7,one)))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,one)),converse(X_7)),join(one,join(join(one,one),converse(X_7)))) )],[refute_0_2413,refute_0_2414]) ).
cnf(refute_0_2416,plain,
join(join(one,join(one,one)),converse(X_7)) = converse(join(one,join(one,join(X_7,one)))),
inference(resolve,[$cnf( $equal(join(one,join(join(one,one),converse(X_7))),converse(join(one,join(one,join(X_7,one))))) )],[refute_0_2412,refute_0_2415]) ).
cnf(refute_0_2417,plain,
join(one,join(join(one,join(one,one)),converse(X_7))) = join(one,join(join(one,join(one,one)),converse(X_7))),
introduced(tautology,[refl,[$fot(join(one,join(join(one,join(one,one)),converse(X_7))))]]) ).
cnf(refute_0_2418,plain,
( join(join(one,join(one,one)),converse(X_7)) != converse(join(one,join(one,join(X_7,one))))
| join(one,join(join(one,join(one,one)),converse(X_7))) != join(one,join(join(one,join(one,one)),converse(X_7)))
| join(one,join(join(one,join(one,one)),converse(X_7))) = join(one,converse(join(one,join(one,join(X_7,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(one,join(one,one)),converse(X_7))),join(one,join(join(one,join(one,one)),converse(X_7)))) ),[1,1],$fot(converse(join(one,join(one,join(X_7,one)))))]]) ).
cnf(refute_0_2419,plain,
( join(join(one,join(one,one)),converse(X_7)) != converse(join(one,join(one,join(X_7,one))))
| join(one,join(join(one,join(one,one)),converse(X_7))) = join(one,converse(join(one,join(one,join(X_7,one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,join(one,one)),converse(X_7))),join(one,join(join(one,join(one,one)),converse(X_7)))) )],[refute_0_2417,refute_0_2418]) ).
cnf(refute_0_2420,plain,
join(one,join(join(one,join(one,one)),converse(X_7))) = join(one,converse(join(one,join(one,join(X_7,one))))),
inference(resolve,[$cnf( $equal(join(join(one,join(one,one)),converse(X_7)),converse(join(one,join(one,join(X_7,one))))) )],[refute_0_2416,refute_0_2419]) ).
cnf(refute_0_2421,plain,
( join(one,converse(join(one,join(one,join(X_7,one))))) != converse(join(one,join(one,join(one,join(X_7,one)))))
| join(one,join(join(one,join(one,one)),converse(X_7))) != join(one,converse(join(one,join(one,join(X_7,one)))))
| join(one,join(join(one,join(one,one)),converse(X_7))) = converse(join(one,join(one,join(one,join(X_7,one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(join(one,join(one,one)),converse(X_7))))),bind(Y,$fot(join(one,converse(join(one,join(one,join(X_7,one))))))),bind(Z,$fot(converse(join(one,join(one,join(one,join(X_7,one)))))))]]) ).
cnf(refute_0_2422,plain,
( join(one,converse(join(one,join(one,join(X_7,one))))) != converse(join(one,join(one,join(one,join(X_7,one)))))
| join(one,join(join(one,join(one,one)),converse(X_7))) = converse(join(one,join(one,join(one,join(X_7,one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,join(one,one)),converse(X_7))),join(one,converse(join(one,join(one,join(X_7,one)))))) )],[refute_0_2420,refute_0_2421]) ).
cnf(refute_0_2423,plain,
join(one,join(join(one,join(one,one)),converse(X_7))) = converse(join(one,join(one,join(one,join(X_7,one))))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,join(one,join(X_7,one))))),converse(join(one,join(one,join(one,join(X_7,one)))))) )],[refute_0_2395,refute_0_2422]) ).
cnf(refute_0_2424,plain,
join(join(one,join(one,join(one,one))),converse(X_7)) = join(one,join(join(one,join(one,one)),converse(X_7))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(join(one,join(one,one)))),bind(X2,$fot(converse(X_7)))]]) ).
cnf(refute_0_2425,plain,
( join(join(one,join(one,join(one,one))),converse(X_7)) != join(one,join(join(one,join(one,one)),converse(X_7)))
| join(one,join(join(one,join(one,one)),converse(X_7))) != converse(join(one,join(one,join(one,join(X_7,one)))))
| join(join(one,join(one,join(one,one))),converse(X_7)) = converse(join(one,join(one,join(one,join(X_7,one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,join(one,join(one,one))),converse(X_7)))),bind(Y,$fot(join(one,join(join(one,join(one,one)),converse(X_7))))),bind(Z,$fot(converse(join(one,join(one,join(one,join(X_7,one)))))))]]) ).
cnf(refute_0_2426,plain,
( join(one,join(join(one,join(one,one)),converse(X_7))) != converse(join(one,join(one,join(one,join(X_7,one)))))
| join(join(one,join(one,join(one,one))),converse(X_7)) = converse(join(one,join(one,join(one,join(X_7,one))))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,join(one,one))),converse(X_7)),join(one,join(join(one,join(one,one)),converse(X_7)))) )],[refute_0_2424,refute_0_2425]) ).
cnf(refute_0_2427,plain,
join(join(one,join(one,join(one,one))),converse(X_7)) = converse(join(one,join(one,join(one,join(X_7,one))))),
inference(resolve,[$cnf( $equal(join(one,join(join(one,join(one,one)),converse(X_7))),converse(join(one,join(one,join(one,join(X_7,one)))))) )],[refute_0_2423,refute_0_2426]) ).
cnf(refute_0_2428,plain,
( converse(join(one,join(one,join(one,join(one,X_7))))) != join(join(one,join(one,join(one,one))),converse(X_7))
| join(join(one,join(one,join(one,one))),converse(X_7)) != converse(join(one,join(one,join(one,join(X_7,one)))))
| converse(join(one,join(one,join(one,join(one,X_7))))) = converse(join(one,join(one,join(one,join(X_7,one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(one,join(one,join(one,X_7))))),converse(join(one,join(one,join(one,join(X_7,one)))))) ),[0],$fot(join(join(one,join(one,join(one,one))),converse(X_7)))]]) ).
cnf(refute_0_2429,plain,
( converse(join(one,join(one,join(one,join(one,X_7))))) != join(join(one,join(one,join(one,one))),converse(X_7))
| converse(join(one,join(one,join(one,join(one,X_7))))) = converse(join(one,join(one,join(one,join(X_7,one))))) ),
inference(resolve,[$cnf( $equal(join(join(one,join(one,join(one,one))),converse(X_7)),converse(join(one,join(one,join(one,join(X_7,one)))))) )],[refute_0_2427,refute_0_2428]) ).
cnf(refute_0_2430,plain,
( converse(join(join(one,join(one,join(one,one))),X_7)) != join(join(one,join(one,join(one,one))),converse(X_7))
| converse(join(one,join(one,join(one,join(one,X_7))))) = converse(join(one,join(one,join(one,join(X_7,one))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,join(one,X_7))))),join(join(one,join(one,join(one,one))),converse(X_7))) )],[refute_0_2394,refute_0_2429]) ).
cnf(refute_0_2431,plain,
converse(join(one,join(one,join(one,join(one,X_7))))) = converse(join(one,join(one,join(one,join(X_7,one))))),
inference(resolve,[$cnf( $equal(converse(join(join(one,join(one,join(one,one))),X_7)),join(join(one,join(one,join(one,one))),converse(X_7))) )],[refute_0_2371,refute_0_2430]) ).
cnf(refute_0_2432,plain,
( converse(join(one,join(one,join(one,join(one,X_7))))) != converse(join(one,join(one,join(one,join(X_7,one)))))
| converse(join(one,join(one,join(one,join(X_7,one))))) = converse(join(one,join(one,join(one,join(one,X_7))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,join(one,join(one,join(one,X_7))))))),bind(Y,$fot(converse(join(one,join(one,join(one,join(X_7,one)))))))]]) ).
cnf(refute_0_2433,plain,
converse(join(one,join(one,join(one,join(X_7,one))))) = converse(join(one,join(one,join(one,join(one,X_7))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,join(one,X_7))))),converse(join(one,join(one,join(one,join(X_7,one)))))) )],[refute_0_2431,refute_0_2432]) ).
cnf(refute_0_2434,plain,
converse(join(one,join(one,join(one,join(converse(X0),one))))) = converse(join(one,join(one,join(one,join(one,converse(X0)))))),
inference(subst,[],[refute_0_2433:[bind(X_7,$fot(converse(X0)))]]) ).
cnf(refute_0_2435,plain,
converse(join(X_6,converse(join(one,join(one,join(one,one)))))) = join(converse(X_6),join(one,join(one,join(one,one)))),
inference(subst,[],[refute_0_425:[bind(X0,$fot(join(one,join(one,join(one,one)))))]]) ).
cnf(refute_0_2436,plain,
( converse(join(X_6,converse(join(one,join(one,join(one,one)))))) != join(converse(X_6),join(one,join(one,join(one,one))))
| converse(join(one,join(one,join(one,one)))) != join(one,join(one,join(one,one)))
| converse(join(X_6,join(one,join(one,join(one,one))))) = join(converse(X_6),join(one,join(one,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,converse(join(one,join(one,join(one,one)))))),join(converse(X_6),join(one,join(one,join(one,one))))) ),[0,0,1],$fot(join(one,join(one,join(one,one))))]]) ).
cnf(refute_0_2437,plain,
( converse(join(X_6,converse(join(one,join(one,join(one,one)))))) != join(converse(X_6),join(one,join(one,join(one,one))))
| converse(join(X_6,join(one,join(one,join(one,one))))) = join(converse(X_6),join(one,join(one,join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,one)))),join(one,join(one,join(one,one)))) )],[refute_0_1985,refute_0_2436]) ).
cnf(refute_0_2438,plain,
converse(join(X_6,join(one,join(one,join(one,one))))) = join(converse(X_6),join(one,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(join(one,join(one,join(one,one)))))),join(converse(X_6),join(one,join(one,join(one,one))))) )],[refute_0_2435,refute_0_2437]) ).
cnf(refute_0_2439,plain,
join(one,converse(join(one,join(one,join(X_6,one))))) = converse(join(one,join(one,join(one,join(X_6,one))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(one,join(one,join(X_6,one)))))]]) ).
cnf(refute_0_2440,plain,
join(one,converse(join(one,join(X_6,one)))) = converse(join(one,join(one,join(X_6,one)))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(one,join(X_6,one))))]]) ).
cnf(refute_0_2441,plain,
join(one,converse(join(X_6,one))) = converse(join(one,join(X_6,one))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(X_6,one)))]]) ).
cnf(refute_0_2442,plain,
join(one,join(one,converse(X_6))) = join(one,converse(join(X_6,one))),
inference(subst,[],[refute_0_2342:[bind(X0,$fot(one)),bind(X_57,$fot(X_6))]]) ).
cnf(refute_0_2443,plain,
( join(one,converse(join(X_6,one))) != converse(join(one,join(X_6,one)))
| join(one,join(one,converse(X_6))) != join(one,converse(join(X_6,one)))
| join(one,join(one,converse(X_6))) = converse(join(one,join(X_6,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(one,converse(X_6))))),bind(Y,$fot(join(one,converse(join(X_6,one))))),bind(Z,$fot(converse(join(one,join(X_6,one)))))]]) ).
cnf(refute_0_2444,plain,
( join(one,converse(join(X_6,one))) != converse(join(one,join(X_6,one)))
| join(one,join(one,converse(X_6))) = converse(join(one,join(X_6,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_6))),join(one,converse(join(X_6,one)))) )],[refute_0_2442,refute_0_2443]) ).
cnf(refute_0_2445,plain,
join(one,join(one,converse(X_6))) = converse(join(one,join(X_6,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_6,one))),converse(join(one,join(X_6,one)))) )],[refute_0_2441,refute_0_2444]) ).
cnf(refute_0_2446,plain,
join(one,join(converse(X_6),one)) = join(one,join(one,converse(X_6))),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(one)),bind(X_64,$fot(converse(X_6))),bind(X_65,$fot(one))]]) ).
cnf(refute_0_2447,plain,
( join(one,join(converse(X_6),one)) != join(one,join(one,converse(X_6)))
| join(one,join(one,converse(X_6))) != converse(join(one,join(X_6,one)))
| join(one,join(converse(X_6),one)) = converse(join(one,join(X_6,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(X_6),one)))),bind(Y,$fot(join(one,join(one,converse(X_6))))),bind(Z,$fot(converse(join(one,join(X_6,one)))))]]) ).
cnf(refute_0_2448,plain,
( join(one,join(one,converse(X_6))) != converse(join(one,join(X_6,one)))
| join(one,join(converse(X_6),one)) = converse(join(one,join(X_6,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),one)),join(one,join(one,converse(X_6)))) )],[refute_0_2446,refute_0_2447]) ).
cnf(refute_0_2449,plain,
join(one,join(converse(X_6),one)) = converse(join(one,join(X_6,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_6))),converse(join(one,join(X_6,one)))) )],[refute_0_2445,refute_0_2448]) ).
cnf(refute_0_2450,plain,
join(converse(X_6),join(one,one)) = join(one,join(converse(X_6),one)),
inference(subst,[],[refute_0_1277:[bind(X_63,$fot(one)),bind(X_64,$fot(converse(X_6))),bind(X_65,$fot(one))]]) ).
cnf(refute_0_2451,plain,
( join(converse(X_6),join(one,one)) != join(one,join(converse(X_6),one))
| join(one,join(converse(X_6),one)) != converse(join(one,join(X_6,one)))
| join(converse(X_6),join(one,one)) = converse(join(one,join(X_6,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_6),join(one,one)))),bind(Y,$fot(join(one,join(converse(X_6),one)))),bind(Z,$fot(converse(join(one,join(X_6,one)))))]]) ).
cnf(refute_0_2452,plain,
( join(one,join(converse(X_6),one)) != converse(join(one,join(X_6,one)))
| join(converse(X_6),join(one,one)) = converse(join(one,join(X_6,one))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(one,one)),join(one,join(converse(X_6),one))) )],[refute_0_2450,refute_0_2451]) ).
cnf(refute_0_2453,plain,
join(converse(X_6),join(one,one)) = converse(join(one,join(X_6,one))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),one)),converse(join(one,join(X_6,one)))) )],[refute_0_2449,refute_0_2452]) ).
cnf(refute_0_2454,plain,
join(one,join(converse(X_6),join(one,one))) = join(one,join(converse(X_6),join(one,one))),
introduced(tautology,[refl,[$fot(join(one,join(converse(X_6),join(one,one))))]]) ).
cnf(refute_0_2455,plain,
( join(converse(X_6),join(one,one)) != converse(join(one,join(X_6,one)))
| join(one,join(converse(X_6),join(one,one))) != join(one,join(converse(X_6),join(one,one)))
| join(one,join(converse(X_6),join(one,one))) = join(one,converse(join(one,join(X_6,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_6),join(one,one))),join(one,join(converse(X_6),join(one,one)))) ),[1,1],$fot(converse(join(one,join(X_6,one))))]]) ).
cnf(refute_0_2456,plain,
( join(converse(X_6),join(one,one)) != converse(join(one,join(X_6,one)))
| join(one,join(converse(X_6),join(one,one))) = join(one,converse(join(one,join(X_6,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),join(one,one))),join(one,join(converse(X_6),join(one,one)))) )],[refute_0_2454,refute_0_2455]) ).
cnf(refute_0_2457,plain,
join(one,join(converse(X_6),join(one,one))) = join(one,converse(join(one,join(X_6,one)))),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(one,one)),converse(join(one,join(X_6,one)))) )],[refute_0_2453,refute_0_2456]) ).
cnf(refute_0_2458,plain,
( join(one,converse(join(one,join(X_6,one)))) != converse(join(one,join(one,join(X_6,one))))
| join(one,join(converse(X_6),join(one,one))) != join(one,converse(join(one,join(X_6,one))))
| join(one,join(converse(X_6),join(one,one))) = converse(join(one,join(one,join(X_6,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(X_6),join(one,one))))),bind(Y,$fot(join(one,converse(join(one,join(X_6,one)))))),bind(Z,$fot(converse(join(one,join(one,join(X_6,one))))))]]) ).
cnf(refute_0_2459,plain,
( join(one,converse(join(one,join(X_6,one)))) != converse(join(one,join(one,join(X_6,one))))
| join(one,join(converse(X_6),join(one,one))) = converse(join(one,join(one,join(X_6,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),join(one,one))),join(one,converse(join(one,join(X_6,one))))) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
join(one,join(converse(X_6),join(one,one))) = converse(join(one,join(one,join(X_6,one)))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,join(X_6,one)))),converse(join(one,join(one,join(X_6,one))))) )],[refute_0_2440,refute_0_2459]) ).
cnf(refute_0_2461,plain,
join(converse(X_6),join(one,join(one,one))) = join(one,join(converse(X_6),join(one,one))),
inference(subst,[],[refute_0_1277:[bind(X_63,$fot(one)),bind(X_64,$fot(converse(X_6))),bind(X_65,$fot(join(one,one)))]]) ).
cnf(refute_0_2462,plain,
( join(converse(X_6),join(one,join(one,one))) != join(one,join(converse(X_6),join(one,one)))
| join(one,join(converse(X_6),join(one,one))) != converse(join(one,join(one,join(X_6,one))))
| join(converse(X_6),join(one,join(one,one))) = converse(join(one,join(one,join(X_6,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_6),join(one,join(one,one))))),bind(Y,$fot(join(one,join(converse(X_6),join(one,one))))),bind(Z,$fot(converse(join(one,join(one,join(X_6,one))))))]]) ).
cnf(refute_0_2463,plain,
( join(one,join(converse(X_6),join(one,one))) != converse(join(one,join(one,join(X_6,one))))
| join(converse(X_6),join(one,join(one,one))) = converse(join(one,join(one,join(X_6,one)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(one,join(one,one))),join(one,join(converse(X_6),join(one,one)))) )],[refute_0_2461,refute_0_2462]) ).
cnf(refute_0_2464,plain,
join(converse(X_6),join(one,join(one,one))) = converse(join(one,join(one,join(X_6,one)))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),join(one,one))),converse(join(one,join(one,join(X_6,one))))) )],[refute_0_2460,refute_0_2463]) ).
cnf(refute_0_2465,plain,
join(one,join(converse(X_6),join(one,join(one,one)))) = join(one,join(converse(X_6),join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(join(one,join(converse(X_6),join(one,join(one,one)))))]]) ).
cnf(refute_0_2466,plain,
( join(converse(X_6),join(one,join(one,one))) != converse(join(one,join(one,join(X_6,one))))
| join(one,join(converse(X_6),join(one,join(one,one)))) != join(one,join(converse(X_6),join(one,join(one,one))))
| join(one,join(converse(X_6),join(one,join(one,one)))) = join(one,converse(join(one,join(one,join(X_6,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(X_6),join(one,join(one,one)))),join(one,join(converse(X_6),join(one,join(one,one))))) ),[1,1],$fot(converse(join(one,join(one,join(X_6,one)))))]]) ).
cnf(refute_0_2467,plain,
( join(converse(X_6),join(one,join(one,one))) != converse(join(one,join(one,join(X_6,one))))
| join(one,join(converse(X_6),join(one,join(one,one)))) = join(one,converse(join(one,join(one,join(X_6,one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),join(one,join(one,one)))),join(one,join(converse(X_6),join(one,join(one,one))))) )],[refute_0_2465,refute_0_2466]) ).
cnf(refute_0_2468,plain,
join(one,join(converse(X_6),join(one,join(one,one)))) = join(one,converse(join(one,join(one,join(X_6,one))))),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(one,join(one,one))),converse(join(one,join(one,join(X_6,one))))) )],[refute_0_2464,refute_0_2467]) ).
cnf(refute_0_2469,plain,
( join(one,converse(join(one,join(one,join(X_6,one))))) != converse(join(one,join(one,join(one,join(X_6,one)))))
| join(one,join(converse(X_6),join(one,join(one,one)))) != join(one,converse(join(one,join(one,join(X_6,one)))))
| join(one,join(converse(X_6),join(one,join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(X_6),join(one,join(one,one)))))),bind(Y,$fot(join(one,converse(join(one,join(one,join(X_6,one))))))),bind(Z,$fot(converse(join(one,join(one,join(one,join(X_6,one)))))))]]) ).
cnf(refute_0_2470,plain,
( join(one,converse(join(one,join(one,join(X_6,one))))) != converse(join(one,join(one,join(one,join(X_6,one)))))
| join(one,join(converse(X_6),join(one,join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),join(one,join(one,one)))),join(one,converse(join(one,join(one,join(X_6,one)))))) )],[refute_0_2468,refute_0_2469]) ).
cnf(refute_0_2471,plain,
join(one,join(converse(X_6),join(one,join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))),
inference(resolve,[$cnf( $equal(join(one,converse(join(one,join(one,join(X_6,one))))),converse(join(one,join(one,join(one,join(X_6,one)))))) )],[refute_0_2439,refute_0_2470]) ).
cnf(refute_0_2472,plain,
( join(one,join(X0,join(one,join(one,one)))) != join(X0,join(one,join(one,join(one,one))))
| join(X0,join(one,join(one,join(one,one)))) = join(one,join(X0,join(one,join(one,one)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(X0,join(one,join(one,one)))))),bind(Y,$fot(join(X0,join(one,join(one,join(one,one))))))]]) ).
cnf(refute_0_2473,plain,
join(X0,join(one,join(one,join(one,one)))) = join(one,join(X0,join(one,join(one,one)))),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,join(one,one)))),join(X0,join(one,join(one,join(one,one))))) )],[refute_0_2035,refute_0_2472]) ).
cnf(refute_0_2474,plain,
join(converse(X_6),join(one,join(one,join(one,one)))) = join(one,join(converse(X_6),join(one,join(one,one)))),
inference(subst,[],[refute_0_2473:[bind(X0,$fot(converse(X_6)))]]) ).
cnf(refute_0_2475,plain,
( join(converse(X_6),join(one,join(one,join(one,one)))) != join(one,join(converse(X_6),join(one,join(one,one))))
| join(one,join(converse(X_6),join(one,join(one,one)))) != converse(join(one,join(one,join(one,join(X_6,one)))))
| join(converse(X_6),join(one,join(one,join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_6),join(one,join(one,join(one,one)))))),bind(Y,$fot(join(one,join(converse(X_6),join(one,join(one,one)))))),bind(Z,$fot(converse(join(one,join(one,join(one,join(X_6,one)))))))]]) ).
cnf(refute_0_2476,plain,
( join(one,join(converse(X_6),join(one,join(one,one)))) != converse(join(one,join(one,join(one,join(X_6,one)))))
| join(converse(X_6),join(one,join(one,join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(one,join(one,join(one,one)))),join(one,join(converse(X_6),join(one,join(one,one))))) )],[refute_0_2474,refute_0_2475]) ).
cnf(refute_0_2477,plain,
join(converse(X_6),join(one,join(one,join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X_6),join(one,join(one,one)))),converse(join(one,join(one,join(one,join(X_6,one)))))) )],[refute_0_2471,refute_0_2476]) ).
cnf(refute_0_2478,plain,
( converse(join(X_6,join(one,join(one,join(one,one))))) != join(converse(X_6),join(one,join(one,join(one,one))))
| join(converse(X_6),join(one,join(one,join(one,one)))) != converse(join(one,join(one,join(one,join(X_6,one)))))
| converse(join(X_6,join(one,join(one,join(one,one))))) = converse(join(one,join(one,join(one,join(X_6,one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_6,join(one,join(one,join(one,one))))),converse(join(one,join(one,join(one,join(X_6,one)))))) ),[0],$fot(join(converse(X_6),join(one,join(one,join(one,one)))))]]) ).
cnf(refute_0_2479,plain,
( converse(join(X_6,join(one,join(one,join(one,one))))) != join(converse(X_6),join(one,join(one,join(one,one))))
| converse(join(X_6,join(one,join(one,join(one,one))))) = converse(join(one,join(one,join(one,join(X_6,one))))) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),join(one,join(one,join(one,one)))),converse(join(one,join(one,join(one,join(X_6,one)))))) )],[refute_0_2477,refute_0_2478]) ).
cnf(refute_0_2480,plain,
converse(join(X_6,join(one,join(one,join(one,one))))) = converse(join(one,join(one,join(one,join(X_6,one))))),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(one,join(one,join(one,one))))),join(converse(X_6),join(one,join(one,join(one,one))))) )],[refute_0_2438,refute_0_2479]) ).
cnf(refute_0_2481,plain,
join(X_6,join(one,join(one,join(one,one)))) = join(X_6,join(one,join(one,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X_6,join(one,join(one,join(one,one)))))]]) ).
cnf(refute_0_2482,plain,
( join(X_6,join(one,join(one,join(one,one)))) != join(X_6,join(one,join(one,join(one,one))))
| join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| join(X_6,join(one,join(one,join(one,one)))) = join(X_6,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(one,join(one,join(one,one)))),join(X_6,join(one,join(one,join(one,one))))) ),[1,1],$fot(composition(join(one,one),join(one,one)))]]) ).
cnf(refute_0_2483,plain,
( join(one,join(one,join(one,one))) != composition(join(one,one),join(one,one))
| join(X_6,join(one,join(one,join(one,one)))) = join(X_6,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X_6,join(one,join(one,join(one,one)))),join(X_6,join(one,join(one,join(one,one))))) )],[refute_0_2481,refute_0_2482]) ).
cnf(refute_0_2484,plain,
join(X_6,join(one,join(one,join(one,one)))) = join(X_6,composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,one))),composition(join(one,one),join(one,one))) )],[refute_0_2043,refute_0_2483]) ).
cnf(refute_0_2485,plain,
converse(join(X_6,join(one,join(one,join(one,one))))) = converse(join(X_6,join(one,join(one,join(one,one))))),
introduced(tautology,[refl,[$fot(converse(join(X_6,join(one,join(one,join(one,one))))))]]) ).
cnf(refute_0_2486,plain,
( converse(join(X_6,join(one,join(one,join(one,one))))) != converse(join(X_6,join(one,join(one,join(one,one)))))
| join(X_6,join(one,join(one,join(one,one)))) != join(X_6,composition(join(one,one),join(one,one)))
| converse(join(X_6,join(one,join(one,join(one,one))))) = converse(join(X_6,composition(join(one,one),join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,join(one,join(one,join(one,one))))),converse(join(X_6,join(one,join(one,join(one,one)))))) ),[1,0],$fot(join(X_6,composition(join(one,one),join(one,one))))]]) ).
cnf(refute_0_2487,plain,
( join(X_6,join(one,join(one,join(one,one)))) != join(X_6,composition(join(one,one),join(one,one)))
| converse(join(X_6,join(one,join(one,join(one,one))))) = converse(join(X_6,composition(join(one,one),join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(one,join(one,join(one,one))))),converse(join(X_6,join(one,join(one,join(one,one)))))) )],[refute_0_2485,refute_0_2486]) ).
cnf(refute_0_2488,plain,
converse(join(X_6,join(one,join(one,join(one,one))))) = converse(join(X_6,composition(join(one,one),join(one,one)))),
inference(resolve,[$cnf( $equal(join(X_6,join(one,join(one,join(one,one)))),join(X_6,composition(join(one,one),join(one,one)))) )],[refute_0_2484,refute_0_2487]) ).
cnf(refute_0_2489,plain,
( converse(join(X_6,join(one,join(one,join(one,one))))) != converse(join(X_6,composition(join(one,one),join(one,one))))
| converse(join(X_6,join(one,join(one,join(one,one))))) != converse(join(one,join(one,join(one,join(X_6,one)))))
| converse(join(X_6,composition(join(one,one),join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,join(one,join(one,join(one,one))))),converse(join(one,join(one,join(one,join(X_6,one)))))) ),[0],$fot(converse(join(X_6,composition(join(one,one),join(one,one)))))]]) ).
cnf(refute_0_2490,plain,
( converse(join(X_6,join(one,join(one,join(one,one))))) != converse(join(one,join(one,join(one,join(X_6,one)))))
| converse(join(X_6,composition(join(one,one),join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(one,join(one,join(one,one))))),converse(join(X_6,composition(join(one,one),join(one,one))))) )],[refute_0_2488,refute_0_2489]) ).
cnf(refute_0_2491,plain,
converse(join(X_6,composition(join(one,one),join(one,one)))) = converse(join(one,join(one,join(one,join(X_6,one))))),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(one,join(one,join(one,one))))),converse(join(one,join(one,join(one,join(X_6,one)))))) )],[refute_0_2480,refute_0_2490]) ).
cnf(refute_0_2492,plain,
converse(join(converse(X0),composition(join(one,one),join(one,one)))) = converse(join(one,join(one,join(one,join(converse(X0),one))))),
inference(subst,[],[refute_0_2491:[bind(X_6,$fot(converse(X0)))]]) ).
cnf(refute_0_2493,plain,
( converse(join(converse(X0),composition(join(one,one),join(one,one)))) != converse(join(one,join(one,join(one,join(converse(X0),one)))))
| converse(join(one,join(one,join(one,join(converse(X0),one))))) != converse(join(one,join(one,join(one,join(one,converse(X0))))))
| converse(join(converse(X0),composition(join(one,one),join(one,one)))) = converse(join(one,join(one,join(one,join(one,converse(X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),composition(join(one,one),join(one,one)))))),bind(Y,$fot(converse(join(one,join(one,join(one,join(converse(X0),one))))))),bind(Z,$fot(converse(join(one,join(one,join(one,join(one,converse(X0))))))))]]) ).
cnf(refute_0_2494,plain,
( converse(join(one,join(one,join(one,join(converse(X0),one))))) != converse(join(one,join(one,join(one,join(one,converse(X0))))))
| converse(join(converse(X0),composition(join(one,one),join(one,one)))) = converse(join(one,join(one,join(one,join(one,converse(X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(join(one,one),join(one,one)))),converse(join(one,join(one,join(one,join(converse(X0),one)))))) )],[refute_0_2492,refute_0_2493]) ).
cnf(refute_0_2495,plain,
converse(join(converse(X0),composition(join(one,one),join(one,one)))) = converse(join(one,join(one,join(one,join(one,converse(X0)))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,join(converse(X0),one))))),converse(join(one,join(one,join(one,join(one,converse(X0))))))) )],[refute_0_2434,refute_0_2494]) ).
cnf(refute_0_2496,plain,
( converse(join(converse(X0),composition(join(one,one),join(one,one)))) != converse(join(one,join(one,join(one,join(one,converse(X0))))))
| converse(join(one,join(one,join(one,join(one,converse(X0)))))) != join(one,join(one,join(one,join(X0,one))))
| converse(join(converse(X0),composition(join(one,one),join(one,one)))) = join(one,join(one,join(one,join(X0,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),composition(join(one,one),join(one,one)))))),bind(Y,$fot(converse(join(one,join(one,join(one,join(one,converse(X0)))))))),bind(Z,$fot(join(one,join(one,join(one,join(X0,one))))))]]) ).
cnf(refute_0_2497,plain,
( converse(join(one,join(one,join(one,join(one,converse(X0)))))) != join(one,join(one,join(one,join(X0,one))))
| converse(join(converse(X0),composition(join(one,one),join(one,one)))) = join(one,join(one,join(one,join(X0,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(join(one,one),join(one,one)))),converse(join(one,join(one,join(one,join(one,converse(X0))))))) )],[refute_0_2495,refute_0_2496]) ).
cnf(refute_0_2498,plain,
converse(join(converse(X0),composition(join(one,one),join(one,one)))) = join(one,join(one,join(one,join(X0,one)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,join(one,join(one,converse(X0)))))),join(one,join(one,join(one,join(X0,one))))) )],[refute_0_2367,refute_0_2497]) ).
cnf(refute_0_2499,plain,
( converse(join(converse(X0),composition(join(one,one),join(one,one)))) != join(X0,composition(join(one,one),join(one,one)))
| converse(join(converse(X0),composition(join(one,one),join(one,one)))) != join(one,join(one,join(one,join(X0,one))))
| join(one,join(one,join(one,join(X0,one)))) = join(X0,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(join(one,one),join(one,one)))),join(X0,composition(join(one,one),join(one,one)))) ),[0],$fot(join(one,join(one,join(one,join(X0,one)))))]]) ).
cnf(refute_0_2500,plain,
( converse(join(converse(X0),composition(join(one,one),join(one,one)))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(one,join(one,join(X0,one)))) = join(X0,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(join(one,one),join(one,one)))),join(one,join(one,join(one,join(X0,one))))) )],[refute_0_2498,refute_0_2499]) ).
cnf(refute_0_2501,plain,
join(one,join(one,join(one,join(X0,one)))) = join(X0,composition(join(one,one),join(one,one))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(join(one,one),join(one,one)))),join(X0,composition(join(one,one),join(one,one)))) )],[refute_0_2324,refute_0_2500]) ).
cnf(refute_0_2502,plain,
join(one,join(one,join(X0,one))) = join(one,join(X0,one)),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(one)),bind(X_139,$fot(join(X0,one)))]]) ).
cnf(refute_0_2503,plain,
join(one,join(one,join(one,join(X0,one)))) = join(one,join(one,join(X0,one))),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(one)),bind(X_139,$fot(join(one,join(X0,one))))]]) ).
cnf(refute_0_2504,plain,
( join(one,join(one,join(X0,one))) != join(one,join(X0,one))
| join(one,join(one,join(one,join(X0,one)))) != join(one,join(one,join(X0,one)))
| join(one,join(one,join(one,join(X0,one)))) = join(one,join(X0,one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(one,join(one,join(X0,one)))))),bind(Y,$fot(join(one,join(one,join(X0,one))))),bind(Z,$fot(join(one,join(X0,one))))]]) ).
cnf(refute_0_2505,plain,
( join(one,join(one,join(X0,one))) != join(one,join(X0,one))
| join(one,join(one,join(one,join(X0,one)))) = join(one,join(X0,one)) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,join(X0,one)))),join(one,join(one,join(X0,one)))) )],[refute_0_2503,refute_0_2504]) ).
cnf(refute_0_2506,plain,
join(one,join(one,join(one,join(X0,one)))) = join(one,join(X0,one)),
inference(resolve,[$cnf( $equal(join(one,join(one,join(X0,one))),join(one,join(X0,one))) )],[refute_0_2502,refute_0_2505]) ).
cnf(refute_0_2507,plain,
( join(one,join(one,join(one,join(X0,one)))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(one,join(one,join(X0,one)))) != join(one,join(X0,one))
| join(one,join(X0,one)) = join(X0,composition(join(one,one),join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,join(one,join(X0,one)))),join(X0,composition(join(one,one),join(one,one)))) ),[0],$fot(join(one,join(X0,one)))]]) ).
cnf(refute_0_2508,plain,
( join(one,join(one,join(one,join(X0,one)))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,one)) = join(X0,composition(join(one,one),join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,join(X0,one)))),join(one,join(X0,one))) )],[refute_0_2506,refute_0_2507]) ).
cnf(refute_0_2509,plain,
( join(one,join(X0,join(one,one))) != composition(join(one,one),join(X0,join(one,one)))
| composition(join(one,one),join(X0,join(one,one))) = join(one,join(X0,join(one,one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(X0,join(one,one))))),bind(Y,$fot(composition(join(one,one),join(X0,join(one,one)))))]]) ).
cnf(refute_0_2510,plain,
composition(join(one,one),join(X0,join(one,one))) = join(one,join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,one))),composition(join(one,one),join(X0,join(one,one)))) )],[refute_0_2310,refute_0_2509]) ).
cnf(refute_0_2511,plain,
( composition(join(X0,join(one,one)),join(one,one)) != composition(join(one,one),join(X0,join(one,one)))
| composition(join(one,one),join(X0,join(one,one))) != join(one,join(X0,join(one,one)))
| composition(join(X0,join(one,one)),join(one,one)) = join(one,join(X0,join(one,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(X0,join(one,one)),join(one,one)))),bind(Y,$fot(composition(join(one,one),join(X0,join(one,one))))),bind(Z,$fot(join(one,join(X0,join(one,one)))))]]) ).
cnf(refute_0_2512,plain,
( composition(join(one,one),join(X0,join(one,one))) != join(one,join(X0,join(one,one)))
| composition(join(X0,join(one,one)),join(one,one)) = join(one,join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,one)),join(one,one)),composition(join(one,one),join(X0,join(one,one)))) )],[refute_0_2277,refute_0_2511]) ).
cnf(refute_0_2513,plain,
composition(join(X0,join(one,one)),join(one,one)) = join(one,join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X0,join(one,one))),join(one,join(X0,join(one,one)))) )],[refute_0_2510,refute_0_2512]) ).
cnf(refute_0_2514,plain,
( composition(join(X0,join(one,one)),join(one,one)) != join(one,join(X0,join(one,one)))
| join(X0,composition(join(one,one),join(one,one))) != composition(join(X0,join(one,one)),join(one,one))
| join(X0,composition(join(one,one),join(one,one))) = join(one,join(X0,join(one,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X0,composition(join(one,one),join(one,one))))),bind(Y,$fot(composition(join(X0,join(one,one)),join(one,one)))),bind(Z,$fot(join(one,join(X0,join(one,one)))))]]) ).
cnf(refute_0_2515,plain,
( composition(join(X0,join(one,one)),join(one,one)) != join(one,join(X0,join(one,one)))
| join(X0,composition(join(one,one),join(one,one))) = join(one,join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X0,composition(join(one,one),join(one,one))),composition(join(X0,join(one,one)),join(one,one))) )],[refute_0_2304,refute_0_2514]) ).
cnf(refute_0_2516,plain,
join(X0,composition(join(one,one),join(one,one))) = join(one,join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(X0,join(one,one)),join(one,one)),join(one,join(X0,join(one,one)))) )],[refute_0_2513,refute_0_2515]) ).
cnf(refute_0_2517,plain,
( join(X0,composition(join(one,one),join(one,one))) != join(one,join(X0,join(one,one)))
| join(one,join(X0,one)) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,one)) = join(one,join(X0,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,one)),join(X0,composition(join(one,one),join(one,one)))) ),[1],$fot(join(one,join(X0,join(one,one))))]]) ).
cnf(refute_0_2518,plain,
( join(one,join(X0,one)) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,one)) = join(one,join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(X0,composition(join(one,one),join(one,one))),join(one,join(X0,join(one,one)))) )],[refute_0_2516,refute_0_2517]) ).
cnf(refute_0_2519,plain,
( join(one,join(one,join(one,join(X0,one)))) != join(X0,composition(join(one,one),join(one,one)))
| join(one,join(X0,one)) = join(one,join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(X0,one)),join(X0,composition(join(one,one),join(one,one)))) )],[refute_0_2508,refute_0_2518]) ).
cnf(refute_0_2520,plain,
join(one,join(X0,one)) = join(one,join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,join(one,join(X0,one)))),join(X0,composition(join(one,one),join(one,one)))) )],[refute_0_2501,refute_0_2519]) ).
cnf(refute_0_2521,plain,
( join(one,join(X0,one)) != join(one,join(X0,join(one,one)))
| join(one,join(X0,join(one,one))) = join(one,join(X0,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,join(X0,one)))),bind(Y,$fot(join(one,join(X0,join(one,one)))))]]) ).
cnf(refute_0_2522,plain,
join(one,join(X0,join(one,one))) = join(one,join(X0,one)),
inference(resolve,[$cnf( $equal(join(one,join(X0,one)),join(one,join(X0,join(one,one)))) )],[refute_0_2520,refute_0_2521]) ).
cnf(refute_0_2523,plain,
( join(one,join(X0,join(one,one))) != composition(join(one,one),join(X0,join(one,one)))
| join(one,join(X0,join(one,one))) != join(one,join(X0,one))
| join(one,join(X0,one)) = composition(join(one,one),join(X0,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,join(one,one))),composition(join(one,one),join(X0,join(one,one)))) ),[0],$fot(join(one,join(X0,one)))]]) ).
cnf(refute_0_2524,plain,
( join(one,join(X0,join(one,one))) != composition(join(one,one),join(X0,join(one,one)))
| join(one,join(X0,one)) = composition(join(one,one),join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,one))),join(one,join(X0,one))) )],[refute_0_2522,refute_0_2523]) ).
cnf(refute_0_2525,plain,
join(one,join(X0,one)) = composition(join(one,one),join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(join(one,join(X0,join(one,one))),composition(join(one,one),join(X0,join(one,one)))) )],[refute_0_2310,refute_0_2524]) ).
cnf(refute_0_2526,plain,
composition(one,join(X0,one)) = join(X0,one),
inference(subst,[],[refute_0_96:[bind(X_15,$fot(join(X0,one)))]]) ).
cnf(refute_0_2527,plain,
join(X0,join(one,one)) = join(X0,join(one,one)),
introduced(tautology,[refl,[$fot(join(X0,join(one,one)))]]) ).
cnf(refute_0_2528,plain,
( join(X0,join(one,one)) != join(X0,join(one,one))
| join(one,one) != one
| join(X0,join(one,one)) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,one)),join(X0,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_2529,plain,
( join(one,one) != one
| join(X0,join(one,one)) = join(X0,one) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(X0,join(one,one))) )],[refute_0_2527,refute_0_2528]) ).
cnf(refute_0_2530,plain,
join(X0,join(one,one)) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1845,refute_0_2529]) ).
cnf(refute_0_2531,plain,
composition(one,join(X0,join(one,one))) = composition(one,join(X0,join(one,one))),
introduced(tautology,[refl,[$fot(composition(one,join(X0,join(one,one))))]]) ).
cnf(refute_0_2532,plain,
( composition(one,join(X0,join(one,one))) != composition(one,join(X0,join(one,one)))
| join(X0,join(one,one)) != join(X0,one)
| composition(one,join(X0,join(one,one))) = composition(one,join(X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,join(X0,join(one,one))),composition(one,join(X0,join(one,one)))) ),[1,1],$fot(join(X0,one))]]) ).
cnf(refute_0_2533,plain,
( join(X0,join(one,one)) != join(X0,one)
| composition(one,join(X0,join(one,one))) = composition(one,join(X0,one)) ),
inference(resolve,[$cnf( $equal(composition(one,join(X0,join(one,one))),composition(one,join(X0,join(one,one)))) )],[refute_0_2531,refute_0_2532]) ).
cnf(refute_0_2534,plain,
composition(one,join(X0,join(one,one))) = composition(one,join(X0,one)),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(X0,one)) )],[refute_0_2530,refute_0_2533]) ).
cnf(refute_0_2535,plain,
composition(join(one,one),join(X0,join(one,one))) = composition(join(one,one),join(X0,join(one,one))),
introduced(tautology,[refl,[$fot(composition(join(one,one),join(X0,join(one,one))))]]) ).
cnf(refute_0_2536,plain,
( composition(join(one,one),join(X0,join(one,one))) != composition(join(one,one),join(X0,join(one,one)))
| join(one,one) != one
| composition(join(one,one),join(X0,join(one,one))) = composition(one,join(X0,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),join(X0,join(one,one))),composition(join(one,one),join(X0,join(one,one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2537,plain,
( join(one,one) != one
| composition(join(one,one),join(X0,join(one,one))) = composition(one,join(X0,join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X0,join(one,one))),composition(join(one,one),join(X0,join(one,one)))) )],[refute_0_2535,refute_0_2536]) ).
cnf(refute_0_2538,plain,
composition(join(one,one),join(X0,join(one,one))) = composition(one,join(X0,join(one,one))),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1845,refute_0_2537]) ).
cnf(refute_0_2539,plain,
( composition(join(one,one),join(X0,join(one,one))) != composition(one,join(X0,join(one,one)))
| composition(one,join(X0,join(one,one))) != composition(one,join(X0,one))
| composition(join(one,one),join(X0,join(one,one))) = composition(one,join(X0,one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,one),join(X0,join(one,one))))),bind(Y,$fot(composition(one,join(X0,join(one,one))))),bind(Z,$fot(composition(one,join(X0,one))))]]) ).
cnf(refute_0_2540,plain,
( composition(one,join(X0,join(one,one))) != composition(one,join(X0,one))
| composition(join(one,one),join(X0,join(one,one))) = composition(one,join(X0,one)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X0,join(one,one))),composition(one,join(X0,join(one,one)))) )],[refute_0_2538,refute_0_2539]) ).
cnf(refute_0_2541,plain,
composition(join(one,one),join(X0,join(one,one))) = composition(one,join(X0,one)),
inference(resolve,[$cnf( $equal(composition(one,join(X0,join(one,one))),composition(one,join(X0,one))) )],[refute_0_2534,refute_0_2540]) ).
cnf(refute_0_2542,plain,
( composition(join(one,one),join(X0,join(one,one))) != composition(one,join(X0,one))
| composition(one,join(X0,one)) != join(X0,one)
| composition(join(one,one),join(X0,join(one,one))) = join(X0,one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,one),join(X0,join(one,one))))),bind(Y,$fot(composition(one,join(X0,one)))),bind(Z,$fot(join(X0,one)))]]) ).
cnf(refute_0_2543,plain,
( composition(one,join(X0,one)) != join(X0,one)
| composition(join(one,one),join(X0,join(one,one))) = join(X0,one) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X0,join(one,one))),composition(one,join(X0,one))) )],[refute_0_2541,refute_0_2542]) ).
cnf(refute_0_2544,plain,
composition(join(one,one),join(X0,join(one,one))) = join(X0,one),
inference(resolve,[$cnf( $equal(composition(one,join(X0,one)),join(X0,one)) )],[refute_0_2526,refute_0_2543]) ).
cnf(refute_0_2545,plain,
( composition(join(one,one),join(X0,join(one,one))) != join(X0,one)
| join(one,join(X0,one)) != composition(join(one,one),join(X0,join(one,one)))
| join(one,join(X0,one)) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X0,one)),composition(join(one,one),join(X0,join(one,one)))) ),[1],$fot(join(X0,one))]]) ).
cnf(refute_0_2546,plain,
( join(one,join(X0,one)) != composition(join(one,one),join(X0,join(one,one)))
| join(one,join(X0,one)) = join(X0,one) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),join(X0,join(one,one))),join(X0,one)) )],[refute_0_2544,refute_0_2545]) ).
cnf(refute_0_2547,plain,
join(one,join(X0,one)) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,join(X0,one)),composition(join(one,one),join(X0,join(one,one)))) )],[refute_0_2525,refute_0_2546]) ).
cnf(refute_0_2548,plain,
join(one,join(X_298,one)) = join(X_298,one),
inference(subst,[],[refute_0_2547:[bind(X0,$fot(X_298))]]) ).
cnf(refute_0_2549,plain,
converse(join(one,join(X_298,one))) = converse(join(one,join(X_298,one))),
introduced(tautology,[refl,[$fot(converse(join(one,join(X_298,one))))]]) ).
cnf(refute_0_2550,plain,
( converse(join(one,join(X_298,one))) != converse(join(one,join(X_298,one)))
| join(one,join(X_298,one)) != join(X_298,one)
| converse(join(one,join(X_298,one))) = converse(join(X_298,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_298,one))),converse(join(one,join(X_298,one)))) ),[1,0],$fot(join(X_298,one))]]) ).
cnf(refute_0_2551,plain,
( join(one,join(X_298,one)) != join(X_298,one)
| converse(join(one,join(X_298,one))) = converse(join(X_298,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_298,one))),converse(join(one,join(X_298,one)))) )],[refute_0_2549,refute_0_2550]) ).
cnf(refute_0_2552,plain,
converse(join(one,join(X_298,one))) = converse(join(X_298,one)),
inference(resolve,[$cnf( $equal(join(one,join(X_298,one)),join(X_298,one)) )],[refute_0_2548,refute_0_2551]) ).
cnf(refute_0_2553,plain,
complement(converse(join(one,join(X_298,one)))) = complement(converse(join(one,join(X_298,one)))),
introduced(tautology,[refl,[$fot(complement(converse(join(one,join(X_298,one)))))]]) ).
cnf(refute_0_2554,plain,
( complement(converse(join(one,join(X_298,one)))) != complement(converse(join(one,join(X_298,one))))
| converse(join(one,join(X_298,one))) != converse(join(X_298,one))
| complement(converse(join(one,join(X_298,one)))) = complement(converse(join(X_298,one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,join(X_298,one)))),complement(converse(join(one,join(X_298,one))))) ),[1,0],$fot(converse(join(X_298,one)))]]) ).
cnf(refute_0_2555,plain,
( converse(join(one,join(X_298,one))) != converse(join(X_298,one))
| complement(converse(join(one,join(X_298,one)))) = complement(converse(join(X_298,one))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,join(X_298,one)))),complement(converse(join(one,join(X_298,one))))) )],[refute_0_2553,refute_0_2554]) ).
cnf(refute_0_2556,plain,
complement(converse(join(one,join(X_298,one)))) = complement(converse(join(X_298,one))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_298,one))),converse(join(X_298,one))) )],[refute_0_2552,refute_0_2555]) ).
cnf(refute_0_2557,plain,
join(one,complement(converse(join(one,join(X_298,one))))) = join(one,complement(converse(join(one,join(X_298,one))))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(join(one,join(X_298,one))))))]]) ).
cnf(refute_0_2558,plain,
( complement(converse(join(one,join(X_298,one)))) != complement(converse(join(X_298,one)))
| join(one,complement(converse(join(one,join(X_298,one))))) != join(one,complement(converse(join(one,join(X_298,one)))))
| join(one,complement(converse(join(one,join(X_298,one))))) = join(one,complement(converse(join(X_298,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(join(one,join(X_298,one))))),join(one,complement(converse(join(one,join(X_298,one)))))) ),[1,1],$fot(complement(converse(join(X_298,one))))]]) ).
cnf(refute_0_2559,plain,
( complement(converse(join(one,join(X_298,one)))) != complement(converse(join(X_298,one)))
| join(one,complement(converse(join(one,join(X_298,one))))) = join(one,complement(converse(join(X_298,one)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,join(X_298,one))))),join(one,complement(converse(join(one,join(X_298,one)))))) )],[refute_0_2557,refute_0_2558]) ).
cnf(refute_0_2560,plain,
join(one,complement(converse(join(one,join(X_298,one))))) = join(one,complement(converse(join(X_298,one)))),
inference(resolve,[$cnf( $equal(complement(converse(join(one,join(X_298,one)))),complement(converse(join(X_298,one)))) )],[refute_0_2556,refute_0_2559]) ).
cnf(refute_0_2561,plain,
converse(join(one,complement(converse(join(one,join(X_298,one)))))) = converse(join(one,complement(converse(join(one,join(X_298,one)))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(join(one,join(X_298,one)))))))]]) ).
cnf(refute_0_2562,plain,
( converse(join(one,complement(converse(join(one,join(X_298,one)))))) != converse(join(one,complement(converse(join(one,join(X_298,one))))))
| join(one,complement(converse(join(one,join(X_298,one))))) != join(one,complement(converse(join(X_298,one))))
| converse(join(one,complement(converse(join(one,join(X_298,one)))))) = converse(join(one,complement(converse(join(X_298,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(join(one,join(X_298,one)))))),converse(join(one,complement(converse(join(one,join(X_298,one))))))) ),[1,0],$fot(join(one,complement(converse(join(X_298,one)))))]]) ).
cnf(refute_0_2563,plain,
( join(one,complement(converse(join(one,join(X_298,one))))) != join(one,complement(converse(join(X_298,one))))
| converse(join(one,complement(converse(join(one,join(X_298,one)))))) = converse(join(one,complement(converse(join(X_298,one))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,join(X_298,one)))))),converse(join(one,complement(converse(join(one,join(X_298,one))))))) )],[refute_0_2561,refute_0_2562]) ).
cnf(refute_0_2564,plain,
converse(join(one,complement(converse(join(one,join(X_298,one)))))) = converse(join(one,complement(converse(join(X_298,one))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(one,join(X_298,one))))),join(one,complement(converse(join(X_298,one))))) )],[refute_0_2560,refute_0_2563]) ).
cnf(refute_0_2565,plain,
join(one,converse(complement(converse(join(one,join(X_298,one)))))) = converse(join(one,complement(converse(join(one,join(X_298,one)))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(complement(converse(join(one,join(X_298,one))))))]]) ).
cnf(refute_0_2566,plain,
( converse(join(one,complement(converse(join(one,join(X_298,one)))))) != converse(join(one,complement(converse(join(X_298,one)))))
| join(one,converse(complement(converse(join(one,join(X_298,one)))))) != converse(join(one,complement(converse(join(one,join(X_298,one))))))
| join(one,converse(complement(converse(join(one,join(X_298,one)))))) = converse(join(one,complement(converse(join(X_298,one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(complement(converse(join(one,join(X_298,one)))))))),bind(Y,$fot(converse(join(one,complement(converse(join(one,join(X_298,one)))))))),bind(Z,$fot(converse(join(one,complement(converse(join(X_298,one)))))))]]) ).
cnf(refute_0_2567,plain,
( converse(join(one,complement(converse(join(one,join(X_298,one)))))) != converse(join(one,complement(converse(join(X_298,one)))))
| join(one,converse(complement(converse(join(one,join(X_298,one)))))) = converse(join(one,complement(converse(join(X_298,one))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(one,join(X_298,one)))))),converse(join(one,complement(converse(join(one,join(X_298,one))))))) )],[refute_0_2565,refute_0_2566]) ).
cnf(refute_0_2568,plain,
join(one,converse(complement(converse(join(one,join(X_298,one)))))) = converse(join(one,complement(converse(join(X_298,one))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(one,join(X_298,one)))))),converse(join(one,complement(converse(join(X_298,one)))))) )],[refute_0_2564,refute_0_2567]) ).
cnf(refute_0_2569,plain,
join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))) = join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))),
introduced(tautology,[refl,[$fot(join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))]]) ).
cnf(refute_0_2570,plain,
( join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))) != join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))
| join(one,converse(complement(converse(join(one,join(X_298,one)))))) != converse(join(one,complement(converse(join(X_298,one)))))
| join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))),join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(X_298,one))))))]]) ).
cnf(refute_0_2571,plain,
( join(one,converse(complement(converse(join(one,join(X_298,one)))))) != converse(join(one,complement(converse(join(X_298,one)))))
| join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
inference(resolve,[$cnf( $equal(join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))),join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) )],[refute_0_2569,refute_0_2570]) ).
cnf(refute_0_2572,plain,
join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(join(one,join(X_298,one)))))),converse(join(one,complement(converse(join(X_298,one)))))) )],[refute_0_2568,refute_0_2571]) ).
cnf(refute_0_2573,plain,
join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),
introduced(tautology,[refl,[$fot(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))))]]) ).
cnf(refute_0_2574,plain,
( join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) != join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))
| join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))) ),[1,1],$fot(join(X_298,converse(join(one,complement(converse(join(X_298,one)))))))]]) ).
cnf(refute_0_2575,plain,
( join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))) )],[refute_0_2573,refute_0_2574]) ).
cnf(refute_0_2576,plain,
join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))),
inference(resolve,[$cnf( $equal(join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))),join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) )],[refute_0_2572,refute_0_2575]) ).
cnf(refute_0_2577,plain,
( join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) != join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one)))))))
| join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))))),bind(Y,$fot(join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))))),bind(Z,$fot(join(X_298,converse(join(one,complement(converse(join(X_298,one))))))))]]) ).
cnf(refute_0_2578,plain,
( join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one)))))))) )],[refute_0_2576,refute_0_2577]) ).
cnf(refute_0_2579,plain,
join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))),
inference(resolve,[$cnf( $equal(join(one,join(X_298,converse(join(one,complement(converse(join(X_298,one))))))),join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) )],[refute_0_1976,refute_0_2578]) ).
cnf(refute_0_2580,plain,
join(X0,join(one,join(skolemFOFtoCNF_X0,X_90))) = join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)),
inference(subst,[],[refute_0_46:[bind(X1,$fot(one)),bind(X2,$fot(join(skolemFOFtoCNF_X0,X_90)))]]) ).
cnf(refute_0_2581,plain,
join(one,join(skolemFOFtoCNF_X0,X_65)) = join(join(one,skolemFOFtoCNF_X0),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_2582,plain,
( join(one,join(skolemFOFtoCNF_X0,X_65)) != join(join(one,skolemFOFtoCNF_X0),X_65)
| join(one,skolemFOFtoCNF_X0) != one
| join(one,join(skolemFOFtoCNF_X0,X_65)) = join(one,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_65)),join(join(one,skolemFOFtoCNF_X0),X_65)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2583,plain,
( join(one,join(skolemFOFtoCNF_X0,X_65)) != join(join(one,skolemFOFtoCNF_X0),X_65)
| join(one,join(skolemFOFtoCNF_X0,X_65)) = join(one,X_65) ),
inference(resolve,[$cnf( $equal(join(one,skolemFOFtoCNF_X0),one) )],[refute_0_905,refute_0_2582]) ).
cnf(refute_0_2584,plain,
join(one,join(skolemFOFtoCNF_X0,X_65)) = join(one,X_65),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_65)),join(join(one,skolemFOFtoCNF_X0),X_65)) )],[refute_0_2581,refute_0_2583]) ).
cnf(refute_0_2585,plain,
join(one,join(skolemFOFtoCNF_X0,X_90)) = join(one,X_90),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(X_90))]]) ).
cnf(refute_0_2586,plain,
( join(X0,join(one,join(skolemFOFtoCNF_X0,X_90))) != join(join(X0,one),join(skolemFOFtoCNF_X0,X_90))
| join(one,join(skolemFOFtoCNF_X0,X_90)) != join(one,X_90)
| join(X0,join(one,X_90)) = join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,join(skolemFOFtoCNF_X0,X_90))),join(join(X0,one),join(skolemFOFtoCNF_X0,X_90))) ),[0,1],$fot(join(one,X_90))]]) ).
cnf(refute_0_2587,plain,
( join(X0,join(one,join(skolemFOFtoCNF_X0,X_90))) != join(join(X0,one),join(skolemFOFtoCNF_X0,X_90))
| join(X0,join(one,X_90)) = join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_90)),join(one,X_90)) )],[refute_0_2585,refute_0_2586]) ).
cnf(refute_0_2588,plain,
join(X0,join(one,X_90)) = join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(skolemFOFtoCNF_X0,X_90))),join(join(X0,one),join(skolemFOFtoCNF_X0,X_90))) )],[refute_0_2580,refute_0_2587]) ).
cnf(refute_0_2589,plain,
join(join(X0,one),X_90) = join(X0,join(one,X_90)),
inference(subst,[],[refute_0_437:[bind(X1,$fot(one)),bind(X2,$fot(X_90))]]) ).
cnf(refute_0_2590,plain,
join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)) = join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)))]]) ).
cnf(refute_0_2591,plain,
( join(join(X0,one),X_90) != join(X0,join(one,X_90))
| join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)) != join(skolemFOFtoCNF_X0,join(join(X0,one),X_90))
| join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)),join(skolemFOFtoCNF_X0,join(join(X0,one),X_90))) ),[1,1],$fot(join(X0,join(one,X_90)))]]) ).
cnf(refute_0_2592,plain,
( join(join(X0,one),X_90) != join(X0,join(one,X_90))
| join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)),join(skolemFOFtoCNF_X0,join(join(X0,one),X_90))) )],[refute_0_2590,refute_0_2591]) ).
cnf(refute_0_2593,plain,
join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))),
inference(resolve,[$cnf( $equal(join(join(X0,one),X_90),join(X0,join(one,X_90))) )],[refute_0_2589,refute_0_2592]) ).
cnf(refute_0_2594,plain,
join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)) = join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)),
inference(subst,[],[refute_0_1277:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(join(X0,one))),bind(X_65,$fot(X_90))]]) ).
cnf(refute_0_2595,plain,
( join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)) != join(skolemFOFtoCNF_X0,join(join(X0,one),X_90))
| join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)) != join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))
| join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))))]]) ).
cnf(refute_0_2596,plain,
( join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)) != join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))
| join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)),join(skolemFOFtoCNF_X0,join(join(X0,one),X_90))) )],[refute_0_2594,refute_0_2595]) ).
cnf(refute_0_2597,plain,
join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(X0,one),X_90)),join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))) )],[refute_0_2593,refute_0_2596]) ).
cnf(refute_0_2598,plain,
( join(X0,join(one,X_90)) != join(join(X0,one),join(skolemFOFtoCNF_X0,X_90))
| join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)) != join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))
| join(X0,join(one,X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(one,X_90)),join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))) ),[0],$fot(join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)))]]) ).
cnf(refute_0_2599,plain,
( join(X0,join(one,X_90)) != join(join(X0,one),join(skolemFOFtoCNF_X0,X_90))
| join(X0,join(one,X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(skolemFOFtoCNF_X0,X_90)),join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))) )],[refute_0_2597,refute_0_2598]) ).
cnf(refute_0_2600,plain,
join(X0,join(one,X_90)) = join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))),
inference(resolve,[$cnf( $equal(join(X0,join(one,X_90)),join(join(X0,one),join(skolemFOFtoCNF_X0,X_90))) )],[refute_0_2588,refute_0_2599]) ).
cnf(refute_0_2601,plain,
join(X_312,join(one,X_313)) = join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313))),
inference(subst,[],[refute_0_2600:[bind(X0,$fot(X_312)),bind(X_90,$fot(X_313))]]) ).
cnf(refute_0_2602,plain,
join(join(one,X_313),X_312) = join(X_312,join(one,X_313)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(one,X_313))),bind(X1,$fot(X_312))]]) ).
cnf(refute_0_2603,plain,
( join(join(one,X_313),X_312) != join(X_312,join(one,X_313))
| join(X_312,join(one,X_313)) = join(join(one,X_313),X_312) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(join(one,X_313),X_312))),bind(Y,$fot(join(X_312,join(one,X_313))))]]) ).
cnf(refute_0_2604,plain,
join(X_312,join(one,X_313)) = join(join(one,X_313),X_312),
inference(resolve,[$cnf( $equal(join(join(one,X_313),X_312),join(X_312,join(one,X_313))) )],[refute_0_2602,refute_0_2603]) ).
cnf(refute_0_2605,plain,
( join(X_312,join(one,X_313)) != join(join(one,X_313),X_312)
| join(X_312,join(one,X_313)) != join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))
| join(X_312,join(one,X_313)) = join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_312,join(one,X_313)),join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))) ),[1,1],$fot(join(join(one,X_313),X_312))]]) ).
cnf(refute_0_2606,plain,
( join(X_312,join(one,X_313)) != join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))
| join(X_312,join(one,X_313)) = join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) ),
inference(resolve,[$cnf( $equal(join(X_312,join(one,X_313)),join(join(one,X_313),X_312)) )],[refute_0_2604,refute_0_2605]) ).
cnf(refute_0_2607,plain,
join(X_312,join(one,X_313)) = join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)),
inference(resolve,[$cnf( $equal(join(X_312,join(one,X_313)),join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))) )],[refute_0_2601,refute_0_2606]) ).
cnf(refute_0_2608,plain,
join(one,join(skolemFOFtoCNF_X0,join(X_313,X_312))) = join(one,join(X_313,X_312)),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(join(X_313,X_312)))]]) ).
cnf(refute_0_2609,plain,
join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))) = join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(join(one,X_313)))]]) ).
cnf(refute_0_2610,plain,
join(X1,join(one,X_313)) = join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))),
inference(subst,[],[refute_0_2600:[bind(X0,$fot(X1)),bind(X_90,$fot(X_313))]]) ).
cnf(refute_0_2611,plain,
( join(X1,join(one,X_313)) != join(skolemFOFtoCNF_X0,join(X1,join(one,X_313)))
| join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))) = join(X1,join(one,X_313)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X1,join(one,X_313)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(X1,join(one,X_313)))))]]) ).
cnf(refute_0_2612,plain,
join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))) = join(X1,join(one,X_313)),
inference(resolve,[$cnf( $equal(join(X1,join(one,X_313)),join(skolemFOFtoCNF_X0,join(X1,join(one,X_313)))) )],[refute_0_2610,refute_0_2611]) ).
cnf(refute_0_2613,plain,
( join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))) != join(X1,join(one,X_313))
| join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))) != join(join(skolemFOFtoCNF_X0,X1),join(one,X_313))
| join(X1,join(one,X_313)) = join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))),join(join(skolemFOFtoCNF_X0,X1),join(one,X_313))) ),[0],$fot(join(X1,join(one,X_313)))]]) ).
cnf(refute_0_2614,plain,
( join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))) != join(join(skolemFOFtoCNF_X0,X1),join(one,X_313))
| join(X1,join(one,X_313)) = join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))),join(X1,join(one,X_313))) )],[refute_0_2612,refute_0_2613]) ).
cnf(refute_0_2615,plain,
join(X1,join(one,X_313)) = join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X1,join(one,X_313))),join(join(skolemFOFtoCNF_X0,X1),join(one,X_313))) )],[refute_0_2609,refute_0_2614]) ).
cnf(refute_0_2616,plain,
join(one,join(skolemFOFtoCNF_X0,join(X1,X_313))) = join(one,join(X1,X_313)),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(join(X1,X_313)))]]) ).
cnf(refute_0_2617,plain,
join(join(skolemFOFtoCNF_X0,X1),X_313) = join(skolemFOFtoCNF_X0,join(X1,X_313)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(X_313))]]) ).
cnf(refute_0_2618,plain,
join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) = join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)),
introduced(tautology,[refl,[$fot(join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)))]]) ).
cnf(refute_0_2619,plain,
( join(join(skolemFOFtoCNF_X0,X1),X_313) != join(skolemFOFtoCNF_X0,join(X1,X_313))
| join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) != join(one,join(join(skolemFOFtoCNF_X0,X1),X_313))
| join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) = join(one,join(skolemFOFtoCNF_X0,join(X1,X_313))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)),join(one,join(join(skolemFOFtoCNF_X0,X1),X_313))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,join(X1,X_313)))]]) ).
cnf(refute_0_2620,plain,
( join(join(skolemFOFtoCNF_X0,X1),X_313) != join(skolemFOFtoCNF_X0,join(X1,X_313))
| join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) = join(one,join(skolemFOFtoCNF_X0,join(X1,X_313))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)),join(one,join(join(skolemFOFtoCNF_X0,X1),X_313))) )],[refute_0_2618,refute_0_2619]) ).
cnf(refute_0_2621,plain,
join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) = join(one,join(skolemFOFtoCNF_X0,join(X1,X_313))),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,X1),X_313),join(skolemFOFtoCNF_X0,join(X1,X_313))) )],[refute_0_2617,refute_0_2620]) ).
cnf(refute_0_2622,plain,
( join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) != join(one,join(skolemFOFtoCNF_X0,join(X1,X_313)))
| join(one,join(skolemFOFtoCNF_X0,join(X1,X_313))) != join(one,join(X1,X_313))
| join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) = join(one,join(X1,X_313)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,join(X1,X_313))))),bind(Z,$fot(join(one,join(X1,X_313))))]]) ).
cnf(refute_0_2623,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X1,X_313))) != join(one,join(X1,X_313))
| join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) = join(one,join(X1,X_313)) ),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)),join(one,join(skolemFOFtoCNF_X0,join(X1,X_313)))) )],[refute_0_2621,refute_0_2622]) ).
cnf(refute_0_2624,plain,
join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) = join(one,join(X1,X_313)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X1,X_313))),join(one,join(X1,X_313))) )],[refute_0_2616,refute_0_2623]) ).
cnf(refute_0_2625,plain,
converse(join(one,join(converse(X_181),X_180))) = join(converse(one),join(X_181,converse(X_180))),
inference(subst,[],[refute_0_776:[bind(X_6,$fot(one)),bind(X_8,$fot(X_180)),bind(X_9,$fot(X_181))]]) ).
cnf(refute_0_2626,plain,
( converse(join(one,join(converse(X_181),X_180))) != join(converse(one),join(X_181,converse(X_180)))
| converse(one) != one
| converse(join(one,join(converse(X_181),X_180))) = join(one,join(X_181,converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(X_181),X_180))),join(converse(one),join(X_181,converse(X_180)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2627,plain,
( converse(join(one,join(converse(X_181),X_180))) != join(converse(one),join(X_181,converse(X_180)))
| converse(join(one,join(converse(X_181),X_180))) = join(one,join(X_181,converse(X_180))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_2626]) ).
cnf(refute_0_2628,plain,
converse(join(one,join(converse(X_181),X_180))) = join(one,join(X_181,converse(X_180))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_181),X_180))),join(converse(one),join(X_181,converse(X_180)))) )],[refute_0_2625,refute_0_2627]) ).
cnf(refute_0_2629,plain,
converse(join(one,join(converse(X_181),X_180))) = join(X_181,converse(join(X_180,one))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(one))]]) ).
cnf(refute_0_2630,plain,
( converse(join(one,join(converse(X_181),X_180))) != join(X_181,converse(join(X_180,one)))
| converse(join(one,join(converse(X_181),X_180))) != join(one,join(X_181,converse(X_180)))
| join(X_181,converse(join(X_180,one))) = join(one,join(X_181,converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(converse(X_181),X_180))),join(one,join(X_181,converse(X_180)))) ),[0],$fot(join(X_181,converse(join(X_180,one))))]]) ).
cnf(refute_0_2631,plain,
( converse(join(one,join(converse(X_181),X_180))) != join(one,join(X_181,converse(X_180)))
| join(X_181,converse(join(X_180,one))) = join(one,join(X_181,converse(X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_181),X_180))),join(X_181,converse(join(X_180,one)))) )],[refute_0_2629,refute_0_2630]) ).
cnf(refute_0_2632,plain,
join(X_181,converse(join(X_180,one))) = join(one,join(X_181,converse(X_180))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(X_181),X_180))),join(one,join(X_181,converse(X_180)))) )],[refute_0_2628,refute_0_2631]) ).
cnf(refute_0_2633,plain,
join(X_301,converse(join(converse(X0),one))) = join(one,join(X_301,converse(converse(X0)))),
inference(subst,[],[refute_0_2632:[bind(X_180,$fot(converse(X0))),bind(X_181,$fot(X_301))]]) ).
cnf(refute_0_2634,plain,
( converse(converse(X0)) != X0
| join(X_301,converse(join(converse(X0),one))) != join(one,join(X_301,converse(converse(X0))))
| join(X_301,converse(join(converse(X0),one))) = join(one,join(X_301,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_301,converse(join(converse(X0),one))),join(one,join(X_301,converse(converse(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_2635,plain,
( join(X_301,converse(join(converse(X0),one))) != join(one,join(X_301,converse(converse(X0))))
| join(X_301,converse(join(converse(X0),one))) = join(one,join(X_301,X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_2634]) ).
cnf(refute_0_2636,plain,
join(X_301,converse(join(converse(X0),one))) = join(one,join(X_301,X0)),
inference(resolve,[$cnf( $equal(join(X_301,converse(join(converse(X0),one))),join(one,join(X_301,converse(converse(X0))))) )],[refute_0_2633,refute_0_2635]) ).
cnf(refute_0_2637,plain,
join(converse(one),X0) = join(converse(one),X0),
introduced(tautology,[refl,[$fot(join(converse(one),X0))]]) ).
cnf(refute_0_2638,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_2639,plain,
( converse(one) != one
| join(converse(one),X0) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) )],[refute_0_2637,refute_0_2638]) ).
cnf(refute_0_2640,plain,
join(converse(one),X0) = join(one,X0),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_2639]) ).
cnf(refute_0_2641,plain,
converse(join(one,converse(X0))) = join(converse(one),X0),
inference(subst,[],[refute_0_425:[bind(X_6,$fot(one))]]) ).
cnf(refute_0_2642,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,$fot(join(one,X0)))]]) ).
cnf(refute_0_2643,plain,
( join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(converse(one),X0)) )],[refute_0_2641,refute_0_2642]) ).
cnf(refute_0_2644,plain,
converse(join(one,converse(X0))) = join(one,X0),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_2640,refute_0_2643]) ).
cnf(refute_0_2645,plain,
join(X_301,converse(join(one,converse(X0)))) = join(X_301,converse(join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(join(X_301,converse(join(one,converse(X0)))))]]) ).
cnf(refute_0_2646,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| join(X_301,converse(join(one,converse(X0)))) != join(X_301,converse(join(one,converse(X0))))
| join(X_301,converse(join(one,converse(X0)))) = join(X_301,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_301,converse(join(one,converse(X0)))),join(X_301,converse(join(one,converse(X0))))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_2647,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| join(X_301,converse(join(one,converse(X0)))) = join(X_301,join(one,X0)) ),
inference(resolve,[$cnf( $equal(join(X_301,converse(join(one,converse(X0)))),join(X_301,converse(join(one,converse(X0))))) )],[refute_0_2645,refute_0_2646]) ).
cnf(refute_0_2648,plain,
join(X_301,converse(join(one,converse(X0)))) = join(X_301,join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_2644,refute_0_2647]) ).
cnf(refute_0_2649,plain,
converse(join(converse(X0),join(X_102,X_101))) = join(X0,converse(join(X_102,X_101))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(join(X_102,X_101)))]]) ).
cnf(refute_0_2650,plain,
join(converse(X_7),converse(X_6)) = join(converse(X_6),converse(X_7)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(converse(X_7))),bind(X1,$fot(converse(X_6)))]]) ).
cnf(refute_0_2651,plain,
converse(join(X_6,X_7)) = join(converse(X_6),converse(X_7)),
inference(subst,[],[refute_0_409:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_2652,plain,
( converse(join(X_6,X_7)) != join(converse(X_6),converse(X_7))
| join(converse(X_6),converse(X_7)) = converse(join(X_6,X_7)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_6,X_7)))),bind(Y,$fot(join(converse(X_6),converse(X_7))))]]) ).
cnf(refute_0_2653,plain,
join(converse(X_6),converse(X_7)) = converse(join(X_6,X_7)),
inference(resolve,[$cnf( $equal(converse(join(X_6,X_7)),join(converse(X_6),converse(X_7))) )],[refute_0_2651,refute_0_2652]) ).
cnf(refute_0_2654,plain,
( join(converse(X_6),converse(X_7)) != converse(join(X_6,X_7))
| join(converse(X_7),converse(X_6)) != join(converse(X_6),converse(X_7))
| join(converse(X_7),converse(X_6)) = converse(join(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_7),converse(X_6)),join(converse(X_6),converse(X_7))) ),[1],$fot(converse(join(X_6,X_7)))]]) ).
cnf(refute_0_2655,plain,
( join(converse(X_7),converse(X_6)) != join(converse(X_6),converse(X_7))
| join(converse(X_7),converse(X_6)) = converse(join(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(join(converse(X_6),converse(X_7)),converse(join(X_6,X_7))) )],[refute_0_2653,refute_0_2654]) ).
cnf(refute_0_2656,plain,
join(converse(X_7),converse(X_6)) = converse(join(X_6,X_7)),
inference(resolve,[$cnf( $equal(join(converse(X_7),converse(X_6)),join(converse(X_6),converse(X_7))) )],[refute_0_2650,refute_0_2655]) ).
cnf(refute_0_2657,plain,
join(converse(X_7),converse(X_6)) = converse(join(X_7,X_6)),
inference(subst,[],[refute_0_430:[bind(X0,$fot(X_7)),bind(X1,$fot(X_6))]]) ).
cnf(refute_0_2658,plain,
( join(converse(X_7),converse(X_6)) != converse(join(X_6,X_7))
| join(converse(X_7),converse(X_6)) != converse(join(X_7,X_6))
| converse(join(X_7,X_6)) = converse(join(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_7),converse(X_6)),converse(join(X_6,X_7))) ),[0],$fot(converse(join(X_7,X_6)))]]) ).
cnf(refute_0_2659,plain,
( join(converse(X_7),converse(X_6)) != converse(join(X_6,X_7))
| converse(join(X_7,X_6)) = converse(join(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(join(converse(X_7),converse(X_6)),converse(join(X_7,X_6))) )],[refute_0_2657,refute_0_2658]) ).
cnf(refute_0_2660,plain,
converse(join(X_7,X_6)) = converse(join(X_6,X_7)),
inference(resolve,[$cnf( $equal(join(converse(X_7),converse(X_6)),converse(join(X_6,X_7))) )],[refute_0_2656,refute_0_2659]) ).
cnf(refute_0_2661,plain,
converse(join(X_102,X_101)) = converse(join(X_101,X_102)),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(X_101)),bind(X_7,$fot(X_102))]]) ).
cnf(refute_0_2662,plain,
( converse(join(X_102,X_101)) != converse(join(X_101,X_102))
| converse(join(converse(X0),join(X_102,X_101))) != join(X0,converse(join(X_102,X_101)))
| converse(join(converse(X0),join(X_102,X_101))) = join(X0,converse(join(X_101,X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_102,X_101))),join(X0,converse(join(X_102,X_101)))) ),[1,1],$fot(converse(join(X_101,X_102)))]]) ).
cnf(refute_0_2663,plain,
( converse(join(converse(X0),join(X_102,X_101))) != join(X0,converse(join(X_102,X_101)))
| converse(join(converse(X0),join(X_102,X_101))) = join(X0,converse(join(X_101,X_102))) ),
inference(resolve,[$cnf( $equal(converse(join(X_102,X_101)),converse(join(X_101,X_102))) )],[refute_0_2661,refute_0_2662]) ).
cnf(refute_0_2664,plain,
converse(join(converse(X0),join(X_102,X_101))) = join(X0,converse(join(X_101,X_102))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_102,X_101))),join(X0,converse(join(X_102,X_101)))) )],[refute_0_2649,refute_0_2663]) ).
cnf(refute_0_2665,plain,
( converse(join(converse(X0),join(X_102,X_101))) != join(X0,converse(join(X_101,X_102)))
| converse(join(converse(X0),join(X_102,X_101))) != join(X0,converse(join(X_102,X_101)))
| join(X0,converse(join(X_102,X_101))) = join(X0,converse(join(X_101,X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_102,X_101))),join(X0,converse(join(X_101,X_102)))) ),[0],$fot(join(X0,converse(join(X_102,X_101))))]]) ).
cnf(refute_0_2666,plain,
( converse(join(converse(X0),join(X_102,X_101))) != join(X0,converse(join(X_101,X_102)))
| join(X0,converse(join(X_102,X_101))) = join(X0,converse(join(X_101,X_102))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_102,X_101))),join(X0,converse(join(X_102,X_101)))) )],[refute_0_2649,refute_0_2665]) ).
cnf(refute_0_2667,plain,
join(X0,converse(join(X_102,X_101))) = join(X0,converse(join(X_101,X_102))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_102,X_101))),join(X0,converse(join(X_101,X_102)))) )],[refute_0_2664,refute_0_2666]) ).
cnf(refute_0_2668,plain,
( join(X0,converse(join(X_102,X_101))) != join(X0,converse(join(X_101,X_102)))
| join(X0,converse(join(X_101,X_102))) = join(X0,converse(join(X_102,X_101))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,converse(join(X_102,X_101))))),bind(Y,$fot(join(X0,converse(join(X_101,X_102)))))]]) ).
cnf(refute_0_2669,plain,
join(X0,converse(join(X_101,X_102))) = join(X0,converse(join(X_102,X_101))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_102,X_101))),join(X0,converse(join(X_101,X_102)))) )],[refute_0_2667,refute_0_2668]) ).
cnf(refute_0_2670,plain,
join(X_301,converse(join(converse(X0),one))) = join(X_301,converse(join(one,converse(X0)))),
inference(subst,[],[refute_0_2669:[bind(X0,$fot(X_301)),bind(X_101,$fot(converse(X0))),bind(X_102,$fot(one))]]) ).
cnf(refute_0_2671,plain,
( join(X_301,converse(join(converse(X0),one))) != join(X_301,converse(join(one,converse(X0))))
| join(X_301,converse(join(one,converse(X0)))) != join(X_301,join(one,X0))
| join(X_301,converse(join(converse(X0),one))) = join(X_301,join(one,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_301,converse(join(converse(X0),one))))),bind(Y,$fot(join(X_301,converse(join(one,converse(X0)))))),bind(Z,$fot(join(X_301,join(one,X0))))]]) ).
cnf(refute_0_2672,plain,
( join(X_301,converse(join(one,converse(X0)))) != join(X_301,join(one,X0))
| join(X_301,converse(join(converse(X0),one))) = join(X_301,join(one,X0)) ),
inference(resolve,[$cnf( $equal(join(X_301,converse(join(converse(X0),one))),join(X_301,converse(join(one,converse(X0))))) )],[refute_0_2670,refute_0_2671]) ).
cnf(refute_0_2673,plain,
join(X_301,converse(join(converse(X0),one))) = join(X_301,join(one,X0)),
inference(resolve,[$cnf( $equal(join(X_301,converse(join(one,converse(X0)))),join(X_301,join(one,X0))) )],[refute_0_2648,refute_0_2672]) ).
cnf(refute_0_2674,plain,
( join(X_301,converse(join(converse(X0),one))) != join(X_301,join(one,X0))
| join(X_301,converse(join(converse(X0),one))) != join(one,join(X_301,X0))
| join(X_301,join(one,X0)) = join(one,join(X_301,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_301,converse(join(converse(X0),one))),join(one,join(X_301,X0))) ),[0],$fot(join(X_301,join(one,X0)))]]) ).
cnf(refute_0_2675,plain,
( join(X_301,converse(join(converse(X0),one))) != join(one,join(X_301,X0))
| join(X_301,join(one,X0)) = join(one,join(X_301,X0)) ),
inference(resolve,[$cnf( $equal(join(X_301,converse(join(converse(X0),one))),join(X_301,join(one,X0))) )],[refute_0_2673,refute_0_2674]) ).
cnf(refute_0_2676,plain,
join(X_301,join(one,X0)) = join(one,join(X_301,X0)),
inference(resolve,[$cnf( $equal(join(X_301,converse(join(converse(X0),one))),join(one,join(X_301,X0))) )],[refute_0_2636,refute_0_2675]) ).
cnf(refute_0_2677,plain,
join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)) = join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)),
inference(subst,[],[refute_0_2676:[bind(X0,$fot(X_313)),bind(X_301,$fot(join(skolemFOFtoCNF_X0,X1)))]]) ).
cnf(refute_0_2678,plain,
( join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)) != join(one,join(join(skolemFOFtoCNF_X0,X1),X_313))
| join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) != join(one,join(X1,X_313))
| join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)) = join(one,join(X1,X_313)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)))),bind(Y,$fot(join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)))),bind(Z,$fot(join(one,join(X1,X_313))))]]) ).
cnf(refute_0_2679,plain,
( join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)) != join(one,join(X1,X_313))
| join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)) = join(one,join(X1,X_313)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)),join(one,join(join(skolemFOFtoCNF_X0,X1),X_313))) )],[refute_0_2677,refute_0_2678]) ).
cnf(refute_0_2680,plain,
join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)) = join(one,join(X1,X_313)),
inference(resolve,[$cnf( $equal(join(one,join(join(skolemFOFtoCNF_X0,X1),X_313)),join(one,join(X1,X_313))) )],[refute_0_2624,refute_0_2679]) ).
cnf(refute_0_2681,plain,
( join(X1,join(one,X_313)) != join(join(skolemFOFtoCNF_X0,X1),join(one,X_313))
| join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)) != join(one,join(X1,X_313))
| join(X1,join(one,X_313)) = join(one,join(X1,X_313)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,join(one,X_313)),join(one,join(X1,X_313))) ),[0],$fot(join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)))]]) ).
cnf(refute_0_2682,plain,
( join(X1,join(one,X_313)) != join(join(skolemFOFtoCNF_X0,X1),join(one,X_313))
| join(X1,join(one,X_313)) = join(one,join(X1,X_313)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,X1),join(one,X_313)),join(one,join(X1,X_313))) )],[refute_0_2680,refute_0_2681]) ).
cnf(refute_0_2683,plain,
join(X1,join(one,X_313)) = join(one,join(X1,X_313)),
inference(resolve,[$cnf( $equal(join(X1,join(one,X_313)),join(join(skolemFOFtoCNF_X0,X1),join(one,X_313))) )],[refute_0_2615,refute_0_2682]) ).
cnf(refute_0_2684,plain,
join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) = join(one,join(skolemFOFtoCNF_X0,join(X_313,X_312))),
inference(subst,[],[refute_0_2683:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_313,$fot(join(X_313,X_312)))]]) ).
cnf(refute_0_2685,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_313,X_312))) != join(one,join(X_313,X_312))
| join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) != join(one,join(skolemFOFtoCNF_X0,join(X_313,X_312)))
| join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) = join(one,join(X_313,X_312)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,join(X_313,X_312))))),bind(Z,$fot(join(one,join(X_313,X_312))))]]) ).
cnf(refute_0_2686,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_313,X_312))) != join(one,join(X_313,X_312))
| join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) = join(one,join(X_313,X_312)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))),join(one,join(skolemFOFtoCNF_X0,join(X_313,X_312)))) )],[refute_0_2684,refute_0_2685]) ).
cnf(refute_0_2687,plain,
join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) = join(one,join(X_313,X_312)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_313,X_312))),join(one,join(X_313,X_312))) )],[refute_0_2608,refute_0_2686]) ).
cnf(refute_0_2688,plain,
join(join(one,X_313),X_312) = join(one,join(X_313,X_312)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(X_313)),bind(X2,$fot(X_312))]]) ).
cnf(refute_0_2689,plain,
join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) = join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)))]]) ).
cnf(refute_0_2690,plain,
( join(join(one,X_313),X_312) != join(one,join(X_313,X_312))
| join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) != join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312))
| join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) = join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)),join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312))) ),[1,1],$fot(join(one,join(X_313,X_312)))]]) ).
cnf(refute_0_2691,plain,
( join(join(one,X_313),X_312) != join(one,join(X_313,X_312))
| join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) = join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)),join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312))) )],[refute_0_2689,refute_0_2690]) ).
cnf(refute_0_2692,plain,
join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) = join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))),
inference(resolve,[$cnf( $equal(join(join(one,X_313),X_312),join(one,join(X_313,X_312))) )],[refute_0_2688,refute_0_2691]) ).
cnf(refute_0_2693,plain,
( join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) != join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312)))
| join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) != join(one,join(X_313,X_312))
| join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) = join(one,join(X_313,X_312)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))))),bind(Z,$fot(join(one,join(X_313,X_312))))]]) ).
cnf(refute_0_2694,plain,
( join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))) != join(one,join(X_313,X_312))
| join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) = join(one,join(X_313,X_312)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)),join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312)))) )],[refute_0_2692,refute_0_2693]) ).
cnf(refute_0_2695,plain,
join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) = join(one,join(X_313,X_312)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(one,join(X_313,X_312))),join(one,join(X_313,X_312))) )],[refute_0_2687,refute_0_2694]) ).
cnf(refute_0_2696,plain,
( join(X_312,join(one,X_313)) != join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312))
| join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)) != join(one,join(X_313,X_312))
| join(X_312,join(one,X_313)) = join(one,join(X_313,X_312)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_312,join(one,X_313)),join(one,join(X_313,X_312))) ),[0],$fot(join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)))]]) ).
cnf(refute_0_2697,plain,
( join(X_312,join(one,X_313)) != join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312))
| join(X_312,join(one,X_313)) = join(one,join(X_313,X_312)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312)),join(one,join(X_313,X_312))) )],[refute_0_2695,refute_0_2696]) ).
cnf(refute_0_2698,plain,
join(X_312,join(one,X_313)) = join(one,join(X_313,X_312)),
inference(resolve,[$cnf( $equal(join(X_312,join(one,X_313)),join(skolemFOFtoCNF_X0,join(join(one,X_313),X_312))) )],[refute_0_2607,refute_0_2697]) ).
cnf(refute_0_2699,plain,
join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(one,X_298)) = join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),
inference(subst,[],[refute_0_2698:[bind(X_312,$fot(join(one,converse(complement(converse(join(one,join(X_298,one)))))))),bind(X_313,$fot(X_298))]]) ).
cnf(refute_0_2700,plain,
join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) = join(join(one,join(X_431,converse(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(join(X_431,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2701,plain,
join(one,join(converse(skolemFOFtoCNF_X0),X_299)) = join(X_299,one),
inference(subst,[],[refute_0_915:[bind(X_298,$fot(X_299))]]) ).
cnf(refute_0_2702,plain,
join(X_299,converse(skolemFOFtoCNF_X0)) = join(converse(skolemFOFtoCNF_X0),X_299),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_299)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2703,plain,
( join(X_299,converse(skolemFOFtoCNF_X0)) != join(converse(skolemFOFtoCNF_X0),X_299)
| join(converse(skolemFOFtoCNF_X0),X_299) = join(X_299,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_299,converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),X_299)))]]) ).
cnf(refute_0_2704,plain,
join(converse(skolemFOFtoCNF_X0),X_299) = join(X_299,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(X_299,converse(skolemFOFtoCNF_X0)),join(converse(skolemFOFtoCNF_X0),X_299)) )],[refute_0_2702,refute_0_2703]) ).
cnf(refute_0_2705,plain,
( join(converse(skolemFOFtoCNF_X0),X_299) != join(X_299,converse(skolemFOFtoCNF_X0))
| join(one,join(converse(skolemFOFtoCNF_X0),X_299)) != join(X_299,one)
| join(one,join(X_299,converse(skolemFOFtoCNF_X0))) = join(X_299,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_299)),join(X_299,one)) ),[0,1],$fot(join(X_299,converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2706,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),X_299)) != join(X_299,one)
| join(one,join(X_299,converse(skolemFOFtoCNF_X0))) = join(X_299,one) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),X_299),join(X_299,converse(skolemFOFtoCNF_X0))) )],[refute_0_2704,refute_0_2705]) ).
cnf(refute_0_2707,plain,
join(one,join(X_299,converse(skolemFOFtoCNF_X0))) = join(X_299,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),X_299)),join(X_299,one)) )],[refute_0_2701,refute_0_2706]) ).
cnf(refute_0_2708,plain,
join(one,join(X_431,converse(skolemFOFtoCNF_X0))) = join(X_431,one),
inference(subst,[],[refute_0_2707:[bind(X_299,$fot(X_431))]]) ).
cnf(refute_0_2709,plain,
( join(one,join(X_431,converse(skolemFOFtoCNF_X0))) != join(X_431,one)
| join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) != join(join(one,join(X_431,converse(skolemFOFtoCNF_X0))),X2)
| join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) = join(join(X_431,one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)),join(join(one,join(X_431,converse(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(join(X_431,one))]]) ).
cnf(refute_0_2710,plain,
( join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) != join(join(one,join(X_431,converse(skolemFOFtoCNF_X0))),X2)
| join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) = join(join(X_431,one),X2) ),
inference(resolve,[$cnf( $equal(join(one,join(X_431,converse(skolemFOFtoCNF_X0))),join(X_431,one)) )],[refute_0_2708,refute_0_2709]) ).
cnf(refute_0_2711,plain,
join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) = join(join(X_431,one),X2),
inference(resolve,[$cnf( $equal(join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)),join(join(one,join(X_431,converse(skolemFOFtoCNF_X0))),X2)) )],[refute_0_2700,refute_0_2710]) ).
cnf(refute_0_2712,plain,
join(join(X_431,converse(skolemFOFtoCNF_X0)),X2) = join(X_431,join(converse(skolemFOFtoCNF_X0),X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_431)),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2713,plain,
join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) = join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)),
introduced(tautology,[refl,[$fot(join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)))]]) ).
cnf(refute_0_2714,plain,
( join(join(X_431,converse(skolemFOFtoCNF_X0)),X2) != join(X_431,join(converse(skolemFOFtoCNF_X0),X2))
| join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) != join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2))
| join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) = join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)),join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2))) ),[1,1],$fot(join(X_431,join(converse(skolemFOFtoCNF_X0),X2)))]]) ).
cnf(refute_0_2715,plain,
( join(join(X_431,converse(skolemFOFtoCNF_X0)),X2) != join(X_431,join(converse(skolemFOFtoCNF_X0),X2))
| join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) = join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)),join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2))) )],[refute_0_2713,refute_0_2714]) ).
cnf(refute_0_2716,plain,
join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) = join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(join(join(X_431,converse(skolemFOFtoCNF_X0)),X2),join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) )],[refute_0_2712,refute_0_2715]) ).
cnf(refute_0_2717,plain,
( join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) != join(join(X_431,one),X2)
| join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) != join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2)))
| join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) = join(join(X_431,one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)),join(join(X_431,one),X2)) ),[0],$fot(join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_2718,plain,
( join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) != join(join(X_431,one),X2)
| join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) = join(join(X_431,one),X2) ),
inference(resolve,[$cnf( $equal(join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)),join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2)))) )],[refute_0_2716,refute_0_2717]) ).
cnf(refute_0_2719,plain,
join(join(X_431,one),X2) = join(X_431,join(one,X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_431)),bind(X1,$fot(one))]]) ).
cnf(refute_0_2720,plain,
( join(join(X_431,one),X2) != join(X_431,join(one,X2))
| join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) != join(join(X_431,one),X2)
| join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) = join(X_431,join(one,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))),join(join(X_431,one),X2)) ),[1],$fot(join(X_431,join(one,X2)))]]) ).
cnf(refute_0_2721,plain,
( join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) != join(join(X_431,one),X2)
| join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) = join(X_431,join(one,X2)) ),
inference(resolve,[$cnf( $equal(join(join(X_431,one),X2),join(X_431,join(one,X2))) )],[refute_0_2719,refute_0_2720]) ).
cnf(refute_0_2722,plain,
( join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)) != join(join(X_431,one),X2)
| join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) = join(X_431,join(one,X2)) ),
inference(resolve,[$cnf( $equal(join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))),join(join(X_431,one),X2)) )],[refute_0_2718,refute_0_2721]) ).
cnf(refute_0_2723,plain,
join(one,join(X_431,join(converse(skolemFOFtoCNF_X0),X2))) = join(X_431,join(one,X2)),
inference(resolve,[$cnf( $equal(join(one,join(join(X_431,converse(skolemFOFtoCNF_X0)),X2)),join(join(X_431,one),X2)) )],[refute_0_2711,refute_0_2722]) ).
cnf(refute_0_2724,plain,
join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))) = join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(one,X_298)),
inference(subst,[],[refute_0_2723:[bind(X2,$fot(X_298)),bind(X_431,$fot(join(one,converse(complement(converse(join(one,join(X_298,one))))))))]]) ).
cnf(refute_0_2725,plain,
( join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(one,X_298)) != join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))
| join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))) != join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(one,X_298))
| join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))) = join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))))),bind(Y,$fot(join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(one,X_298)))),bind(Z,$fot(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))))]]) ).
cnf(refute_0_2726,plain,
( join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(one,X_298)) != join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))
| join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))) = join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))),join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(one,X_298))) )],[refute_0_2724,refute_0_2725]) ).
cnf(refute_0_2727,plain,
join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))) = join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),
inference(resolve,[$cnf( $equal(join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(one,X_298)),join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))) )],[refute_0_2699,refute_0_2726]) ).
cnf(refute_0_2728,plain,
join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))),
inference(subst,[],[refute_0_2698:[bind(X_312,$fot(join(converse(skolemFOFtoCNF_X0),X_298))),bind(X_313,$fot(join(one,converse(complement(converse(join(one,join(X_298,one))))))))]]) ).
cnf(refute_0_2729,plain,
( join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) != join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298)))
| join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))) != join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))
| join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))))),bind(Y,$fot(join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))))),bind(Z,$fot(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))))]]) ).
cnf(refute_0_2730,plain,
( join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))) != join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))
| join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298)))) )],[refute_0_2728,refute_0_2729]) ).
cnf(refute_0_2731,plain,
join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),
inference(resolve,[$cnf( $equal(join(one,join(join(one,converse(complement(converse(join(one,join(X_298,one)))))),join(converse(skolemFOFtoCNF_X0),X_298))),join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))) )],[refute_0_2727,refute_0_2730]) ).
cnf(refute_0_2732,plain,
( join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) != join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))
| join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))))),bind(Y,$fot(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))))),bind(Z,$fot(join(X_298,converse(join(one,complement(converse(join(X_298,one))))))))]]) ).
cnf(refute_0_2733,plain,
( join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one))))))))) )],[refute_0_2731,refute_0_2732]) ).
cnf(refute_0_2734,plain,
join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))),
inference(resolve,[$cnf( $equal(join(one,join(X_298,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) )],[refute_0_2579,refute_0_2733]) ).
cnf(refute_0_2735,plain,
( join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))) != join(X_298,converse(join(one,complement(converse(join(X_298,one))))))
| top != join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one))))))))
| top = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one))))))))) ),[1],$fot(join(X_298,converse(join(one,complement(converse(join(X_298,one)))))))]]) ).
cnf(refute_0_2736,plain,
( top != join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one))))))))
| top = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))) ),
inference(resolve,[$cnf( $equal(join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one)))))))),join(X_298,converse(join(one,complement(converse(join(X_298,one))))))) )],[refute_0_2734,refute_0_2735]) ).
cnf(refute_0_2737,plain,
top = join(X_298,converse(join(one,complement(converse(join(X_298,one)))))),
inference(resolve,[$cnf( $equal(top,join(join(converse(skolemFOFtoCNF_X0),X_298),join(one,join(one,converse(complement(converse(join(one,join(X_298,one))))))))) )],[refute_0_918,refute_0_2736]) ).
cnf(refute_0_2738,plain,
top = join(X1,converse(join(one,complement(converse(join(X1,one)))))),
inference(subst,[],[refute_0_2737:[bind(X_298,$fot(X1))]]) ).
cnf(refute_0_2739,plain,
( top != join(X1,converse(join(one,complement(converse(join(X1,one))))))
| join(X1,converse(join(one,complement(converse(join(X1,one)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X1,converse(join(one,complement(converse(join(X1,one))))))))]]) ).
cnf(refute_0_2740,plain,
join(X1,converse(join(one,complement(converse(join(X1,one)))))) = top,
inference(resolve,[$cnf( $equal(top,join(X1,converse(join(one,complement(converse(join(X1,one))))))) )],[refute_0_2738,refute_0_2739]) ).
cnf(refute_0_2741,plain,
( complement(X1) != join(complement(join(X1,converse(join(one,complement(converse(join(X1,one))))))),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))
| join(X1,converse(join(one,complement(converse(join(X1,one)))))) != top
| complement(X1) = join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X1),join(complement(join(X1,converse(join(one,complement(converse(join(X1,one))))))),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2742,plain,
( complement(X1) != join(complement(join(X1,converse(join(one,complement(converse(join(X1,one))))))),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))
| complement(X1) = join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) ),
inference(resolve,[$cnf( $equal(join(X1,converse(join(one,complement(converse(join(X1,one)))))),top) )],[refute_0_2740,refute_0_2741]) ).
cnf(refute_0_2743,plain,
complement(X1) = join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,converse(join(one,complement(converse(join(X1,one))))))),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))) )],[refute_0_408,refute_0_2742]) ).
cnf(refute_0_2744,plain,
join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) = meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))))]]) ).
cnf(refute_0_2745,plain,
join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) = join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))))]]) ).
cnf(refute_0_2746,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) != join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))
| join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) = join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2747,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) = join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))) )],[refute_0_2745,refute_0_2746]) ).
cnf(refute_0_2748,plain,
join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) = join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2747]) ).
cnf(refute_0_2749,plain,
( join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) != join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))
| join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) != meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))
| join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) = meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))))),bind(Y,$fot(join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))))),bind(Z,$fot(meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))))]]) ).
cnf(refute_0_2750,plain,
( join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) != meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))
| join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) = meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))) )],[refute_0_2748,refute_0_2749]) ).
cnf(refute_0_2751,plain,
join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) = meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) )],[refute_0_2744,refute_0_2750]) ).
cnf(refute_0_2752,plain,
( complement(X1) != join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))
| join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) != meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))
| complement(X1) = meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) ),[0],$fot(join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))))]]) ).
cnf(refute_0_2753,plain,
( complement(X1) != join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))
| complement(X1) = meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))),meet(complement(X1),converse(join(one,complement(converse(join(X1,one))))))) )],[refute_0_2751,refute_0_2752]) ).
cnf(refute_0_2754,plain,
complement(X1) = meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(top),meet(complement(X1),converse(join(one,complement(converse(join(X1,one)))))))) )],[refute_0_2743,refute_0_2753]) ).
cnf(refute_0_2755,plain,
complement(X_473) = meet(complement(X_473),converse(join(one,complement(converse(join(X_473,one)))))),
inference(subst,[],[refute_0_2754:[bind(X1,$fot(X_473))]]) ).
cnf(refute_0_2756,plain,
join(one,X_473) = join(X_473,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_473))]]) ).
cnf(refute_0_2757,plain,
( join(one,X_473) != join(X_473,one)
| join(X_473,one) = join(one,X_473) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_473))),bind(Y,$fot(join(X_473,one)))]]) ).
cnf(refute_0_2758,plain,
join(X_473,one) = join(one,X_473),
inference(resolve,[$cnf( $equal(join(one,X_473),join(X_473,one)) )],[refute_0_2756,refute_0_2757]) ).
cnf(refute_0_2759,plain,
( complement(X_473) != meet(complement(X_473),converse(join(one,complement(converse(join(X_473,one))))))
| join(X_473,one) != join(one,X_473)
| complement(X_473) = meet(complement(X_473),converse(join(one,complement(converse(join(one,X_473)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_473),meet(complement(X_473),converse(join(one,complement(converse(join(X_473,one))))))) ),[1,1,0,1,0,0],$fot(join(one,X_473))]]) ).
cnf(refute_0_2760,plain,
( complement(X_473) != meet(complement(X_473),converse(join(one,complement(converse(join(X_473,one))))))
| complement(X_473) = meet(complement(X_473),converse(join(one,complement(converse(join(one,X_473)))))) ),
inference(resolve,[$cnf( $equal(join(X_473,one),join(one,X_473)) )],[refute_0_2758,refute_0_2759]) ).
cnf(refute_0_2761,plain,
complement(X_473) = meet(complement(X_473),converse(join(one,complement(converse(join(one,X_473)))))),
inference(resolve,[$cnf( $equal(complement(X_473),meet(complement(X_473),converse(join(one,complement(converse(join(X_473,one))))))) )],[refute_0_2755,refute_0_2760]) ).
cnf(refute_0_2762,plain,
complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) = meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))))),
inference(subst,[],[refute_0_2761:[bind(X_473,$fot(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))]]) ).
cnf(refute_0_2763,plain,
join(one,join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))) = join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))))]]) ).
cnf(refute_0_2764,plain,
top = join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))),
inference(subst,[],[refute_0_1053:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(X_93))]]) ).
cnf(refute_0_2765,plain,
( top != join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))
| join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))))]]) ).
cnf(refute_0_2766,plain,
join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))) )],[refute_0_2764,refute_0_2765]) ).
cnf(refute_0_2767,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))) != join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))
| join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))) != top
| join(one,top) = join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))),join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2768,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))) != join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))
| join(one,top) = join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))),top) )],[refute_0_2766,refute_0_2767]) ).
cnf(refute_0_2769,plain,
join(one,top) = join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))),join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))) )],[refute_0_2763,refute_0_2768]) ).
cnf(refute_0_2770,plain,
( join(one,top) != join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))
| join(one,top) != top
| top = join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2771,plain,
( join(one,top) != join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))
| top = join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_2770]) ).
cnf(refute_0_2772,plain,
top = join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_93,complement(join(skolemFOFtoCNF_X0,X_93))))) )],[refute_0_2769,refute_0_2771]) ).
cnf(refute_0_2773,plain,
top = join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),
inference(subst,[],[refute_0_2772:[bind(X_93,$fot(X_763))]]) ).
cnf(refute_0_2774,plain,
( top != join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))
| join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))]]) ).
cnf(refute_0_2775,plain,
join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) )],[refute_0_2773,refute_0_2774]) ).
cnf(refute_0_2776,plain,
( complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))))))
| join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != top
| complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) = meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))))))) ),[1,1,0,1,0,0],$fot(top)]]) ).
cnf(refute_0_2777,plain,
( complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))))))
| complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) = meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),top) )],[refute_0_2775,refute_0_2776]) ).
cnf(refute_0_2778,plain,
complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) = meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))),
inference(resolve,[$cnf( $equal(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(join(one,join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))))))) )],[refute_0_2762,refute_0_2777]) ).
cnf(refute_0_2779,plain,
complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) = meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(join(skolemFOFtoCNF_X0,X_763))),bind(X_27,$fot(X_763))]]) ).
cnf(refute_0_2780,plain,
( complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))
| complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top)))))
| meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)) = meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top)))))) ),[0],$fot(meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)))]]) ).
cnf(refute_0_2781,plain,
( complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top)))))
| meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)) = meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) )],[refute_0_2779,refute_0_2780]) ).
cnf(refute_0_2782,plain,
complement(X_213) = join(complement(join(X_213,join(X1,complement(join(X1,X_213))))),meet(complement(X_213),join(X1,complement(join(X1,X_213))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(X_213)),bind(X_32,$fot(join(X1,complement(join(X1,X_213)))))]]) ).
cnf(refute_0_2783,plain,
join(join(X_93,complement(join(X1,X_93))),X1) = join(X1,join(X_93,complement(join(X1,X_93)))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(X_93,complement(join(X1,X_93)))))]]) ).
cnf(refute_0_2784,plain,
top = join(X1,join(X_93,complement(join(X1,X_93)))),
inference(subst,[],[refute_0_1053:[bind(X_63,$fot(X1)),bind(X_64,$fot(X_93))]]) ).
cnf(refute_0_2785,plain,
( top != join(X1,join(X_93,complement(join(X1,X_93))))
| join(X1,join(X_93,complement(join(X1,X_93)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X1,join(X_93,complement(join(X1,X_93))))))]]) ).
cnf(refute_0_2786,plain,
join(X1,join(X_93,complement(join(X1,X_93)))) = top,
inference(resolve,[$cnf( $equal(top,join(X1,join(X_93,complement(join(X1,X_93))))) )],[refute_0_2784,refute_0_2785]) ).
cnf(refute_0_2787,plain,
( join(X1,join(X_93,complement(join(X1,X_93)))) != top
| join(join(X_93,complement(join(X1,X_93))),X1) != join(X1,join(X_93,complement(join(X1,X_93))))
| join(join(X_93,complement(join(X1,X_93))),X1) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_93,complement(join(X1,X_93))),X1),join(X1,join(X_93,complement(join(X1,X_93))))) ),[1],$fot(top)]]) ).
cnf(refute_0_2788,plain,
( join(join(X_93,complement(join(X1,X_93))),X1) != join(X1,join(X_93,complement(join(X1,X_93))))
| join(join(X_93,complement(join(X1,X_93))),X1) = top ),
inference(resolve,[$cnf( $equal(join(X1,join(X_93,complement(join(X1,X_93)))),top) )],[refute_0_2786,refute_0_2787]) ).
cnf(refute_0_2789,plain,
join(join(X_93,complement(join(X1,X_93))),X1) = top,
inference(resolve,[$cnf( $equal(join(join(X_93,complement(join(X1,X_93))),X1),join(X1,join(X_93,complement(join(X1,X_93))))) )],[refute_0_2783,refute_0_2788]) ).
cnf(refute_0_2790,plain,
join(X_93,join(complement(join(X1,X_93)),X1)) = join(X_93,join(X1,complement(join(X1,X_93)))),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(X_93)),bind(X_64,$fot(complement(join(X1,X_93)))),bind(X_65,$fot(X1))]]) ).
cnf(refute_0_2791,plain,
join(join(X_93,complement(join(X1,X_93))),X1) = join(X_93,join(complement(join(X1,X_93)),X1)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_93)),bind(X1,$fot(complement(join(X1,X_93)))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_2792,plain,
( join(X_93,join(complement(join(X1,X_93)),X1)) != join(X_93,join(X1,complement(join(X1,X_93))))
| join(join(X_93,complement(join(X1,X_93))),X1) != join(X_93,join(complement(join(X1,X_93)),X1))
| join(join(X_93,complement(join(X1,X_93))),X1) = join(X_93,join(X1,complement(join(X1,X_93)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X_93,complement(join(X1,X_93))),X1))),bind(Y,$fot(join(X_93,join(complement(join(X1,X_93)),X1)))),bind(Z,$fot(join(X_93,join(X1,complement(join(X1,X_93))))))]]) ).
cnf(refute_0_2793,plain,
( join(X_93,join(complement(join(X1,X_93)),X1)) != join(X_93,join(X1,complement(join(X1,X_93))))
| join(join(X_93,complement(join(X1,X_93))),X1) = join(X_93,join(X1,complement(join(X1,X_93)))) ),
inference(resolve,[$cnf( $equal(join(join(X_93,complement(join(X1,X_93))),X1),join(X_93,join(complement(join(X1,X_93)),X1))) )],[refute_0_2791,refute_0_2792]) ).
cnf(refute_0_2794,plain,
join(join(X_93,complement(join(X1,X_93))),X1) = join(X_93,join(X1,complement(join(X1,X_93)))),
inference(resolve,[$cnf( $equal(join(X_93,join(complement(join(X1,X_93)),X1)),join(X_93,join(X1,complement(join(X1,X_93))))) )],[refute_0_2790,refute_0_2793]) ).
cnf(refute_0_2795,plain,
( join(join(X_93,complement(join(X1,X_93))),X1) != join(X_93,join(X1,complement(join(X1,X_93))))
| join(join(X_93,complement(join(X1,X_93))),X1) != top
| join(X_93,join(X1,complement(join(X1,X_93)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_93,complement(join(X1,X_93))),X1),top) ),[0],$fot(join(X_93,join(X1,complement(join(X1,X_93)))))]]) ).
cnf(refute_0_2796,plain,
( join(join(X_93,complement(join(X1,X_93))),X1) != top
| join(X_93,join(X1,complement(join(X1,X_93)))) = top ),
inference(resolve,[$cnf( $equal(join(join(X_93,complement(join(X1,X_93))),X1),join(X_93,join(X1,complement(join(X1,X_93))))) )],[refute_0_2794,refute_0_2795]) ).
cnf(refute_0_2797,plain,
join(X_93,join(X1,complement(join(X1,X_93)))) = top,
inference(resolve,[$cnf( $equal(join(join(X_93,complement(join(X1,X_93))),X1),top) )],[refute_0_2789,refute_0_2796]) ).
cnf(refute_0_2798,plain,
join(X_213,join(X1,complement(join(X1,X_213)))) = top,
inference(subst,[],[refute_0_2797:[bind(X_93,$fot(X_213))]]) ).
cnf(refute_0_2799,plain,
( complement(X_213) != join(complement(join(X_213,join(X1,complement(join(X1,X_213))))),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))
| join(X_213,join(X1,complement(join(X1,X_213)))) != top
| complement(X_213) = join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_213),join(complement(join(X_213,join(X1,complement(join(X1,X_213))))),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_2800,plain,
( complement(X_213) != join(complement(join(X_213,join(X1,complement(join(X1,X_213))))),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))
| complement(X_213) = join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) ),
inference(resolve,[$cnf( $equal(join(X_213,join(X1,complement(join(X1,X_213)))),top) )],[refute_0_2798,refute_0_2799]) ).
cnf(refute_0_2801,plain,
complement(X_213) = join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))),
inference(resolve,[$cnf( $equal(complement(X_213),join(complement(join(X_213,join(X1,complement(join(X1,X_213))))),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))) )],[refute_0_2782,refute_0_2800]) ).
cnf(refute_0_2802,plain,
join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213))))) = meet(complement(X_213),join(X1,complement(join(X1,X_213)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(X_213),join(X1,complement(join(X1,X_213))))))]]) ).
cnf(refute_0_2803,plain,
join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) = join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))))]]) ).
cnf(refute_0_2804,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) != join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))
| join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) = join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))),join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2805,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) = join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))),join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))) )],[refute_0_2803,refute_0_2804]) ).
cnf(refute_0_2806,plain,
join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) = join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2805]) ).
cnf(refute_0_2807,plain,
( join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) != join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213)))))
| join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213))))) != meet(complement(X_213),join(X1,complement(join(X1,X_213))))
| join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) = meet(complement(X_213),join(X1,complement(join(X1,X_213)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))))),bind(Y,$fot(join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213))))))),bind(Z,$fot(meet(complement(X_213),join(X1,complement(join(X1,X_213))))))]]) ).
cnf(refute_0_2808,plain,
( join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213))))) != meet(complement(X_213),join(X1,complement(join(X1,X_213))))
| join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) = meet(complement(X_213),join(X1,complement(join(X1,X_213)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))),join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213)))))) )],[refute_0_2806,refute_0_2807]) ).
cnf(refute_0_2809,plain,
join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) = meet(complement(X_213),join(X1,complement(join(X1,X_213)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_213),join(X1,complement(join(X1,X_213))))),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) )],[refute_0_2802,refute_0_2808]) ).
cnf(refute_0_2810,plain,
( complement(X_213) != join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))
| join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) != meet(complement(X_213),join(X1,complement(join(X1,X_213))))
| complement(X_213) = meet(complement(X_213),join(X1,complement(join(X1,X_213)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_213),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) ),[0],$fot(join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))))]]) ).
cnf(refute_0_2811,plain,
( complement(X_213) != join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))
| complement(X_213) = meet(complement(X_213),join(X1,complement(join(X1,X_213)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213))))),meet(complement(X_213),join(X1,complement(join(X1,X_213))))) )],[refute_0_2809,refute_0_2810]) ).
cnf(refute_0_2812,plain,
complement(X_213) = meet(complement(X_213),join(X1,complement(join(X1,X_213)))),
inference(resolve,[$cnf( $equal(complement(X_213),join(complement(top),meet(complement(X_213),join(X1,complement(join(X1,X_213)))))) )],[refute_0_2801,refute_0_2811]) ).
cnf(refute_0_2813,plain,
complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) = meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(one)),bind(X_213,$fot(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2814,plain,
join(one,join(skolemFOFtoCNF_X0,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))) = join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2815,plain,
join(skolemFOFtoCNF_X0,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_2797:[bind(X1,$fot(X_161)),bind(X_93,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2816,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))) != join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))) != top
| join(one,top) = join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))),join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_2817,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))) != join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))
| join(one,top) = join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))),top) )],[refute_0_2815,refute_0_2816]) ).
cnf(refute_0_2818,plain,
join(one,top) = join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))),join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))) )],[refute_0_2814,refute_0_2817]) ).
cnf(refute_0_2819,plain,
( join(one,top) != join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))
| join(one,top) != top
| top = join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_2820,plain,
( join(one,top) != join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))
| top = join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_2819]) ).
cnf(refute_0_2821,plain,
top = join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_161,complement(join(X_161,skolemFOFtoCNF_X0))))) )],[refute_0_2818,refute_0_2820]) ).
cnf(refute_0_2822,plain,
top = join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2821:[bind(X_161,$fot(X_287))]]) ).
cnf(refute_0_2823,plain,
( top != join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))
| join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2824,plain,
join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) )],[refute_0_2822,refute_0_2823]) ).
cnf(refute_0_2825,plain,
( complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))))
| join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != top
| complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) = meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_2826,plain,
( complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))))
| complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) = meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),top) )],[refute_0_2824,refute_0_2825]) ).
cnf(refute_0_2827,plain,
complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) = meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(join(one,join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))))) )],[refute_0_2813,refute_0_2826]) ).
cnf(refute_0_2828,plain,
complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) = meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(join(X_287,skolemFOFtoCNF_X0))),bind(X_27,$fot(X_287))]]) ).
cnf(refute_0_2829,plain,
( complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))
| complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top)))
| meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)) = meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top)))) ),[0],$fot(meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2830,plain,
( complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top)))
| meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)) = meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) )],[refute_0_2828,refute_0_2829]) ).
cnf(refute_0_2831,plain,
meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2832,plain,
( complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))
| meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) != meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))
| meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2833,plain,
( complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))
| meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))) )],[refute_0_2831,refute_0_2832]) ).
cnf(refute_0_2834,plain,
meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) )],[refute_0_2828,refute_0_2833]) ).
cnf(refute_0_2835,plain,
join(one,zero) = one,
inference(subst,[],[refute_0_571:[bind(X_66,$fot(one))]]) ).
cnf(refute_0_2836,plain,
join(one,complement(top)) = join(one,complement(top)),
introduced(tautology,[refl,[$fot(join(one,complement(top)))]]) ).
cnf(refute_0_2837,plain,
( complement(top) != zero
| join(one,complement(top)) != join(one,complement(top))
| join(one,complement(top)) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(top)),join(one,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2838,plain,
( complement(top) != zero
| join(one,complement(top)) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,complement(top)),join(one,complement(top))) )],[refute_0_2836,refute_0_2837]) ).
cnf(refute_0_2839,plain,
join(one,complement(top)) = join(one,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2838]) ).
cnf(refute_0_2840,plain,
( join(one,complement(top)) != join(one,zero)
| join(one,zero) != one
| join(one,complement(top)) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,complement(top)))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2841,plain,
( join(one,zero) != one
| join(one,complement(top)) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(top)),join(one,zero)) )],[refute_0_2839,refute_0_2840]) ).
cnf(refute_0_2842,plain,
join(one,complement(top)) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_2835,refute_0_2841]) ).
cnf(refute_0_2843,plain,
meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2844,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) != meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))
| meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2845,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))) )],[refute_0_2843,refute_0_2844]) ).
cnf(refute_0_2846,plain,
meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,complement(top)),one) )],[refute_0_2842,refute_0_2845]) ).
cnf(refute_0_2847,plain,
( meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) != meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))
| meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) != meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))
| meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2848,plain,
( meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) != meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))
| meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))) )],[refute_0_2846,refute_0_2847]) ).
cnf(refute_0_2849,plain,
meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))) )],[refute_0_2834,refute_0_2848]) ).
cnf(refute_0_2850,plain,
meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) = meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(one,complement(top)))),bind(X_25,$fot(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_2851,plain,
( meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) != meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))
| meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) != meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))
| meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_2852,plain,
( meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))) != meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))
| meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))),meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))))) )],[refute_0_2850,refute_0_2851]) ).
cnf(refute_0_2853,plain,
meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0))))),meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))) )],[refute_0_2849,refute_0_2852]) ).
cnf(refute_0_2854,plain,
( meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)) != meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top)))
| meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))) != meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))
| meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)),meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))) ),[0],$fot(meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))))]]) ).
cnf(refute_0_2855,plain,
( meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)) != meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top)))
| meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top))),meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)))) )],[refute_0_2853,refute_0_2854]) ).
cnf(refute_0_2856,plain,
( complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))) != meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top)))
| meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)),meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top)))) )],[refute_0_2830,refute_0_2855]) ).
cnf(refute_0_2857,plain,
meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0)) = meet(one,meet(complement(X_287),join(X_287,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),meet(complement(join(X_287,complement(join(X_287,skolemFOFtoCNF_X0)))),join(one,complement(top)))) )],[refute_0_2827,refute_0_2856]) ).
cnf(refute_0_2858,plain,
meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)) = meet(one,meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2857:[bind(X_287,$fot(X_568))]]) ).
cnf(refute_0_2859,plain,
join(skolemFOFtoCNF_X0,X_568) = join(X_568,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_49:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_568))]]) ).
cnf(refute_0_2860,plain,
( join(skolemFOFtoCNF_X0,X_568) != join(X_568,skolemFOFtoCNF_X0)
| join(X_568,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_568) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,X_568))),bind(Y,$fot(join(X_568,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_2861,plain,
join(X_568,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_568),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_568),join(X_568,skolemFOFtoCNF_X0)) )],[refute_0_2859,refute_0_2860]) ).
cnf(refute_0_2862,plain,
( join(X_568,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_568)
| meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)) != meet(one,meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)))
| meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)) = meet(one,meet(complement(X_568),join(skolemFOFtoCNF_X0,X_568))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)),meet(one,meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)))) ),[1,1,1],$fot(join(skolemFOFtoCNF_X0,X_568))]]) ).
cnf(refute_0_2863,plain,
( meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)) != meet(one,meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)))
| meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)) = meet(one,meet(complement(X_568),join(skolemFOFtoCNF_X0,X_568))) ),
inference(resolve,[$cnf( $equal(join(X_568,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_568)) )],[refute_0_2861,refute_0_2862]) ).
cnf(refute_0_2864,plain,
meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)) = meet(one,meet(complement(X_568),join(skolemFOFtoCNF_X0,X_568))),
inference(resolve,[$cnf( $equal(meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)),meet(one,meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)))) )],[refute_0_2858,refute_0_2863]) ).
cnf(refute_0_2865,plain,
( meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)) != meet(one,meet(complement(X_568),join(skolemFOFtoCNF_X0,X_568)))
| meet(one,meet(complement(X_568),join(skolemFOFtoCNF_X0,X_568))) = meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,meet(complement(X_568),join(skolemFOFtoCNF_X0,X_568)))))]]) ).
cnf(refute_0_2866,plain,
meet(one,meet(complement(X_568),join(skolemFOFtoCNF_X0,X_568))) = meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(X_568),join(X_568,skolemFOFtoCNF_X0)),meet(one,meet(complement(X_568),join(skolemFOFtoCNF_X0,X_568)))) )],[refute_0_2864,refute_0_2865]) ).
cnf(refute_0_2867,plain,
meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2866:[bind(X_568,$fot(X_763))]]) ).
cnf(refute_0_2868,plain,
meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))]]) ).
cnf(refute_0_2869,plain,
( complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))
| meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) != meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))
| meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))) ),[1,1],$fot(meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)))]]) ).
cnf(refute_0_2870,plain,
( complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))
| meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))) )],[refute_0_2868,refute_0_2869]) ).
cnf(refute_0_2871,plain,
meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))),
inference(resolve,[$cnf( $equal(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) )],[refute_0_2779,refute_0_2870]) ).
cnf(refute_0_2872,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_2873,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_2874,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_2872,refute_0_2873]) ).
cnf(refute_0_2875,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_2874]) ).
cnf(refute_0_2876,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_2877,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_2875,refute_0_2876]) ).
cnf(refute_0_2878,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_2877]) ).
cnf(refute_0_2879,plain,
join(one,complement(converse(top))) = join(one,complement(converse(top))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(top))))]]) ).
cnf(refute_0_2880,plain,
( complement(converse(top)) != zero
| join(one,complement(converse(top))) != join(one,complement(converse(top)))
| join(one,complement(converse(top))) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2881,plain,
( complement(converse(top)) != zero
| join(one,complement(converse(top))) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,complement(converse(top)))) )],[refute_0_2879,refute_0_2880]) ).
cnf(refute_0_2882,plain,
join(one,complement(converse(top))) = join(one,zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_2881]) ).
cnf(refute_0_2883,plain,
( join(one,complement(converse(top))) != join(one,zero)
| join(one,zero) != one
| join(one,complement(converse(top))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,complement(converse(top))))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2884,plain,
( join(one,zero) != one
| join(one,complement(converse(top))) = one ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),join(one,zero)) )],[refute_0_2882,refute_0_2883]) ).
cnf(refute_0_2885,plain,
join(one,complement(converse(top))) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_2835,refute_0_2884]) ).
cnf(refute_0_2886,plain,
converse(join(one,complement(converse(top)))) = converse(join(one,complement(converse(top)))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(top)))))]]) ).
cnf(refute_0_2887,plain,
( converse(join(one,complement(converse(top)))) != converse(join(one,complement(converse(top))))
| join(one,complement(converse(top))) != one
| converse(join(one,complement(converse(top)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2888,plain,
( join(one,complement(converse(top))) != one
| converse(join(one,complement(converse(top)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(join(one,complement(converse(top))))) )],[refute_0_2886,refute_0_2887]) ).
cnf(refute_0_2889,plain,
converse(join(one,complement(converse(top)))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(converse(top))),one) )],[refute_0_2885,refute_0_2888]) ).
cnf(refute_0_2890,plain,
( converse(join(one,complement(converse(top)))) != converse(one)
| converse(one) != one
| converse(join(one,complement(converse(top)))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,complement(converse(top)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_2891,plain,
( converse(one) != one
| converse(join(one,complement(converse(top)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),converse(one)) )],[refute_0_2889,refute_0_2890]) ).
cnf(refute_0_2892,plain,
converse(join(one,complement(converse(top)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_2891]) ).
cnf(refute_0_2893,plain,
meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),
introduced(tautology,[refl,[$fot(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))]]) ).
cnf(refute_0_2894,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) != meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))
| meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_2895,plain,
( converse(join(one,complement(converse(top)))) != one
| meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))) )],[refute_0_2893,refute_0_2894]) ).
cnf(refute_0_2896,plain,
meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(top)))),one) )],[refute_0_2892,refute_0_2895]) ).
cnf(refute_0_2897,plain,
( meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) != meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))
| meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) != meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)))
| meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))),bind(Y,$fot(meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))),bind(Z,$fot(meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)))))]]) ).
cnf(refute_0_2898,plain,
( meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) != meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)))
| meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))) )],[refute_0_2896,refute_0_2897]) ).
cnf(refute_0_2899,plain,
meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)))) )],[refute_0_2871,refute_0_2898]) ).
cnf(refute_0_2900,plain,
( meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) != meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)))
| meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) != meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))
| meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))),bind(Y,$fot(meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))))),bind(Z,$fot(meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2901,plain,
( meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))) != meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))
| meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)))) )],[refute_0_2899,refute_0_2900]) ).
cnf(refute_0_2902,plain,
meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763))),meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))) )],[refute_0_2867,refute_0_2901]) ).
cnf(refute_0_2903,plain,
meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) = meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(join(one,complement(converse(top)))))),bind(X_25,$fot(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))]]) ).
cnf(refute_0_2904,plain,
( meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) != meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))
| meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) != meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))
| meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))))),bind(Y,$fot(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))))),bind(Z,$fot(meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2905,plain,
( meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))) != meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))
| meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))),meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))))) )],[refute_0_2903,refute_0_2904]) ).
cnf(refute_0_2906,plain,
meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(converse(join(one,complement(converse(top)))),complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763))))),meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))) )],[refute_0_2902,refute_0_2905]) ).
cnf(refute_0_2907,plain,
( meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)) != meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top)))))
| meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))) != meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))
| meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)),meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))) ),[0],$fot(meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))))]]) ).
cnf(refute_0_2908,plain,
( meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)) != meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top)))))
| meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top))))),meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0))) )],[refute_0_2906,refute_0_2907]) ).
cnf(refute_0_2909,plain,
( complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))) != meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top)))))
| meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)),meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top)))))) )],[refute_0_2781,refute_0_2908]) ).
cnf(refute_0_2910,plain,
meet(complement(X_763),join(skolemFOFtoCNF_X0,X_763)) = meet(complement(X_763),join(X_763,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),meet(complement(join(X_763,complement(join(skolemFOFtoCNF_X0,X_763)))),converse(join(one,complement(converse(top)))))) )],[refute_0_2778,refute_0_2909]) ).
cnf(refute_0_2911,plain,
meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)) = meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2910:[bind(X_763,$fot(X_770))]]) ).
cnf(refute_0_2912,plain,
( meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)) != meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0))
| meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))),bind(Y,$fot(meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_2913,plain,
meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),
inference(resolve,[$cnf( $equal(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0))) )],[refute_0_2911,refute_0_2912]) ).
cnf(refute_0_2914,plain,
( join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(complement(complement(X_770)),meet(meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)) != meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))
| join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) = join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),meet(meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) ),[1,1,0],$fot(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))]]) ).
cnf(refute_0_2915,plain,
( join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(complement(complement(X_770)),meet(meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) = join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) )],[refute_0_2913,refute_0_2914]) ).
cnf(refute_0_2916,plain,
join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) = join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),meet(meet(complement(X_770),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) )],[refute_0_368,refute_0_2915]) ).
cnf(refute_0_2917,plain,
join(X_770,X_770) = X_770,
inference(subst,[],[refute_0_1844:[bind(X0,$fot(X_770))]]) ).
cnf(refute_0_2918,plain,
complement(complement(X_770)) = X_770,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_770))]]) ).
cnf(refute_0_2919,plain,
join(X_770,complement(complement(X_770))) = join(X_770,complement(complement(X_770))),
introduced(tautology,[refl,[$fot(join(X_770,complement(complement(X_770))))]]) ).
cnf(refute_0_2920,plain,
( complement(complement(X_770)) != X_770
| join(X_770,complement(complement(X_770))) != join(X_770,complement(complement(X_770)))
| join(X_770,complement(complement(X_770))) = join(X_770,X_770) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_770,complement(complement(X_770))),join(X_770,complement(complement(X_770)))) ),[1,1],$fot(X_770)]]) ).
cnf(refute_0_2921,plain,
( complement(complement(X_770)) != X_770
| join(X_770,complement(complement(X_770))) = join(X_770,X_770) ),
inference(resolve,[$cnf( $equal(join(X_770,complement(complement(X_770))),join(X_770,complement(complement(X_770)))) )],[refute_0_2919,refute_0_2920]) ).
cnf(refute_0_2922,plain,
join(X_770,complement(complement(X_770))) = join(X_770,X_770),
inference(resolve,[$cnf( $equal(complement(complement(X_770)),X_770) )],[refute_0_2918,refute_0_2921]) ).
cnf(refute_0_2923,plain,
( join(X_770,X_770) != X_770
| join(X_770,complement(complement(X_770))) != join(X_770,X_770)
| join(X_770,complement(complement(X_770))) = X_770 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_770,complement(complement(X_770))))),bind(Y,$fot(join(X_770,X_770))),bind(Z,$fot(X_770))]]) ).
cnf(refute_0_2924,plain,
( join(X_770,X_770) != X_770
| join(X_770,complement(complement(X_770))) = X_770 ),
inference(resolve,[$cnf( $equal(join(X_770,complement(complement(X_770))),join(X_770,X_770)) )],[refute_0_2922,refute_0_2923]) ).
cnf(refute_0_2925,plain,
join(X_770,complement(complement(X_770))) = X_770,
inference(resolve,[$cnf( $equal(join(X_770,X_770),X_770) )],[refute_0_2917,refute_0_2924]) ).
cnf(refute_0_2926,plain,
join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))) = join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))))]]) ).
cnf(refute_0_2927,plain,
( join(X_770,complement(complement(X_770))) != X_770
| join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))) != join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770))))
| join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))) = join(skolemFOFtoCNF_X0,X_770) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))),join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770))))) ),[1,1],$fot(X_770)]]) ).
cnf(refute_0_2928,plain,
( join(X_770,complement(complement(X_770))) != X_770
| join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))) = join(skolemFOFtoCNF_X0,X_770) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))),join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770))))) )],[refute_0_2926,refute_0_2927]) ).
cnf(refute_0_2929,plain,
join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))) = join(skolemFOFtoCNF_X0,X_770),
inference(resolve,[$cnf( $equal(join(X_770,complement(complement(X_770))),X_770) )],[refute_0_2925,refute_0_2928]) ).
cnf(refute_0_2930,plain,
join(X0,join(X_63,X_64)) = join(join(X_63,X_64),X0),
inference(subst,[],[refute_0_49:[bind(X1,$fot(join(X_63,X_64)))]]) ).
cnf(refute_0_2931,plain,
join(X_63,join(X_64,X0)) = join(join(X_63,X_64),X0),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_63)),bind(X1,$fot(X_64)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_2932,plain,
( join(X_63,join(X_64,X0)) != join(join(X_63,X_64),X0)
| join(join(X_63,X_64),X0) = join(X_63,join(X_64,X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_63,join(X_64,X0)))),bind(Y,$fot(join(join(X_63,X_64),X0)))]]) ).
cnf(refute_0_2933,plain,
join(join(X_63,X_64),X0) = join(X_63,join(X_64,X0)),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,X0)),join(join(X_63,X_64),X0)) )],[refute_0_2931,refute_0_2932]) ).
cnf(refute_0_2934,plain,
( join(X0,join(X_63,X_64)) != join(join(X_63,X_64),X0)
| join(join(X_63,X_64),X0) != join(X_63,join(X_64,X0))
| join(X0,join(X_63,X_64)) = join(X_63,join(X_64,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_63,X_64)),join(X_63,join(X_64,X0))) ),[0],$fot(join(join(X_63,X_64),X0))]]) ).
cnf(refute_0_2935,plain,
( join(X0,join(X_63,X_64)) != join(join(X_63,X_64),X0)
| join(X0,join(X_63,X_64)) = join(X_63,join(X_64,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_63,X_64),X0),join(X_63,join(X_64,X0))) )],[refute_0_2933,refute_0_2934]) ).
cnf(refute_0_2936,plain,
join(X0,join(X_63,X_64)) = join(X_63,join(X_64,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_63,X_64)),join(join(X_63,X_64),X0)) )],[refute_0_2930,refute_0_2935]) ).
cnf(refute_0_2937,plain,
join(X_63,join(X_64,X0)) = join(X_64,join(X_63,X0)),
inference(subst,[],[refute_0_1275:[bind(X_65,$fot(X0))]]) ).
cnf(refute_0_2938,plain,
( join(X0,join(X_63,X_64)) != join(X_63,join(X_64,X0))
| join(X_63,join(X_64,X0)) != join(X_64,join(X_63,X0))
| join(X0,join(X_63,X_64)) = join(X_64,join(X_63,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_63,X_64)),join(X_64,join(X_63,X0))) ),[0],$fot(join(X_63,join(X_64,X0)))]]) ).
cnf(refute_0_2939,plain,
( join(X0,join(X_63,X_64)) != join(X_63,join(X_64,X0))
| join(X0,join(X_63,X_64)) = join(X_64,join(X_63,X0)) ),
inference(resolve,[$cnf( $equal(join(X_63,join(X_64,X0)),join(X_64,join(X_63,X0))) )],[refute_0_2937,refute_0_2938]) ).
cnf(refute_0_2940,plain,
join(X0,join(X_63,X_64)) = join(X_64,join(X_63,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_63,X_64)),join(X_63,join(X_64,X0))) )],[refute_0_2936,refute_0_2939]) ).
cnf(refute_0_2941,plain,
( join(X0,join(X_63,X_64)) != join(X_64,join(X_63,X0))
| join(X_64,join(X_63,X0)) = join(X0,join(X_63,X_64)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X_63,X_64)))),bind(Y,$fot(join(X_64,join(X_63,X0))))]]) ).
cnf(refute_0_2942,plain,
join(X_64,join(X_63,X0)) = join(X0,join(X_63,X_64)),
inference(resolve,[$cnf( $equal(join(X0,join(X_63,X_64)),join(X_64,join(X_63,X0))) )],[refute_0_2940,refute_0_2941]) ).
cnf(refute_0_2943,plain,
join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))),
inference(subst,[],[refute_0_2942:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_63,$fot(X_770)),bind(X_64,$fot(complement(complement(X_770))))]]) ).
cnf(refute_0_2944,plain,
( join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770))))
| join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))) != join(skolemFOFtoCNF_X0,X_770)
| join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,X_770) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,X_770)))]]) ).
cnf(refute_0_2945,plain,
( join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))) != join(skolemFOFtoCNF_X0,X_770)
| join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,X_770) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770))))) )],[refute_0_2943,refute_0_2944]) ).
cnf(refute_0_2946,plain,
join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,X_770),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_770,complement(complement(X_770)))),join(skolemFOFtoCNF_X0,X_770)) )],[refute_0_2929,refute_0_2945]) ).
cnf(refute_0_2947,plain,
( join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,X_770)
| join(skolemFOFtoCNF_X0,X_770) = join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X0,X_770))]]) ).
cnf(refute_0_2948,plain,
( join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,X_770) = join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,X_770)) )],[refute_0_2946,refute_0_2947]) ).
cnf(refute_0_2949,plain,
join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_2950,plain,
meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(X2)),bind(X_25,$fot(composition(X0,meet(X1,composition(converse(X0),X2)))))]]) ).
cnf(refute_0_2951,plain,
join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),
introduced(tautology,[refl,[$fot(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)))]]) ).
cnf(refute_0_2952,plain,
( join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))
| meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) != meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))
| join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))) ),[1,1],$fot(meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))]]) ).
cnf(refute_0_2953,plain,
( meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) != meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))
| join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))) )],[refute_0_2951,refute_0_2952]) ).
cnf(refute_0_2954,plain,
join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))),
inference(resolve,[$cnf( $equal(meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) )],[refute_0_2950,refute_0_2953]) ).
cnf(refute_0_2955,plain,
( join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))
| join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) ),[0],$fot(join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))))]]) ).
cnf(refute_0_2956,plain,
( join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))) )],[refute_0_2954,refute_0_2955]) ).
cnf(refute_0_2957,plain,
( join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2) != meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) ),[0],$fot(meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))]]) ).
cnf(refute_0_2958,plain,
( join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))) ),
inference(resolve,[$cnf( $equal(meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) )],[refute_0_2950,refute_0_2957]) ).
cnf(refute_0_2959,plain,
( join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) != meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)
| join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) )],[refute_0_2956,refute_0_2958]) ).
cnf(refute_0_2960,plain,
join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2))))) = meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))),
inference(resolve,[$cnf( $equal(join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) )],[refute_0_2949,refute_0_2959]) ).
cnf(refute_0_2961,plain,
join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) = meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))),
inference(subst,[],[refute_0_2960:[bind(X0,$fot(one)),bind(X1,$fot(X_672)),bind(X2,$fot(X_673))]]) ).
cnf(refute_0_2962,plain,
( converse(one) != one
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) != meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) ),[0,1,1,1,1,0],$fot(one)]]) ).
cnf(refute_0_2963,plain,
( join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) != meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_2962]) ).
cnf(refute_0_2964,plain,
join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))),
inference(resolve,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) )],[refute_0_2961,refute_0_2963]) ).
cnf(refute_0_2965,plain,
join(meet(X_55,X_54),join(meet(X_55,X_54),meet(complement(X_55),X_54))) = join(meet(X_55,X_54),meet(complement(X_55),X_54)),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(meet(X_55,X_54))),bind(X_139,$fot(meet(complement(X_55),X_54)))]]) ).
cnf(refute_0_2966,plain,
X_54 = join(meet(X_54,X_55),complement(join(X_55,complement(X_54)))),
inference(subst,[],[refute_0_336:[bind(X_31,$fot(X_54)),bind(X_32,$fot(X_55))]]) ).
cnf(refute_0_2967,plain,
meet(X_55,X_54) = meet(X_54,X_55),
inference(subst,[],[refute_0_352:[bind(X_24,$fot(X_55)),bind(X_25,$fot(X_54))]]) ).
cnf(refute_0_2968,plain,
( meet(X_55,X_54) != meet(X_54,X_55)
| meet(X_54,X_55) = meet(X_55,X_54) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_55,X_54))),bind(Y,$fot(meet(X_54,X_55)))]]) ).
cnf(refute_0_2969,plain,
meet(X_54,X_55) = meet(X_55,X_54),
inference(resolve,[$cnf( $equal(meet(X_55,X_54),meet(X_54,X_55)) )],[refute_0_2967,refute_0_2968]) ).
cnf(refute_0_2970,plain,
( X_54 != join(meet(X_54,X_55),complement(join(X_55,complement(X_54))))
| meet(X_54,X_55) != meet(X_55,X_54)
| X_54 = join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_54,join(meet(X_54,X_55),complement(join(X_55,complement(X_54))))) ),[1,0],$fot(meet(X_55,X_54))]]) ).
cnf(refute_0_2971,plain,
( X_54 != join(meet(X_54,X_55),complement(join(X_55,complement(X_54))))
| X_54 = join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))) ),
inference(resolve,[$cnf( $equal(meet(X_54,X_55),meet(X_55,X_54)) )],[refute_0_2969,refute_0_2970]) ).
cnf(refute_0_2972,plain,
X_54 = join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))),
inference(resolve,[$cnf( $equal(X_54,join(meet(X_54,X_55),complement(join(X_55,complement(X_54))))) )],[refute_0_2966,refute_0_2971]) ).
cnf(refute_0_2973,plain,
complement(join(X_55,complement(X_54))) = meet(complement(X_55),X_54),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(X_54)),bind(X_27,$fot(X_55))]]) ).
cnf(refute_0_2974,plain,
join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))) = join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))),
introduced(tautology,[refl,[$fot(join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))))]]) ).
cnf(refute_0_2975,plain,
( complement(join(X_55,complement(X_54))) != meet(complement(X_55),X_54)
| join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))) != join(meet(X_55,X_54),complement(join(X_55,complement(X_54))))
| join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))) = join(meet(X_55,X_54),meet(complement(X_55),X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))),join(meet(X_55,X_54),complement(join(X_55,complement(X_54))))) ),[1,1],$fot(meet(complement(X_55),X_54))]]) ).
cnf(refute_0_2976,plain,
( complement(join(X_55,complement(X_54))) != meet(complement(X_55),X_54)
| join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))) = join(meet(X_55,X_54),meet(complement(X_55),X_54)) ),
inference(resolve,[$cnf( $equal(join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))),join(meet(X_55,X_54),complement(join(X_55,complement(X_54))))) )],[refute_0_2974,refute_0_2975]) ).
cnf(refute_0_2977,plain,
join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))) = join(meet(X_55,X_54),meet(complement(X_55),X_54)),
inference(resolve,[$cnf( $equal(complement(join(X_55,complement(X_54))),meet(complement(X_55),X_54)) )],[refute_0_2973,refute_0_2976]) ).
cnf(refute_0_2978,plain,
( X_54 != join(meet(X_55,X_54),complement(join(X_55,complement(X_54))))
| join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))) != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| X_54 = join(meet(X_55,X_54),meet(complement(X_55),X_54)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_54,join(meet(X_55,X_54),meet(complement(X_55),X_54))) ),[0],$fot(join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))))]]) ).
cnf(refute_0_2979,plain,
( X_54 != join(meet(X_55,X_54),complement(join(X_55,complement(X_54))))
| X_54 = join(meet(X_55,X_54),meet(complement(X_55),X_54)) ),
inference(resolve,[$cnf( $equal(join(meet(X_55,X_54),complement(join(X_55,complement(X_54)))),join(meet(X_55,X_54),meet(complement(X_55),X_54))) )],[refute_0_2977,refute_0_2978]) ).
cnf(refute_0_2980,plain,
X_54 = join(meet(X_55,X_54),meet(complement(X_55),X_54)),
inference(resolve,[$cnf( $equal(X_54,join(meet(X_55,X_54),complement(join(X_55,complement(X_54))))) )],[refute_0_2972,refute_0_2979]) ).
cnf(refute_0_2981,plain,
( X_54 != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| join(meet(X_55,X_54),meet(complement(X_55),X_54)) = X_54 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_54)),bind(Y,$fot(join(meet(X_55,X_54),meet(complement(X_55),X_54))))]]) ).
cnf(refute_0_2982,plain,
join(meet(X_55,X_54),meet(complement(X_55),X_54)) = X_54,
inference(resolve,[$cnf( $equal(X_54,join(meet(X_55,X_54),meet(complement(X_55),X_54))) )],[refute_0_2980,refute_0_2981]) ).
cnf(refute_0_2983,plain,
( join(meet(X_55,X_54),join(meet(X_55,X_54),meet(complement(X_55),X_54))) != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| join(meet(X_55,X_54),meet(complement(X_55),X_54)) != X_54
| join(meet(X_55,X_54),X_54) = join(meet(X_55,X_54),meet(complement(X_55),X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_55,X_54),join(meet(X_55,X_54),meet(complement(X_55),X_54))),join(meet(X_55,X_54),meet(complement(X_55),X_54))) ),[0,1],$fot(X_54)]]) ).
cnf(refute_0_2984,plain,
( join(meet(X_55,X_54),join(meet(X_55,X_54),meet(complement(X_55),X_54))) != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| join(meet(X_55,X_54),X_54) = join(meet(X_55,X_54),meet(complement(X_55),X_54)) ),
inference(resolve,[$cnf( $equal(join(meet(X_55,X_54),meet(complement(X_55),X_54)),X_54) )],[refute_0_2982,refute_0_2983]) ).
cnf(refute_0_2985,plain,
join(meet(X_55,X_54),X_54) = join(meet(X_55,X_54),meet(complement(X_55),X_54)),
inference(resolve,[$cnf( $equal(join(meet(X_55,X_54),join(meet(X_55,X_54),meet(complement(X_55),X_54))),join(meet(X_55,X_54),meet(complement(X_55),X_54))) )],[refute_0_2965,refute_0_2984]) ).
cnf(refute_0_2986,plain,
join(meet(X_55,X_54),X_54) = join(X_54,meet(X_55,X_54)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(X_54)),bind(X1,$fot(meet(X_55,X_54)))]]) ).
cnf(refute_0_2987,plain,
( join(meet(X_55,X_54),X_54) != join(X_54,meet(X_55,X_54))
| join(meet(X_55,X_54),X_54) != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| join(X_54,meet(X_55,X_54)) = join(meet(X_55,X_54),meet(complement(X_55),X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_55,X_54),X_54),join(meet(X_55,X_54),meet(complement(X_55),X_54))) ),[0],$fot(join(X_54,meet(X_55,X_54)))]]) ).
cnf(refute_0_2988,plain,
( join(meet(X_55,X_54),X_54) != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| join(X_54,meet(X_55,X_54)) = join(meet(X_55,X_54),meet(complement(X_55),X_54)) ),
inference(resolve,[$cnf( $equal(join(meet(X_55,X_54),X_54),join(X_54,meet(X_55,X_54))) )],[refute_0_2986,refute_0_2987]) ).
cnf(refute_0_2989,plain,
( join(X_54,meet(X_55,X_54)) != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| join(meet(X_55,X_54),meet(complement(X_55),X_54)) != X_54
| join(X_54,meet(X_55,X_54)) = X_54 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_54,meet(X_55,X_54)),X_54) ),[0],$fot(join(meet(X_55,X_54),meet(complement(X_55),X_54)))]]) ).
cnf(refute_0_2990,plain,
( join(X_54,meet(X_55,X_54)) != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| join(X_54,meet(X_55,X_54)) = X_54 ),
inference(resolve,[$cnf( $equal(join(meet(X_55,X_54),meet(complement(X_55),X_54)),X_54) )],[refute_0_2982,refute_0_2989]) ).
cnf(refute_0_2991,plain,
( join(meet(X_55,X_54),X_54) != join(meet(X_55,X_54),meet(complement(X_55),X_54))
| join(X_54,meet(X_55,X_54)) = X_54 ),
inference(resolve,[$cnf( $equal(join(X_54,meet(X_55,X_54)),join(meet(X_55,X_54),meet(complement(X_55),X_54))) )],[refute_0_2988,refute_0_2990]) ).
cnf(refute_0_2992,plain,
join(X_54,meet(X_55,X_54)) = X_54,
inference(resolve,[$cnf( $equal(join(meet(X_55,X_54),X_54),join(meet(X_55,X_54),meet(complement(X_55),X_54))) )],[refute_0_2985,refute_0_2991]) ).
cnf(refute_0_2993,plain,
join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) = meet(X_672,X_673),
inference(subst,[],[refute_0_2992:[bind(X_54,$fot(meet(X_672,X_673))),bind(X_55,$fot(X_673))]]) ).
cnf(refute_0_2994,plain,
composition(one,X_673) = X_673,
inference(subst,[],[refute_0_96:[bind(X_15,$fot(X_673))]]) ).
cnf(refute_0_2995,plain,
meet(X_672,composition(one,X_673)) = meet(X_672,composition(one,X_673)),
introduced(tautology,[refl,[$fot(meet(X_672,composition(one,X_673)))]]) ).
cnf(refute_0_2996,plain,
( composition(one,X_673) != X_673
| meet(X_672,composition(one,X_673)) != meet(X_672,composition(one,X_673))
| meet(X_672,composition(one,X_673)) = meet(X_672,X_673) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_672,composition(one,X_673)),meet(X_672,composition(one,X_673))) ),[1,1],$fot(X_673)]]) ).
cnf(refute_0_2997,plain,
( composition(one,X_673) != X_673
| meet(X_672,composition(one,X_673)) = meet(X_672,X_673) ),
inference(resolve,[$cnf( $equal(meet(X_672,composition(one,X_673)),meet(X_672,composition(one,X_673))) )],[refute_0_2995,refute_0_2996]) ).
cnf(refute_0_2998,plain,
meet(X_672,composition(one,X_673)) = meet(X_672,X_673),
inference(resolve,[$cnf( $equal(composition(one,X_673),X_673) )],[refute_0_2994,refute_0_2997]) ).
cnf(refute_0_2999,plain,
composition(one,meet(X_672,composition(one,X_673))) = meet(X_672,composition(one,X_673)),
inference(subst,[],[refute_0_96:[bind(X_15,$fot(meet(X_672,composition(one,X_673))))]]) ).
cnf(refute_0_3000,plain,
( composition(one,meet(X_672,composition(one,X_673))) != meet(X_672,composition(one,X_673))
| meet(X_672,composition(one,X_673)) != meet(X_672,X_673)
| composition(one,meet(X_672,composition(one,X_673))) = meet(X_672,X_673) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(one,meet(X_672,composition(one,X_673))))),bind(Y,$fot(meet(X_672,composition(one,X_673)))),bind(Z,$fot(meet(X_672,X_673)))]]) ).
cnf(refute_0_3001,plain,
( meet(X_672,composition(one,X_673)) != meet(X_672,X_673)
| composition(one,meet(X_672,composition(one,X_673))) = meet(X_672,X_673) ),
inference(resolve,[$cnf( $equal(composition(one,meet(X_672,composition(one,X_673))),meet(X_672,composition(one,X_673))) )],[refute_0_2999,refute_0_3000]) ).
cnf(refute_0_3002,plain,
composition(one,meet(X_672,composition(one,X_673))) = meet(X_672,X_673),
inference(resolve,[$cnf( $equal(meet(X_672,composition(one,X_673)),meet(X_672,X_673)) )],[refute_0_2998,refute_0_3001]) ).
cnf(refute_0_3003,plain,
meet(X_673,composition(one,meet(X_672,composition(one,X_673)))) = meet(X_673,composition(one,meet(X_672,composition(one,X_673)))),
introduced(tautology,[refl,[$fot(meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))]]) ).
cnf(refute_0_3004,plain,
( composition(one,meet(X_672,composition(one,X_673))) != meet(X_672,X_673)
| meet(X_673,composition(one,meet(X_672,composition(one,X_673)))) != meet(X_673,composition(one,meet(X_672,composition(one,X_673))))
| meet(X_673,composition(one,meet(X_672,composition(one,X_673)))) = meet(X_673,meet(X_672,X_673)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_673,composition(one,meet(X_672,composition(one,X_673)))),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) ),[1,1],$fot(meet(X_672,X_673))]]) ).
cnf(refute_0_3005,plain,
( composition(one,meet(X_672,composition(one,X_673))) != meet(X_672,X_673)
| meet(X_673,composition(one,meet(X_672,composition(one,X_673)))) = meet(X_673,meet(X_672,X_673)) ),
inference(resolve,[$cnf( $equal(meet(X_673,composition(one,meet(X_672,composition(one,X_673)))),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) )],[refute_0_3003,refute_0_3004]) ).
cnf(refute_0_3006,plain,
meet(X_673,composition(one,meet(X_672,composition(one,X_673)))) = meet(X_673,meet(X_672,X_673)),
inference(resolve,[$cnf( $equal(composition(one,meet(X_672,composition(one,X_673))),meet(X_672,X_673)) )],[refute_0_3002,refute_0_3005]) ).
cnf(refute_0_3007,plain,
join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),
introduced(tautology,[refl,[$fot(join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))))]]) ).
cnf(refute_0_3008,plain,
( join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))
| meet(X_673,composition(one,meet(X_672,composition(one,X_673)))) != meet(X_673,meet(X_672,X_673))
| join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))) ),[1,1],$fot(meet(X_673,meet(X_672,X_673)))]]) ).
cnf(refute_0_3009,plain,
( meet(X_673,composition(one,meet(X_672,composition(one,X_673)))) != meet(X_673,meet(X_672,X_673))
| join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) ),
inference(resolve,[$cnf( $equal(join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))) )],[refute_0_3007,refute_0_3008]) ).
cnf(refute_0_3010,plain,
join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))),
inference(resolve,[$cnf( $equal(meet(X_673,composition(one,meet(X_672,composition(one,X_673)))),meet(X_673,meet(X_672,X_673))) )],[refute_0_3006,refute_0_3009]) ).
cnf(refute_0_3011,plain,
composition(one,X_672) = X_672,
inference(subst,[],[refute_0_96:[bind(X_15,$fot(X_672))]]) ).
cnf(refute_0_3012,plain,
meet(composition(one,X_672),X_673) = meet(composition(one,X_672),X_673),
introduced(tautology,[refl,[$fot(meet(composition(one,X_672),X_673))]]) ).
cnf(refute_0_3013,plain,
( composition(one,X_672) != X_672
| meet(composition(one,X_672),X_673) != meet(composition(one,X_672),X_673)
| meet(composition(one,X_672),X_673) = meet(X_672,X_673) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(one,X_672),X_673),meet(composition(one,X_672),X_673)) ),[1,0],$fot(X_672)]]) ).
cnf(refute_0_3014,plain,
( composition(one,X_672) != X_672
| meet(composition(one,X_672),X_673) = meet(X_672,X_673) ),
inference(resolve,[$cnf( $equal(meet(composition(one,X_672),X_673),meet(composition(one,X_672),X_673)) )],[refute_0_3012,refute_0_3013]) ).
cnf(refute_0_3015,plain,
meet(composition(one,X_672),X_673) = meet(X_672,X_673),
inference(resolve,[$cnf( $equal(composition(one,X_672),X_672) )],[refute_0_3011,refute_0_3014]) ).
cnf(refute_0_3016,plain,
join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),
introduced(tautology,[refl,[$fot(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))))]]) ).
cnf(refute_0_3017,plain,
( join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))
| meet(composition(one,X_672),X_673) != meet(X_672,X_673)
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))) ),[1,0],$fot(meet(X_672,X_673))]]) ).
cnf(refute_0_3018,plain,
( meet(composition(one,X_672),X_673) != meet(X_672,X_673)
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))) )],[refute_0_3016,refute_0_3017]) ).
cnf(refute_0_3019,plain,
join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),
inference(resolve,[$cnf( $equal(meet(composition(one,X_672),X_673),meet(X_672,X_673)) )],[refute_0_3015,refute_0_3018]) ).
cnf(refute_0_3020,plain,
( join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673)))
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))))),bind(Y,$fot(join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))))),bind(Z,$fot(join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673)))))]]) ).
cnf(refute_0_3021,plain,
( join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673)))
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673)))))) )],[refute_0_3019,refute_0_3020]) ).
cnf(refute_0_3022,plain,
join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))),
inference(resolve,[$cnf( $equal(join(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673)))) )],[refute_0_3010,refute_0_3021]) ).
cnf(refute_0_3023,plain,
( join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) != meet(X_672,X_673)
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673)))
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = meet(X_672,X_673) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))))),bind(Y,$fot(join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))))),bind(Z,$fot(meet(X_672,X_673)))]]) ).
cnf(refute_0_3024,plain,
( join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) != meet(X_672,X_673)
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = meet(X_672,X_673) ),
inference(resolve,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673)))) )],[refute_0_3022,refute_0_3023]) ).
cnf(refute_0_3025,plain,
join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) = meet(X_672,X_673),
inference(resolve,[$cnf( $equal(join(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))),meet(X_672,X_673)) )],[refute_0_2993,refute_0_3024]) ).
cnf(refute_0_3026,plain,
( join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != meet(X_672,X_673)
| join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))
| meet(X_672,X_673) = meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) ),[0],$fot(meet(X_672,X_673))]]) ).
cnf(refute_0_3027,plain,
( join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))
| meet(X_672,X_673) = meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),meet(X_672,X_673)) )],[refute_0_3025,refute_0_3026]) ).
cnf(refute_0_3028,plain,
composition(converse(one),X_673) = composition(converse(one),X_673),
introduced(tautology,[refl,[$fot(composition(converse(one),X_673))]]) ).
cnf(refute_0_3029,plain,
( composition(converse(one),X_673) != composition(converse(one),X_673)
| converse(one) != one
| composition(converse(one),X_673) = composition(one,X_673) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_673),composition(converse(one),X_673)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3030,plain,
( converse(one) != one
| composition(converse(one),X_673) = composition(one,X_673) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_673),composition(converse(one),X_673)) )],[refute_0_3028,refute_0_3029]) ).
cnf(refute_0_3031,plain,
composition(converse(one),X_673) = composition(one,X_673),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_3030]) ).
cnf(refute_0_3032,plain,
( composition(converse(one),X_673) != composition(one,X_673)
| composition(one,X_673) != X_673
| composition(converse(one),X_673) = X_673 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(one),X_673))),bind(Y,$fot(composition(one,X_673))),bind(Z,$fot(X_673))]]) ).
cnf(refute_0_3033,plain,
( composition(one,X_673) != X_673
| composition(converse(one),X_673) = X_673 ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_673),composition(one,X_673)) )],[refute_0_3031,refute_0_3032]) ).
cnf(refute_0_3034,plain,
composition(converse(one),X_673) = X_673,
inference(resolve,[$cnf( $equal(composition(one,X_673),X_673) )],[refute_0_2994,refute_0_3033]) ).
cnf(refute_0_3035,plain,
meet(X_672,composition(converse(one),X_673)) = meet(X_672,composition(converse(one),X_673)),
introduced(tautology,[refl,[$fot(meet(X_672,composition(converse(one),X_673)))]]) ).
cnf(refute_0_3036,plain,
( composition(converse(one),X_673) != X_673
| meet(X_672,composition(converse(one),X_673)) != meet(X_672,composition(converse(one),X_673))
| meet(X_672,composition(converse(one),X_673)) = meet(X_672,X_673) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_672,composition(converse(one),X_673)),meet(X_672,composition(converse(one),X_673))) ),[1,1],$fot(X_673)]]) ).
cnf(refute_0_3037,plain,
( composition(converse(one),X_673) != X_673
| meet(X_672,composition(converse(one),X_673)) = meet(X_672,X_673) ),
inference(resolve,[$cnf( $equal(meet(X_672,composition(converse(one),X_673)),meet(X_672,composition(converse(one),X_673))) )],[refute_0_3035,refute_0_3036]) ).
cnf(refute_0_3038,plain,
meet(X_672,composition(converse(one),X_673)) = meet(X_672,X_673),
inference(resolve,[$cnf( $equal(composition(converse(one),X_673),X_673) )],[refute_0_3034,refute_0_3037]) ).
cnf(refute_0_3039,plain,
composition(one,meet(X_672,composition(converse(one),X_673))) = meet(X_672,composition(converse(one),X_673)),
inference(subst,[],[refute_0_96:[bind(X_15,$fot(meet(X_672,composition(converse(one),X_673))))]]) ).
cnf(refute_0_3040,plain,
( composition(one,meet(X_672,composition(converse(one),X_673))) != meet(X_672,composition(converse(one),X_673))
| meet(X_672,composition(converse(one),X_673)) != meet(X_672,X_673)
| composition(one,meet(X_672,composition(converse(one),X_673))) = meet(X_672,X_673) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(one,meet(X_672,composition(converse(one),X_673))))),bind(Y,$fot(meet(X_672,composition(converse(one),X_673)))),bind(Z,$fot(meet(X_672,X_673)))]]) ).
cnf(refute_0_3041,plain,
( meet(X_672,composition(converse(one),X_673)) != meet(X_672,X_673)
| composition(one,meet(X_672,composition(converse(one),X_673))) = meet(X_672,X_673) ),
inference(resolve,[$cnf( $equal(composition(one,meet(X_672,composition(converse(one),X_673))),meet(X_672,composition(converse(one),X_673))) )],[refute_0_3039,refute_0_3040]) ).
cnf(refute_0_3042,plain,
composition(one,meet(X_672,composition(converse(one),X_673))) = meet(X_672,X_673),
inference(resolve,[$cnf( $equal(meet(X_672,composition(converse(one),X_673)),meet(X_672,X_673)) )],[refute_0_3038,refute_0_3041]) ).
cnf(refute_0_3043,plain,
meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) = meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))),
introduced(tautology,[refl,[$fot(meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))))]]) ).
cnf(refute_0_3044,plain,
( composition(one,meet(X_672,composition(converse(one),X_673))) != meet(X_672,X_673)
| meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) != meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))
| meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) = meet(X_673,meet(X_672,X_673)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) ),[1,1],$fot(meet(X_672,X_673))]]) ).
cnf(refute_0_3045,plain,
( composition(one,meet(X_672,composition(converse(one),X_673))) != meet(X_672,X_673)
| meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) = meet(X_673,meet(X_672,X_673)) ),
inference(resolve,[$cnf( $equal(meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) )],[refute_0_3043,refute_0_3044]) ).
cnf(refute_0_3046,plain,
meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) = meet(X_673,meet(X_672,X_673)),
inference(resolve,[$cnf( $equal(composition(one,meet(X_672,composition(converse(one),X_673))),meet(X_672,X_673)) )],[refute_0_3042,refute_0_3045]) ).
cnf(refute_0_3047,plain,
( meet(X_672,X_673) != meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))
| meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))) != meet(X_673,meet(X_672,X_673))
| meet(X_672,X_673) = meet(X_673,meet(X_672,X_673)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) ),[0],$fot(meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))))]]) ).
cnf(refute_0_3048,plain,
( meet(X_672,X_673) != meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))
| meet(X_672,X_673) = meet(X_673,meet(X_672,X_673)) ),
inference(resolve,[$cnf( $equal(meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673)))),meet(X_673,meet(X_672,X_673))) )],[refute_0_3046,refute_0_3047]) ).
cnf(refute_0_3049,plain,
( join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))) != meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))
| meet(X_672,X_673) = meet(X_673,meet(X_672,X_673)) ),
inference(resolve,[$cnf( $equal(meet(X_672,X_673),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) )],[refute_0_3027,refute_0_3048]) ).
cnf(refute_0_3050,plain,
meet(X_672,X_673) = meet(X_673,meet(X_672,X_673)),
inference(resolve,[$cnf( $equal(join(meet(composition(one,X_672),X_673),meet(X_673,composition(one,meet(X_672,composition(one,X_673))))),meet(X_673,composition(one,meet(X_672,composition(converse(one),X_673))))) )],[refute_0_2964,refute_0_3049]) ).
cnf(refute_0_3051,plain,
( meet(X_672,X_673) != meet(X_673,meet(X_672,X_673))
| meet(X_673,meet(X_672,X_673)) = meet(X_672,X_673) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_672,X_673))),bind(Y,$fot(meet(X_673,meet(X_672,X_673))))]]) ).
cnf(refute_0_3052,plain,
meet(X_673,meet(X_672,X_673)) = meet(X_672,X_673),
inference(resolve,[$cnf( $equal(meet(X_672,X_673),meet(X_673,meet(X_672,X_673))) )],[refute_0_3050,refute_0_3051]) ).
cnf(refute_0_3053,plain,
meet(join(skolemFOFtoCNF_X0,X_770),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),
inference(subst,[],[refute_0_3052:[bind(X_672,$fot(complement(X_770))),bind(X_673,$fot(join(skolemFOFtoCNF_X0,X_770)))]]) ).
cnf(refute_0_3054,plain,
meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) = meet(join(skolemFOFtoCNF_X0,X_770),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(skolemFOFtoCNF_X0,X_770))),bind(X_25,$fot(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))))]]) ).
cnf(refute_0_3055,plain,
( meet(join(skolemFOFtoCNF_X0,X_770),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) != meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) != meet(join(skolemFOFtoCNF_X0,X_770),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0,X_770),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))))),bind(Z,$fot(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))))]]) ).
cnf(refute_0_3056,plain,
( meet(join(skolemFOFtoCNF_X0,X_770),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) != meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)),meet(join(skolemFOFtoCNF_X0,X_770),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))) )],[refute_0_3054,refute_0_3055]) ).
cnf(refute_0_3057,plain,
meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,X_770),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) )],[refute_0_3053,refute_0_3056]) ).
cnf(refute_0_3058,plain,
meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) = meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3059,plain,
( join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,X_770)
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) != meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) = meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,X_770))]]) ).
cnf(refute_0_3060,plain,
( join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,X_770)
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) = meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) )],[refute_0_3058,refute_0_3059]) ).
cnf(refute_0_3061,plain,
meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) = meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,X_770)) )],[refute_0_2946,refute_0_3060]) ).
cnf(refute_0_3062,plain,
( meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) != meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770))
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) != meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)))),bind(Z,$fot(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))))]]) ).
cnf(refute_0_3063,plain,
( meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)) != meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770))) )],[refute_0_3061,refute_0_3062]) ).
cnf(refute_0_3064,plain,
meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) = meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(skolemFOFtoCNF_X0,X_770)),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) )],[refute_0_3057,refute_0_3063]) ).
cnf(refute_0_3065,plain,
join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3066,plain,
( join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) != join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) != meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))
| join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))]]) ).
cnf(refute_0_3067,plain,
( meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))) != meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))
| join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) ),
inference(resolve,[$cnf( $equal(join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) )],[refute_0_3065,refute_0_3066]) ).
cnf(refute_0_3068,plain,
join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))),
inference(resolve,[$cnf( $equal(meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))),meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) )],[refute_0_3064,refute_0_3067]) ).
cnf(refute_0_3069,plain,
join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3070,plain,
( complement(complement(X_770)) != X_770
| join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) != join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) ),[1,0],$fot(X_770)]]) ).
cnf(refute_0_3071,plain,
( complement(complement(X_770)) != X_770
| join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) )],[refute_0_3069,refute_0_3070]) ).
cnf(refute_0_3072,plain,
join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(X_770)),X_770) )],[refute_0_2918,refute_0_3071]) ).
cnf(refute_0_3073,plain,
( join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) != join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))
| join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) != join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))))]]) ).
cnf(refute_0_3074,plain,
( join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) != join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))
| join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) )],[refute_0_3072,refute_0_3073]) ).
cnf(refute_0_3075,plain,
join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))),
inference(resolve,[$cnf( $equal(join(X_770,meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))) )],[refute_0_3068,refute_0_3074]) ).
cnf(refute_0_3076,plain,
( join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))) != join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))
| join(skolemFOFtoCNF_X0,X_770) != join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,X_770) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_770),join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) ),[1],$fot(join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))))]]) ).
cnf(refute_0_3077,plain,
( join(skolemFOFtoCNF_X0,X_770) != join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,X_770) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)))),join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)))) )],[refute_0_3075,refute_0_3076]) ).
cnf(refute_0_3078,plain,
( join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)) != join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,X_770) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_770),join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) )],[refute_0_2948,refute_0_3077]) ).
cnf(refute_0_3079,plain,
join(skolemFOFtoCNF_X0,X_770) = join(X_770,meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0)),join(complement(complement(X_770)),meet(meet(complement(X_770),join(skolemFOFtoCNF_X0,X_770)),join(complement(complement(X_770)),join(X_770,skolemFOFtoCNF_X0))))) )],[refute_0_2916,refute_0_3078]) ).
cnf(refute_0_3080,plain,
join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_3079:[bind(X_770,$fot(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_3081,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_366:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_3082,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) = complement(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),
inference(subst,[],[refute_0_1181:[bind(X1,$fot(meet(one,composition(skolemFOFtoCNF_X0,top)))),bind(X_27,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3083,plain,
converse(join(join(X_102,X_101),X1)) = join(converse(join(X_102,X_101)),converse(X1)),
inference(subst,[],[refute_0_409:[bind(X0,$fot(join(X_102,X_101)))]]) ).
cnf(refute_0_3084,plain,
( converse(join(X_102,X_101)) != converse(join(X_101,X_102))
| converse(join(join(X_102,X_101),X1)) != join(converse(join(X_102,X_101)),converse(X1))
| converse(join(join(X_102,X_101),X1)) = join(converse(join(X_101,X_102)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_102,X_101),X1)),join(converse(join(X_102,X_101)),converse(X1))) ),[1,0],$fot(converse(join(X_101,X_102)))]]) ).
cnf(refute_0_3085,plain,
( converse(join(join(X_102,X_101),X1)) != join(converse(join(X_102,X_101)),converse(X1))
| converse(join(join(X_102,X_101),X1)) = join(converse(join(X_101,X_102)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_102,X_101)),converse(join(X_101,X_102))) )],[refute_0_2661,refute_0_3084]) ).
cnf(refute_0_3086,plain,
converse(join(join(X_102,X_101),X1)) = join(converse(join(X_101,X_102)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_102,X_101),X1)),join(converse(join(X_102,X_101)),converse(X1))) )],[refute_0_3083,refute_0_3085]) ).
cnf(refute_0_3087,plain,
join(join(X_102,X_101),X1) = join(X_102,join(X_101,X1)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_102)),bind(X1,$fot(X_101)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_3088,plain,
converse(join(join(X_102,X_101),X1)) = converse(join(join(X_102,X_101),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_102,X_101),X1)))]]) ).
cnf(refute_0_3089,plain,
( converse(join(join(X_102,X_101),X1)) != converse(join(join(X_102,X_101),X1))
| join(join(X_102,X_101),X1) != join(X_102,join(X_101,X1))
| converse(join(join(X_102,X_101),X1)) = converse(join(X_102,join(X_101,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_102,X_101),X1)),converse(join(join(X_102,X_101),X1))) ),[1,0],$fot(join(X_102,join(X_101,X1)))]]) ).
cnf(refute_0_3090,plain,
( join(join(X_102,X_101),X1) != join(X_102,join(X_101,X1))
| converse(join(join(X_102,X_101),X1)) = converse(join(X_102,join(X_101,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_102,X_101),X1)),converse(join(join(X_102,X_101),X1))) )],[refute_0_3088,refute_0_3089]) ).
cnf(refute_0_3091,plain,
converse(join(join(X_102,X_101),X1)) = converse(join(X_102,join(X_101,X1))),
inference(resolve,[$cnf( $equal(join(join(X_102,X_101),X1),join(X_102,join(X_101,X1))) )],[refute_0_3087,refute_0_3090]) ).
cnf(refute_0_3092,plain,
( converse(join(join(X_102,X_101),X1)) != converse(join(X_102,join(X_101,X1)))
| converse(join(join(X_102,X_101),X1)) != join(converse(join(X_101,X_102)),converse(X1))
| converse(join(X_102,join(X_101,X1))) = join(converse(join(X_101,X_102)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_102,X_101),X1)),join(converse(join(X_101,X_102)),converse(X1))) ),[0],$fot(converse(join(X_102,join(X_101,X1))))]]) ).
cnf(refute_0_3093,plain,
( converse(join(join(X_102,X_101),X1)) != join(converse(join(X_101,X_102)),converse(X1))
| converse(join(X_102,join(X_101,X1))) = join(converse(join(X_101,X_102)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_102,X_101),X1)),converse(join(X_102,join(X_101,X1)))) )],[refute_0_3091,refute_0_3092]) ).
cnf(refute_0_3094,plain,
join(join(X_101,X_102),X1) = join(X_101,join(X_102,X1)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_101)),bind(X1,$fot(X_102)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_3095,plain,
converse(join(join(X_101,X_102),X1)) = converse(join(join(X_101,X_102),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_101,X_102),X1)))]]) ).
cnf(refute_0_3096,plain,
( converse(join(join(X_101,X_102),X1)) != converse(join(join(X_101,X_102),X1))
| join(join(X_101,X_102),X1) != join(X_101,join(X_102,X1))
| converse(join(join(X_101,X_102),X1)) = converse(join(X_101,join(X_102,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_101,X_102),X1)),converse(join(join(X_101,X_102),X1))) ),[1,0],$fot(join(X_101,join(X_102,X1)))]]) ).
cnf(refute_0_3097,plain,
( join(join(X_101,X_102),X1) != join(X_101,join(X_102,X1))
| converse(join(join(X_101,X_102),X1)) = converse(join(X_101,join(X_102,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_101,X_102),X1)),converse(join(join(X_101,X_102),X1))) )],[refute_0_3095,refute_0_3096]) ).
cnf(refute_0_3098,plain,
converse(join(join(X_101,X_102),X1)) = converse(join(X_101,join(X_102,X1))),
inference(resolve,[$cnf( $equal(join(join(X_101,X_102),X1),join(X_101,join(X_102,X1))) )],[refute_0_3094,refute_0_3097]) ).
cnf(refute_0_3099,plain,
join(converse(join(X_101,X_102)),converse(X1)) = converse(join(join(X_101,X_102),X1)),
inference(subst,[],[refute_0_430:[bind(X0,$fot(join(X_101,X_102)))]]) ).
cnf(refute_0_3100,plain,
( converse(join(join(X_101,X_102),X1)) != converse(join(X_101,join(X_102,X1)))
| join(converse(join(X_101,X_102)),converse(X1)) != converse(join(join(X_101,X_102),X1))
| join(converse(join(X_101,X_102)),converse(X1)) = converse(join(X_101,join(X_102,X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(X_101,X_102)),converse(X1)))),bind(Y,$fot(converse(join(join(X_101,X_102),X1)))),bind(Z,$fot(converse(join(X_101,join(X_102,X1)))))]]) ).
cnf(refute_0_3101,plain,
( converse(join(join(X_101,X_102),X1)) != converse(join(X_101,join(X_102,X1)))
| join(converse(join(X_101,X_102)),converse(X1)) = converse(join(X_101,join(X_102,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_101,X_102)),converse(X1)),converse(join(join(X_101,X_102),X1))) )],[refute_0_3099,refute_0_3100]) ).
cnf(refute_0_3102,plain,
join(converse(join(X_101,X_102)),converse(X1)) = converse(join(X_101,join(X_102,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_101,X_102),X1)),converse(join(X_101,join(X_102,X1)))) )],[refute_0_3098,refute_0_3101]) ).
cnf(refute_0_3103,plain,
( converse(join(X_102,join(X_101,X1))) != join(converse(join(X_101,X_102)),converse(X1))
| join(converse(join(X_101,X_102)),converse(X1)) != converse(join(X_101,join(X_102,X1)))
| converse(join(X_102,join(X_101,X1))) = converse(join(X_101,join(X_102,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_102,join(X_101,X1))),converse(join(X_101,join(X_102,X1)))) ),[0],$fot(join(converse(join(X_101,X_102)),converse(X1)))]]) ).
cnf(refute_0_3104,plain,
( converse(join(X_102,join(X_101,X1))) != join(converse(join(X_101,X_102)),converse(X1))
| converse(join(X_102,join(X_101,X1))) = converse(join(X_101,join(X_102,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_101,X_102)),converse(X1)),converse(join(X_101,join(X_102,X1)))) )],[refute_0_3102,refute_0_3103]) ).
cnf(refute_0_3105,plain,
( converse(join(join(X_102,X_101),X1)) != join(converse(join(X_101,X_102)),converse(X1))
| converse(join(X_102,join(X_101,X1))) = converse(join(X_101,join(X_102,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_102,join(X_101,X1))),join(converse(join(X_101,X_102)),converse(X1))) )],[refute_0_3093,refute_0_3104]) ).
cnf(refute_0_3106,plain,
converse(join(X_102,join(X_101,X1))) = converse(join(X_101,join(X_102,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_102,X_101),X1)),join(converse(join(X_101,X_102)),converse(X1))) )],[refute_0_3086,refute_0_3105]) ).
cnf(refute_0_3107,plain,
converse(join(X_494,join(X_493,converse(complement(converse(X_493)))))) = converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))),
inference(subst,[],[refute_0_3106:[bind(X1,$fot(converse(complement(converse(X_493))))),bind(X_101,$fot(X_493)),bind(X_102,$fot(X_494))]]) ).
cnf(refute_0_3108,plain,
( converse(top) != join(X_10,converse(complement(converse(X_10))))
| converse(top) != top
| top = join(X_10,converse(complement(converse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_10,converse(complement(converse(X_10))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3109,plain,
( converse(top) != join(X_10,converse(complement(converse(X_10))))
| top = join(X_10,converse(complement(converse(X_10)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_3108]) ).
cnf(refute_0_3110,plain,
top = join(X_10,converse(complement(converse(X_10)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_10,converse(complement(converse(X_10))))) )],[refute_0_420,refute_0_3109]) ).
cnf(refute_0_3111,plain,
top = join(X_493,converse(complement(converse(X_493)))),
inference(subst,[],[refute_0_3110:[bind(X_10,$fot(X_493))]]) ).
cnf(refute_0_3112,plain,
( top != join(X_493,converse(complement(converse(X_493))))
| join(X_493,converse(complement(converse(X_493)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X_493,converse(complement(converse(X_493))))))]]) ).
cnf(refute_0_3113,plain,
join(X_493,converse(complement(converse(X_493)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_493,converse(complement(converse(X_493))))) )],[refute_0_3111,refute_0_3112]) ).
cnf(refute_0_3114,plain,
( converse(join(X_494,join(X_493,converse(complement(converse(X_493)))))) != converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))
| join(X_493,converse(complement(converse(X_493)))) != top
| converse(join(X_494,top)) = converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_494,join(X_493,converse(complement(converse(X_493)))))),converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_3115,plain,
( converse(join(X_494,join(X_493,converse(complement(converse(X_493)))))) != converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))
| converse(join(X_494,top)) = converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) ),
inference(resolve,[$cnf( $equal(join(X_493,converse(complement(converse(X_493)))),top) )],[refute_0_3113,refute_0_3114]) ).
cnf(refute_0_3116,plain,
converse(join(X_494,top)) = converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))),
inference(resolve,[$cnf( $equal(converse(join(X_494,join(X_493,converse(complement(converse(X_493)))))),converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))) )],[refute_0_3107,refute_0_3115]) ).
cnf(refute_0_3117,plain,
join(X_494,top) = top,
inference(subst,[],[refute_0_1338:[bind(X_104,$fot(X_494))]]) ).
cnf(refute_0_3118,plain,
converse(join(X_494,top)) = converse(join(X_494,top)),
introduced(tautology,[refl,[$fot(converse(join(X_494,top)))]]) ).
cnf(refute_0_3119,plain,
( converse(join(X_494,top)) != converse(join(X_494,top))
| join(X_494,top) != top
| converse(join(X_494,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_494,top)),converse(join(X_494,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3120,plain,
( join(X_494,top) != top
| converse(join(X_494,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(X_494,top)),converse(join(X_494,top))) )],[refute_0_3118,refute_0_3119]) ).
cnf(refute_0_3121,plain,
converse(join(X_494,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(X_494,top),top) )],[refute_0_3117,refute_0_3120]) ).
cnf(refute_0_3122,plain,
( converse(join(X_494,top)) != converse(top)
| converse(top) != top
| converse(join(X_494,top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(X_494,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3123,plain,
( converse(top) != top
| converse(join(X_494,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(X_494,top)),converse(top)) )],[refute_0_3121,refute_0_3122]) ).
cnf(refute_0_3124,plain,
converse(join(X_494,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_3123]) ).
cnf(refute_0_3125,plain,
( converse(join(X_494,top)) != converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))
| converse(join(X_494,top)) != top
| top = converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_494,top)),converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_3126,plain,
( converse(join(X_494,top)) != converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))
| top = converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_494,top)),top) )],[refute_0_3124,refute_0_3125]) ).
cnf(refute_0_3127,plain,
converse(join(join(X_490,converse(X_491)),X_6)) = converse(join(X_6,join(X_490,converse(X_491)))),
inference(subst,[],[refute_0_2660:[bind(X_7,$fot(join(X_490,converse(X_491))))]]) ).
cnf(refute_0_3128,plain,
converse(join(converse(join(X_102,X_101)),X_7)) = join(join(X_102,X_101),converse(X_7)),
inference(subst,[],[refute_0_413:[bind(X0,$fot(join(X_102,X_101)))]]) ).
cnf(refute_0_3129,plain,
( converse(join(X_102,X_101)) != converse(join(X_101,X_102))
| converse(join(converse(join(X_102,X_101)),X_7)) != join(join(X_102,X_101),converse(X_7))
| converse(join(converse(join(X_101,X_102)),X_7)) = join(join(X_102,X_101),converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_102,X_101)),X_7)),join(join(X_102,X_101),converse(X_7))) ),[0,0,0],$fot(converse(join(X_101,X_102)))]]) ).
cnf(refute_0_3130,plain,
( converse(join(converse(join(X_102,X_101)),X_7)) != join(join(X_102,X_101),converse(X_7))
| converse(join(converse(join(X_101,X_102)),X_7)) = join(join(X_102,X_101),converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(join(X_102,X_101)),converse(join(X_101,X_102))) )],[refute_0_2661,refute_0_3129]) ).
cnf(refute_0_3131,plain,
converse(join(converse(join(X_101,X_102)),X_7)) = join(join(X_102,X_101),converse(X_7)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_102,X_101)),X_7)),join(join(X_102,X_101),converse(X_7))) )],[refute_0_3128,refute_0_3130]) ).
cnf(refute_0_3132,plain,
join(join(X_101,X_102),converse(X_7)) = join(X_101,join(X_102,converse(X_7))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_101)),bind(X1,$fot(X_102)),bind(X2,$fot(converse(X_7)))]]) ).
cnf(refute_0_3133,plain,
converse(join(converse(join(X_101,X_102)),X_7)) = join(join(X_101,X_102),converse(X_7)),
inference(subst,[],[refute_0_413:[bind(X0,$fot(join(X_101,X_102)))]]) ).
cnf(refute_0_3134,plain,
( converse(join(converse(join(X_101,X_102)),X_7)) != join(join(X_101,X_102),converse(X_7))
| join(join(X_101,X_102),converse(X_7)) != join(X_101,join(X_102,converse(X_7)))
| converse(join(converse(join(X_101,X_102)),X_7)) = join(X_101,join(X_102,converse(X_7))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(join(X_101,X_102)),X_7)))),bind(Y,$fot(join(join(X_101,X_102),converse(X_7)))),bind(Z,$fot(join(X_101,join(X_102,converse(X_7)))))]]) ).
cnf(refute_0_3135,plain,
( join(join(X_101,X_102),converse(X_7)) != join(X_101,join(X_102,converse(X_7)))
| converse(join(converse(join(X_101,X_102)),X_7)) = join(X_101,join(X_102,converse(X_7))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_101,X_102)),X_7)),join(join(X_101,X_102),converse(X_7))) )],[refute_0_3133,refute_0_3134]) ).
cnf(refute_0_3136,plain,
converse(join(converse(join(X_101,X_102)),X_7)) = join(X_101,join(X_102,converse(X_7))),
inference(resolve,[$cnf( $equal(join(join(X_101,X_102),converse(X_7)),join(X_101,join(X_102,converse(X_7)))) )],[refute_0_3132,refute_0_3135]) ).
cnf(refute_0_3137,plain,
( converse(join(converse(join(X_101,X_102)),X_7)) != join(X_101,join(X_102,converse(X_7)))
| converse(join(converse(join(X_101,X_102)),X_7)) != join(join(X_102,X_101),converse(X_7))
| join(X_101,join(X_102,converse(X_7))) = join(join(X_102,X_101),converse(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X_101,X_102)),X_7)),join(join(X_102,X_101),converse(X_7))) ),[0],$fot(join(X_101,join(X_102,converse(X_7))))]]) ).
cnf(refute_0_3138,plain,
( converse(join(converse(join(X_101,X_102)),X_7)) != join(join(X_102,X_101),converse(X_7))
| join(X_101,join(X_102,converse(X_7))) = join(join(X_102,X_101),converse(X_7)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_101,X_102)),X_7)),join(X_101,join(X_102,converse(X_7)))) )],[refute_0_3136,refute_0_3137]) ).
cnf(refute_0_3139,plain,
join(join(X_102,X_101),converse(X_7)) = join(X_102,join(X_101,converse(X_7))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_102)),bind(X1,$fot(X_101)),bind(X2,$fot(converse(X_7)))]]) ).
cnf(refute_0_3140,plain,
( join(X_101,join(X_102,converse(X_7))) != join(join(X_102,X_101),converse(X_7))
| join(join(X_102,X_101),converse(X_7)) != join(X_102,join(X_101,converse(X_7)))
| join(X_101,join(X_102,converse(X_7))) = join(X_102,join(X_101,converse(X_7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_101,join(X_102,converse(X_7))),join(X_102,join(X_101,converse(X_7)))) ),[0],$fot(join(join(X_102,X_101),converse(X_7)))]]) ).
cnf(refute_0_3141,plain,
( join(X_101,join(X_102,converse(X_7))) != join(join(X_102,X_101),converse(X_7))
| join(X_101,join(X_102,converse(X_7))) = join(X_102,join(X_101,converse(X_7))) ),
inference(resolve,[$cnf( $equal(join(join(X_102,X_101),converse(X_7)),join(X_102,join(X_101,converse(X_7)))) )],[refute_0_3139,refute_0_3140]) ).
cnf(refute_0_3142,plain,
( converse(join(converse(join(X_101,X_102)),X_7)) != join(join(X_102,X_101),converse(X_7))
| join(X_101,join(X_102,converse(X_7))) = join(X_102,join(X_101,converse(X_7))) ),
inference(resolve,[$cnf( $equal(join(X_101,join(X_102,converse(X_7))),join(join(X_102,X_101),converse(X_7))) )],[refute_0_3138,refute_0_3141]) ).
cnf(refute_0_3143,plain,
join(X_101,join(X_102,converse(X_7))) = join(X_102,join(X_101,converse(X_7))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X_101,X_102)),X_7)),join(join(X_102,X_101),converse(X_7))) )],[refute_0_3131,refute_0_3142]) ).
cnf(refute_0_3144,plain,
join(X_6,join(X_490,converse(X_491))) = join(X_490,join(X_6,converse(X_491))),
inference(subst,[],[refute_0_3143:[bind(X_101,$fot(X_6)),bind(X_102,$fot(X_490)),bind(X_7,$fot(X_491))]]) ).
cnf(refute_0_3145,plain,
( converse(join(join(X_490,converse(X_491)),X_6)) != converse(join(X_6,join(X_490,converse(X_491))))
| join(X_6,join(X_490,converse(X_491))) != join(X_490,join(X_6,converse(X_491)))
| converse(join(join(X_490,converse(X_491)),X_6)) = converse(join(X_490,join(X_6,converse(X_491)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_490,converse(X_491)),X_6)),converse(join(X_6,join(X_490,converse(X_491))))) ),[1,0],$fot(join(X_490,join(X_6,converse(X_491))))]]) ).
cnf(refute_0_3146,plain,
( converse(join(join(X_490,converse(X_491)),X_6)) != converse(join(X_6,join(X_490,converse(X_491))))
| converse(join(join(X_490,converse(X_491)),X_6)) = converse(join(X_490,join(X_6,converse(X_491)))) ),
inference(resolve,[$cnf( $equal(join(X_6,join(X_490,converse(X_491))),join(X_490,join(X_6,converse(X_491)))) )],[refute_0_3144,refute_0_3145]) ).
cnf(refute_0_3147,plain,
converse(join(join(X_490,converse(X_491)),X_6)) = converse(join(X_490,join(X_6,converse(X_491)))),
inference(resolve,[$cnf( $equal(converse(join(join(X_490,converse(X_491)),X_6)),converse(join(X_6,join(X_490,converse(X_491))))) )],[refute_0_3127,refute_0_3146]) ).
cnf(refute_0_3148,plain,
converse(join(X_490,join(converse(X_491),X_6))) = join(X_491,converse(join(X_6,X_490))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(X_490)),bind(X_180,$fot(X_6)),bind(X_181,$fot(X_491))]]) ).
cnf(refute_0_3149,plain,
join(join(X_490,converse(X_491)),X_6) = join(X_490,join(converse(X_491),X_6)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_490)),bind(X1,$fot(converse(X_491))),bind(X2,$fot(X_6))]]) ).
cnf(refute_0_3150,plain,
converse(join(join(X_490,converse(X_491)),X_6)) = converse(join(join(X_490,converse(X_491)),X_6)),
introduced(tautology,[refl,[$fot(converse(join(join(X_490,converse(X_491)),X_6)))]]) ).
cnf(refute_0_3151,plain,
( converse(join(join(X_490,converse(X_491)),X_6)) != converse(join(join(X_490,converse(X_491)),X_6))
| join(join(X_490,converse(X_491)),X_6) != join(X_490,join(converse(X_491),X_6))
| converse(join(join(X_490,converse(X_491)),X_6)) = converse(join(X_490,join(converse(X_491),X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_490,converse(X_491)),X_6)),converse(join(join(X_490,converse(X_491)),X_6))) ),[1,0],$fot(join(X_490,join(converse(X_491),X_6)))]]) ).
cnf(refute_0_3152,plain,
( join(join(X_490,converse(X_491)),X_6) != join(X_490,join(converse(X_491),X_6))
| converse(join(join(X_490,converse(X_491)),X_6)) = converse(join(X_490,join(converse(X_491),X_6))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_490,converse(X_491)),X_6)),converse(join(join(X_490,converse(X_491)),X_6))) )],[refute_0_3150,refute_0_3151]) ).
cnf(refute_0_3153,plain,
converse(join(join(X_490,converse(X_491)),X_6)) = converse(join(X_490,join(converse(X_491),X_6))),
inference(resolve,[$cnf( $equal(join(join(X_490,converse(X_491)),X_6),join(X_490,join(converse(X_491),X_6))) )],[refute_0_3149,refute_0_3152]) ).
cnf(refute_0_3154,plain,
( converse(join(X_490,join(converse(X_491),X_6))) != join(X_491,converse(join(X_6,X_490)))
| converse(join(join(X_490,converse(X_491)),X_6)) != converse(join(X_490,join(converse(X_491),X_6)))
| converse(join(join(X_490,converse(X_491)),X_6)) = join(X_491,converse(join(X_6,X_490))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(X_490,converse(X_491)),X_6)))),bind(Y,$fot(converse(join(X_490,join(converse(X_491),X_6))))),bind(Z,$fot(join(X_491,converse(join(X_6,X_490)))))]]) ).
cnf(refute_0_3155,plain,
( converse(join(X_490,join(converse(X_491),X_6))) != join(X_491,converse(join(X_6,X_490)))
| converse(join(join(X_490,converse(X_491)),X_6)) = join(X_491,converse(join(X_6,X_490))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_490,converse(X_491)),X_6)),converse(join(X_490,join(converse(X_491),X_6)))) )],[refute_0_3153,refute_0_3154]) ).
cnf(refute_0_3156,plain,
converse(join(join(X_490,converse(X_491)),X_6)) = join(X_491,converse(join(X_6,X_490))),
inference(resolve,[$cnf( $equal(converse(join(X_490,join(converse(X_491),X_6))),join(X_491,converse(join(X_6,X_490)))) )],[refute_0_3148,refute_0_3155]) ).
cnf(refute_0_3157,plain,
( converse(join(join(X_490,converse(X_491)),X_6)) != converse(join(X_490,join(X_6,converse(X_491))))
| converse(join(join(X_490,converse(X_491)),X_6)) != join(X_491,converse(join(X_6,X_490)))
| join(X_491,converse(join(X_6,X_490))) = converse(join(X_490,join(X_6,converse(X_491)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_490,converse(X_491)),X_6)),converse(join(X_490,join(X_6,converse(X_491))))) ),[0],$fot(join(X_491,converse(join(X_6,X_490))))]]) ).
cnf(refute_0_3158,plain,
( converse(join(join(X_490,converse(X_491)),X_6)) != converse(join(X_490,join(X_6,converse(X_491))))
| join(X_491,converse(join(X_6,X_490))) = converse(join(X_490,join(X_6,converse(X_491)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_490,converse(X_491)),X_6)),join(X_491,converse(join(X_6,X_490)))) )],[refute_0_3156,refute_0_3157]) ).
cnf(refute_0_3159,plain,
converse(join(X_490,join(X_6,converse(X_491)))) = join(converse(join(X_490,X_6)),X_491),
inference(subst,[],[refute_0_814:[bind(X0,$fot(X_491)),bind(X_63,$fot(X_490)),bind(X_64,$fot(X_6))]]) ).
cnf(refute_0_3160,plain,
( converse(join(X_490,join(X_6,converse(X_491)))) != join(converse(join(X_490,X_6)),X_491)
| join(X_491,converse(join(X_6,X_490))) != converse(join(X_490,join(X_6,converse(X_491))))
| join(X_491,converse(join(X_6,X_490))) = join(converse(join(X_490,X_6)),X_491) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_491,converse(join(X_6,X_490))),converse(join(X_490,join(X_6,converse(X_491))))) ),[1],$fot(join(converse(join(X_490,X_6)),X_491))]]) ).
cnf(refute_0_3161,plain,
( join(X_491,converse(join(X_6,X_490))) != converse(join(X_490,join(X_6,converse(X_491))))
| join(X_491,converse(join(X_6,X_490))) = join(converse(join(X_490,X_6)),X_491) ),
inference(resolve,[$cnf( $equal(converse(join(X_490,join(X_6,converse(X_491)))),join(converse(join(X_490,X_6)),X_491)) )],[refute_0_3159,refute_0_3160]) ).
cnf(refute_0_3162,plain,
( converse(join(join(X_490,converse(X_491)),X_6)) != converse(join(X_490,join(X_6,converse(X_491))))
| join(X_491,converse(join(X_6,X_490))) = join(converse(join(X_490,X_6)),X_491) ),
inference(resolve,[$cnf( $equal(join(X_491,converse(join(X_6,X_490))),converse(join(X_490,join(X_6,converse(X_491))))) )],[refute_0_3158,refute_0_3161]) ).
cnf(refute_0_3163,plain,
join(X_491,converse(join(X_6,X_490))) = join(converse(join(X_490,X_6)),X_491),
inference(resolve,[$cnf( $equal(converse(join(join(X_490,converse(X_491)),X_6)),converse(join(X_490,join(X_6,converse(X_491))))) )],[refute_0_3147,refute_0_3162]) ).
cnf(refute_0_3164,plain,
( join(X_491,converse(join(X_6,X_490))) != join(converse(join(X_490,X_6)),X_491)
| join(converse(join(X_490,X_6)),X_491) = join(X_491,converse(join(X_6,X_490))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_491,converse(join(X_6,X_490))))),bind(Y,$fot(join(converse(join(X_490,X_6)),X_491)))]]) ).
cnf(refute_0_3165,plain,
join(converse(join(X_490,X_6)),X_491) = join(X_491,converse(join(X_6,X_490))),
inference(resolve,[$cnf( $equal(join(X_491,converse(join(X_6,X_490))),join(converse(join(X_490,X_6)),X_491)) )],[refute_0_3163,refute_0_3164]) ).
cnf(refute_0_3166,plain,
join(converse(join(X_493,X_494)),complement(converse(X_493))) = join(complement(converse(X_493)),converse(join(X_494,X_493))),
inference(subst,[],[refute_0_3165:[bind(X_490,$fot(X_493)),bind(X_491,$fot(complement(converse(X_493)))),bind(X_6,$fot(X_494))]]) ).
cnf(refute_0_3167,plain,
converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) = join(converse(join(X_493,X_494)),complement(converse(X_493))),
inference(subst,[],[refute_0_814:[bind(X0,$fot(complement(converse(X_493)))),bind(X_63,$fot(X_493)),bind(X_64,$fot(X_494))]]) ).
cnf(refute_0_3168,plain,
( converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) != join(converse(join(X_493,X_494)),complement(converse(X_493)))
| join(converse(join(X_493,X_494)),complement(converse(X_493))) != join(complement(converse(X_493)),converse(join(X_494,X_493)))
| converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) = join(complement(converse(X_493)),converse(join(X_494,X_493))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))))),bind(Y,$fot(join(converse(join(X_493,X_494)),complement(converse(X_493))))),bind(Z,$fot(join(complement(converse(X_493)),converse(join(X_494,X_493)))))]]) ).
cnf(refute_0_3169,plain,
( join(converse(join(X_493,X_494)),complement(converse(X_493))) != join(complement(converse(X_493)),converse(join(X_494,X_493)))
| converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) = join(complement(converse(X_493)),converse(join(X_494,X_493))) ),
inference(resolve,[$cnf( $equal(converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))),join(converse(join(X_493,X_494)),complement(converse(X_493)))) )],[refute_0_3167,refute_0_3168]) ).
cnf(refute_0_3170,plain,
converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) = join(complement(converse(X_493)),converse(join(X_494,X_493))),
inference(resolve,[$cnf( $equal(join(converse(join(X_493,X_494)),complement(converse(X_493))),join(complement(converse(X_493)),converse(join(X_494,X_493)))) )],[refute_0_3166,refute_0_3169]) ).
cnf(refute_0_3171,plain,
( converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))) != join(complement(converse(X_493)),converse(join(X_494,X_493)))
| top != converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))
| top = join(complement(converse(X_493)),converse(join(X_494,X_493))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))) ),[1],$fot(join(complement(converse(X_493)),converse(join(X_494,X_493))))]]) ).
cnf(refute_0_3172,plain,
( top != converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))
| top = join(complement(converse(X_493)),converse(join(X_494,X_493))) ),
inference(resolve,[$cnf( $equal(converse(join(X_493,join(X_494,converse(complement(converse(X_493)))))),join(complement(converse(X_493)),converse(join(X_494,X_493)))) )],[refute_0_3170,refute_0_3171]) ).
cnf(refute_0_3173,plain,
( converse(join(X_494,top)) != converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))
| top = join(complement(converse(X_493)),converse(join(X_494,X_493))) ),
inference(resolve,[$cnf( $equal(top,converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))) )],[refute_0_3126,refute_0_3172]) ).
cnf(refute_0_3174,plain,
top = join(complement(converse(X_493)),converse(join(X_494,X_493))),
inference(resolve,[$cnf( $equal(converse(join(X_494,top)),converse(join(X_493,join(X_494,converse(complement(converse(X_493))))))) )],[refute_0_3116,refute_0_3173]) ).
cnf(refute_0_3175,plain,
top = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3174:[bind(X_493,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),bind(X_494,$fot(complement(one)))]]) ).
cnf(refute_0_3176,plain,
join(complement(one),composition(converse(X_20),complement(composition(X_20,one)))) = complement(one),
inference(subst,[],[refute_0_55:[bind(X0,$fot(X_20)),bind(X1,$fot(one))]]) ).
cnf(refute_0_3177,plain,
composition(X_20,one) = X_20,
inference(subst,[],[refute_0_64:[bind(X0,$fot(X_20))]]) ).
cnf(refute_0_3178,plain,
( composition(X_20,one) != X_20
| join(complement(one),composition(converse(X_20),complement(composition(X_20,one)))) != complement(one)
| join(complement(one),composition(converse(X_20),complement(X_20))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_20),complement(composition(X_20,one)))),complement(one)) ),[0,1,1,0],$fot(X_20)]]) ).
cnf(refute_0_3179,plain,
( join(complement(one),composition(converse(X_20),complement(composition(X_20,one)))) != complement(one)
| join(complement(one),composition(converse(X_20),complement(X_20))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_20,one),X_20) )],[refute_0_3177,refute_0_3178]) ).
cnf(refute_0_3180,plain,
join(complement(one),composition(converse(X_20),complement(X_20))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_20),complement(composition(X_20,one)))),complement(one)) )],[refute_0_3176,refute_0_3179]) ).
cnf(refute_0_3181,plain,
join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))) = complement(one),
inference(subst,[],[refute_0_3180:[bind(X_20,$fot(converse(X0)))]]) ).
cnf(refute_0_3182,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_3183,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( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_3182]) ).
cnf(refute_0_3184,plain,
join(complement(one),composition(X0,complement(converse(X0)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(converse(X0)),complement(converse(X0)))),complement(one)) )],[refute_0_3181,refute_0_3183]) ).
cnf(refute_0_3185,plain,
join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(converse(complement(skolemFOFtoCNF_X0))))) = complement(one),
inference(subst,[],[refute_0_3184:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3186,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_3187,plain,
complement(one) = join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3188,plain,
converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3189,plain,
join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3190,plain,
converse(top) = join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_420:[bind(X_10,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3191,plain,
( converse(top) != join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3192,plain,
join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3190,refute_0_3191]) ).
cnf(refute_0_3193,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))) != converse(top)
| join(one,converse(top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_3194,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(one,converse(top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0)))),converse(top)) )],[refute_0_3192,refute_0_3193]) ).
cnf(refute_0_3195,plain,
join(one,converse(top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(complement(converse(skolemFOFtoCNF_X0))))),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3189,refute_0_3194]) ).
cnf(refute_0_3196,plain,
( join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,converse(top)),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(one,top)))]]) ).
cnf(refute_0_3197,plain,
( join(one,converse(top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1347,refute_0_3196]) ).
cnf(refute_0_3198,plain,
join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3199,plain,
( converse(join(one,top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(one,converse(complement(converse(skolemFOFtoCNF_X0)))) != converse(join(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,top)),converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(one,converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3200,plain,
( converse(join(one,top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(skolemFOFtoCNF_X0)))),converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3198,refute_0_3199]) ).
cnf(refute_0_3201,plain,
( join(one,converse(top)) != join(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,top)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3197,refute_0_3200]) ).
cnf(refute_0_3202,plain,
converse(join(one,top)) = converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),join(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3195,refute_0_3201]) ).
cnf(refute_0_3203,plain,
( converse(join(one,top)) != converse(join(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,top)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3204,plain,
converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3202,refute_0_3203]) ).
cnf(refute_0_3205,plain,
( converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(join(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(join(one,top))
| converse(converse(join(one,top))) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),join(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0,0],$fot(converse(join(one,top)))]]) ).
cnf(refute_0_3206,plain,
( converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(converse(join(one,top))) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(one,top))) )],[refute_0_3204,refute_0_3205]) ).
cnf(refute_0_3207,plain,
converse(converse(join(one,top))) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3188,refute_0_3206]) ).
cnf(refute_0_3208,plain,
converse(converse(join(one,top))) = join(one,top),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,top)))]]) ).
cnf(refute_0_3209,plain,
( converse(converse(join(one,top))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(converse(join(one,top))) != join(one,top)
| join(one,top) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,top))),join(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(one,top))]]) ).
cnf(refute_0_3210,plain,
( converse(converse(join(one,top))) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| join(one,top) = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(join(one,top))),join(one,top)) )],[refute_0_3208,refute_0_3209]) ).
cnf(refute_0_3211,plain,
join(one,top) = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,top))),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3207,refute_0_3210]) ).
cnf(refute_0_3212,plain,
( join(one,top) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| join(one,top) != top
| top = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(top)]]) ).
cnf(refute_0_3213,plain,
( join(one,top) != join(one,complement(converse(skolemFOFtoCNF_X0)))
| top = join(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_3212]) ).
cnf(refute_0_3214,plain,
top = join(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3211,refute_0_3213]) ).
cnf(refute_0_3215,plain,
( top != join(one,complement(converse(skolemFOFtoCNF_X0)))
| join(one,complement(converse(skolemFOFtoCNF_X0))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3216,plain,
join(one,complement(converse(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3214,refute_0_3215]) ).
cnf(refute_0_3217,plain,
( complement(one) != join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| complement(one) = join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$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_3218,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( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_3216,refute_0_3217]) ).
cnf(refute_0_3219,plain,
complement(one) = join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3187,refute_0_3218]) ).
cnf(refute_0_3220,plain,
join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3221,plain,
join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3222,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$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_3223,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( $equal(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3221,refute_0_3222]) ).
cnf(refute_0_3224,plain,
join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3223]) ).
cnf(refute_0_3225,plain,
( join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_3226,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( $equal(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3224,refute_0_3225]) ).
cnf(refute_0_3227,plain,
join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3220,refute_0_3226]) ).
cnf(refute_0_3228,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$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_3229,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( $equal(join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3227,refute_0_3228]) ).
cnf(refute_0_3230,plain,
complement(one) = meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3219,refute_0_3229]) ).
cnf(refute_0_3231,plain,
( complement(one) != meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3232,plain,
meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3230,refute_0_3231]) ).
cnf(refute_0_3233,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(one),complement(converse(skolemFOFtoCNF_X0))) != complement(one)
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3234,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_3232,refute_0_3233]) ).
cnf(refute_0_3235,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(meet(complement(one),complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3186,refute_0_3234]) ).
cnf(refute_0_3236,plain,
complement(complement(one)) = one,
inference(subst,[],[refute_0_303:[bind(X0,$fot(one))]]) ).
cnf(refute_0_3237,plain,
meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))) = meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3238,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))) != meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3239,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3237,refute_0_3238]) ).
cnf(refute_0_3240,plain,
meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_3239]) ).
cnf(refute_0_3241,plain,
join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3242,plain,
( join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3243,plain,
( meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3241,refute_0_3242]) ).
cnf(refute_0_3244,plain,
join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_3240,refute_0_3243]) ).
cnf(refute_0_3245,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3246,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3244,refute_0_3245]) ).
cnf(refute_0_3247,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),meet(complement(complement(one)),complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3235,refute_0_3246]) ).
cnf(refute_0_3248,plain,
complement(skolemFOFtoCNF_X0) = join(meet(complement(one),complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(complement(skolemFOFtoCNF_X0))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_3249,plain,
complement(one) = join(complement(join(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3250,plain,
join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) = join(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3251,plain,
top = join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3252,plain,
( top != join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3253,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) )],[refute_0_3251,refute_0_3252]) ).
cnf(refute_0_3254,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))) != join(one,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| join(one,top) = join(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(skolemFOFtoCNF_X0))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_3255,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( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_3253,refute_0_3254]) ).
cnf(refute_0_3256,plain,
join(one,top) = join(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0))),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3250,refute_0_3255]) ).
cnf(refute_0_3257,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,top) != top
| top = join(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) ),[0],$fot(top)]]) ).
cnf(refute_0_3258,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| top = join(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_3257]) ).
cnf(refute_0_3259,plain,
top = join(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3256,refute_0_3258]) ).
cnf(refute_0_3260,plain,
( top != join(one,complement(skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3261,plain,
join(one,complement(skolemFOFtoCNF_X0)) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3259,refute_0_3260]) ).
cnf(refute_0_3262,plain,
( complement(one) != join(complement(join(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| join(one,complement(skolemFOFtoCNF_X0)) != top
| complement(one) = join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$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_3263,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( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_3261,refute_0_3262]) ).
cnf(refute_0_3264,plain,
complement(one) = join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3249,refute_0_3263]) ).
cnf(refute_0_3265,plain,
join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) = meet(complement(one),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3266,plain,
join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3267,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$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_3268,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3266,refute_0_3267]) ).
cnf(refute_0_3269,plain,
join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3268]) ).
cnf(refute_0_3270,plain,
( join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0)))
| join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))) != meet(complement(one),complement(skolemFOFtoCNF_X0))
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = meet(complement(one),complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$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_3271,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( $equal(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3269,refute_0_3270]) ).
cnf(refute_0_3272,plain,
join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) = meet(complement(one),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_3265,refute_0_3271]) ).
cnf(refute_0_3273,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))) != meet(complement(one),complement(skolemFOFtoCNF_X0))
| complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3274,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0))),meet(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_3272,refute_0_3273]) ).
cnf(refute_0_3275,plain,
complement(one) = meet(complement(one),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3264,refute_0_3274]) ).
cnf(refute_0_3276,plain,
( complement(one) != meet(complement(one),complement(skolemFOFtoCNF_X0))
| meet(complement(one),complement(skolemFOFtoCNF_X0)) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3277,plain,
meet(complement(one),complement(skolemFOFtoCNF_X0)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_3275,refute_0_3276]) ).
cnf(refute_0_3278,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(one),complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))
| meet(complement(one),complement(skolemFOFtoCNF_X0)) != complement(one)
| complement(skolemFOFtoCNF_X0) = join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(one),complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3279,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(complement(one),complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(skolemFOFtoCNF_X0)),complement(one)) )],[refute_0_3277,refute_0_3278]) ).
cnf(refute_0_3280,plain,
complement(skolemFOFtoCNF_X0) = join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(complement(one),complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3248,refute_0_3279]) ).
cnf(refute_0_3281,plain,
meet(complement(skolemFOFtoCNF_X0),one) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3282,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) = meet(complement(skolemFOFtoCNF_X0),complement(complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(one))))]]) ).
cnf(refute_0_3283,plain,
( complement(complement(one)) != one
| meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) != meet(complement(skolemFOFtoCNF_X0),complement(complement(one)))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(one))),meet(complement(skolemFOFtoCNF_X0),complement(complement(one)))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3284,plain,
( complement(complement(one)) != one
| meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(one))),meet(complement(skolemFOFtoCNF_X0),complement(complement(one)))) )],[refute_0_3282,refute_0_3283]) ).
cnf(refute_0_3285,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) = meet(complement(skolemFOFtoCNF_X0),one),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_3284]) ).
cnf(refute_0_3286,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(one))))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),one))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3287,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(one))),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_3285,refute_0_3286]) ).
cnf(refute_0_3288,plain,
meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3281,refute_0_3287]) ).
cnf(refute_0_3289,plain,
meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),complement(complement(one))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(complement(skolemFOFtoCNF_X0))),bind(X_25,$fot(complement(complement(one))))]]) ).
cnf(refute_0_3290,plain,
( meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),complement(complement(one)))
| meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),complement(complement(one))))),bind(Z,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3291,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),complement(complement(one)))) )],[refute_0_3289,refute_0_3290]) ).
cnf(refute_0_3292,plain,
meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3288,refute_0_3291]) ).
cnf(refute_0_3293,plain,
join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3294,plain,
( join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)) != meet(one,complement(skolemFOFtoCNF_X0))
| join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))),join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3295,plain,
( meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)) != meet(one,complement(skolemFOFtoCNF_X0))
| join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))),join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3293,refute_0_3294]) ).
cnf(refute_0_3296,plain,
join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3292,refute_0_3295]) ).
cnf(refute_0_3297,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3298,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0))),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_3296,refute_0_3297]) ).
cnf(refute_0_3299,plain,
complement(skolemFOFtoCNF_X0) = join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(one),meet(complement(complement(one)),complement(skolemFOFtoCNF_X0)))) )],[refute_0_3280,refute_0_3298]) ).
cnf(refute_0_3300,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3301,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_3299,refute_0_3300]) ).
cnf(refute_0_3302,plain,
converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3303,plain,
( converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3304,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_3302,refute_0_3303]) ).
cnf(refute_0_3305,plain,
converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_3301,refute_0_3304]) ).
cnf(refute_0_3306,plain,
converse(join(X_494,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))) = converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_3106:[bind(X1,$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))),bind(X_101,$fot(complement(one))),bind(X_102,$fot(X_494))]]) ).
cnf(refute_0_3307,plain,
complement(complement(converse(complement(one)))) = join(complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(converse(complement(one))))),bind(X_32,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3308,plain,
one = join(meet(one,complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(complement(converse(complement(one))))),bind(X_44,$fot(one))]]) ).
cnf(refute_0_3309,plain,
complement(X_213) = join(complement(join(X_213,join(X_65,complement(X_213)))),meet(complement(X_213),join(X_65,complement(X_213)))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(X_213)),bind(X_32,$fot(join(X_65,complement(X_213))))]]) ).
cnf(refute_0_3310,plain,
join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(join(complement(X_31),meet(X_31,complement(complement(X_31)))),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(X_31))),bind(X1,$fot(meet(X_31,complement(complement(X_31))))),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_3311,plain,
( top != join(complement(X_31),meet(X_31,complement(complement(X_31))))
| join(complement(X_31),meet(X_31,complement(complement(X_31)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_31),meet(X_31,complement(complement(X_31))))))]]) ).
cnf(refute_0_3312,plain,
join(complement(X_31),meet(X_31,complement(complement(X_31)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_31),meet(X_31,complement(complement(X_31))))) )],[refute_0_241,refute_0_3311]) ).
cnf(refute_0_3313,plain,
( join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) != join(join(complement(X_31),meet(X_31,complement(complement(X_31)))),X_65)
| join(complement(X_31),meet(X_31,complement(complement(X_31)))) != top
| join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(top,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),join(join(complement(X_31),meet(X_31,complement(complement(X_31)))),X_65)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3314,plain,
( join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) != join(join(complement(X_31),meet(X_31,complement(complement(X_31)))),X_65)
| join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(top,X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),meet(X_31,complement(complement(X_31)))),top) )],[refute_0_3312,refute_0_3313]) ).
cnf(refute_0_3315,plain,
join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(top,X_65),
inference(resolve,[$cnf( $equal(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),join(join(complement(X_31),meet(X_31,complement(complement(X_31)))),X_65)) )],[refute_0_3310,refute_0_3314]) ).
cnf(refute_0_3316,plain,
join(complement(X_31),join(X_31,X_65)) = join(X_31,join(X_65,complement(X_31))),
inference(subst,[],[refute_0_1961:[bind(X_179,$fot(complement(X_31))),bind(X_180,$fot(X_65)),bind(X_9,$fot(X_31))]]) ).
cnf(refute_0_3317,plain,
join(meet(X_31,complement(complement(X_31))),X_65) = join(meet(X_31,complement(complement(X_31))),X_65),
introduced(tautology,[refl,[$fot(join(meet(X_31,complement(complement(X_31))),X_65))]]) ).
cnf(refute_0_3318,plain,
( join(meet(X_31,complement(complement(X_31))),X_65) != join(meet(X_31,complement(complement(X_31))),X_65)
| meet(X_31,complement(complement(X_31))) != X_31
| join(meet(X_31,complement(complement(X_31))),X_65) = join(X_31,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_31,complement(complement(X_31))),X_65),join(meet(X_31,complement(complement(X_31))),X_65)) ),[1,0],$fot(X_31)]]) ).
cnf(refute_0_3319,plain,
( meet(X_31,complement(complement(X_31))) != X_31
| join(meet(X_31,complement(complement(X_31))),X_65) = join(X_31,X_65) ),
inference(resolve,[$cnf( $equal(join(meet(X_31,complement(complement(X_31))),X_65),join(meet(X_31,complement(complement(X_31))),X_65)) )],[refute_0_3317,refute_0_3318]) ).
cnf(refute_0_3320,plain,
join(meet(X_31,complement(complement(X_31))),X_65) = join(X_31,X_65),
inference(resolve,[$cnf( $equal(meet(X_31,complement(complement(X_31))),X_31) )],[refute_0_285,refute_0_3319]) ).
cnf(refute_0_3321,plain,
join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),
introduced(tautology,[refl,[$fot(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)))]]) ).
cnf(refute_0_3322,plain,
( join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) != join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65))
| join(meet(X_31,complement(complement(X_31))),X_65) != join(X_31,X_65)
| join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(complement(X_31),join(X_31,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65))) ),[1,1],$fot(join(X_31,X_65))]]) ).
cnf(refute_0_3323,plain,
( join(meet(X_31,complement(complement(X_31))),X_65) != join(X_31,X_65)
| join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(complement(X_31),join(X_31,X_65)) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65))) )],[refute_0_3321,refute_0_3322]) ).
cnf(refute_0_3324,plain,
join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(complement(X_31),join(X_31,X_65)),
inference(resolve,[$cnf( $equal(join(meet(X_31,complement(complement(X_31))),X_65),join(X_31,X_65)) )],[refute_0_3320,refute_0_3323]) ).
cnf(refute_0_3325,plain,
( join(complement(X_31),join(X_31,X_65)) != join(X_31,join(X_65,complement(X_31)))
| join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) != join(complement(X_31),join(X_31,X_65))
| join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(X_31,join(X_65,complement(X_31))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)))),bind(Y,$fot(join(complement(X_31),join(X_31,X_65)))),bind(Z,$fot(join(X_31,join(X_65,complement(X_31)))))]]) ).
cnf(refute_0_3326,plain,
( join(complement(X_31),join(X_31,X_65)) != join(X_31,join(X_65,complement(X_31)))
| join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(X_31,join(X_65,complement(X_31))) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),join(complement(X_31),join(X_31,X_65))) )],[refute_0_3324,refute_0_3325]) ).
cnf(refute_0_3327,plain,
join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) = join(X_31,join(X_65,complement(X_31))),
inference(resolve,[$cnf( $equal(join(complement(X_31),join(X_31,X_65)),join(X_31,join(X_65,complement(X_31)))) )],[refute_0_3316,refute_0_3326]) ).
cnf(refute_0_3328,plain,
( join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) != join(X_31,join(X_65,complement(X_31)))
| join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) != join(top,X_65)
| join(X_31,join(X_65,complement(X_31))) = join(top,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),join(top,X_65)) ),[0],$fot(join(X_31,join(X_65,complement(X_31))))]]) ).
cnf(refute_0_3329,plain,
( join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) != join(top,X_65)
| join(X_31,join(X_65,complement(X_31))) = join(top,X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),join(X_31,join(X_65,complement(X_31)))) )],[refute_0_3327,refute_0_3328]) ).
cnf(refute_0_3330,plain,
converse(join(converse(X0),join(one,top))) = join(X0,converse(join(one,top))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(join(one,top)))]]) ).
cnf(refute_0_3331,plain,
converse(join(one,top)) = join(one,converse(top)),
inference(subst,[],[refute_0_664:[bind(X_7,$fot(top))]]) ).
cnf(refute_0_3332,plain,
( converse(join(one,top)) != join(one,converse(top))
| converse(top) != top
| converse(join(one,top)) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),join(one,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3333,plain,
( converse(join(one,top)) != join(one,converse(top))
| converse(join(one,top)) = join(one,top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_3332]) ).
cnf(refute_0_3334,plain,
converse(join(one,top)) = join(one,top),
inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,converse(top))) )],[refute_0_3331,refute_0_3333]) ).
cnf(refute_0_3335,plain,
( converse(join(converse(X0),join(one,top))) != join(X0,converse(join(one,top)))
| converse(join(one,top)) != join(one,top)
| converse(join(converse(X0),join(one,top))) = join(X0,join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,top))),join(X0,converse(join(one,top)))) ),[1,1],$fot(join(one,top))]]) ).
cnf(refute_0_3336,plain,
( converse(join(converse(X0),join(one,top))) != join(X0,converse(join(one,top)))
| converse(join(converse(X0),join(one,top))) = join(X0,join(one,top)) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),join(one,top)) )],[refute_0_3334,refute_0_3335]) ).
cnf(refute_0_3337,plain,
converse(join(converse(X0),join(one,top))) = join(X0,join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,top))),join(X0,converse(join(one,top)))) )],[refute_0_3330,refute_0_3336]) ).
cnf(refute_0_3338,plain,
join(converse(top),X0) = join(converse(top),X0),
introduced(tautology,[refl,[$fot(join(converse(top),X0))]]) ).
cnf(refute_0_3339,plain,
( converse(top) != top
| join(converse(top),X0) != join(converse(top),X0)
| join(converse(top),X0) = join(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X0),join(converse(top),X0)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3340,plain,
( converse(top) != top
| join(converse(top),X0) = join(top,X0) ),
inference(resolve,[$cnf( $equal(join(converse(top),X0),join(converse(top),X0)) )],[refute_0_3338,refute_0_3339]) ).
cnf(refute_0_3341,plain,
join(converse(top),X0) = join(top,X0),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_3340]) ).
cnf(refute_0_3342,plain,
join(one,join(converse(top),X0)) = join(one,join(converse(top),X0)),
introduced(tautology,[refl,[$fot(join(one,join(converse(top),X0)))]]) ).
cnf(refute_0_3343,plain,
( join(converse(top),X0) != join(top,X0)
| join(one,join(converse(top),X0)) != join(one,join(converse(top),X0))
| join(one,join(converse(top),X0)) = join(one,join(top,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(top),X0)),join(one,join(converse(top),X0))) ),[1,1],$fot(join(top,X0))]]) ).
cnf(refute_0_3344,plain,
( join(converse(top),X0) != join(top,X0)
| join(one,join(converse(top),X0)) = join(one,join(top,X0)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(top),X0)),join(one,join(converse(top),X0))) )],[refute_0_3342,refute_0_3343]) ).
cnf(refute_0_3345,plain,
join(one,join(converse(top),X0)) = join(one,join(top,X0)),
inference(resolve,[$cnf( $equal(join(converse(top),X0),join(top,X0)) )],[refute_0_3341,refute_0_3344]) ).
cnf(refute_0_3346,plain,
join(converse(join(one,top)),X0) = join(one,join(converse(top),X0)),
inference(subst,[],[refute_0_806:[bind(X_65,$fot(X0)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_3347,plain,
converse(join(one,join(top,converse(X0)))) = join(converse(join(one,top)),X0),
inference(subst,[],[refute_0_814:[bind(X_63,$fot(one)),bind(X_64,$fot(top))]]) ).
cnf(refute_0_3348,plain,
( converse(join(one,join(top,converse(X0)))) != join(converse(join(one,top)),X0)
| join(converse(join(one,top)),X0) != join(one,join(converse(top),X0))
| converse(join(one,join(top,converse(X0)))) = join(one,join(converse(top),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(top,converse(X0)))))),bind(Y,$fot(join(converse(join(one,top)),X0))),bind(Z,$fot(join(one,join(converse(top),X0))))]]) ).
cnf(refute_0_3349,plain,
( join(converse(join(one,top)),X0) != join(one,join(converse(top),X0))
| converse(join(one,join(top,converse(X0)))) = join(one,join(converse(top),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(top,converse(X0)))),join(converse(join(one,top)),X0)) )],[refute_0_3347,refute_0_3348]) ).
cnf(refute_0_3350,plain,
converse(join(one,join(top,converse(X0)))) = join(one,join(converse(top),X0)),
inference(resolve,[$cnf( $equal(join(converse(join(one,top)),X0),join(one,join(converse(top),X0))) )],[refute_0_3346,refute_0_3349]) ).
cnf(refute_0_3351,plain,
converse(join(join(X0,X1),X_101)) = converse(join(X_101,join(X0,X1))),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(X_101)),bind(X_7,$fot(join(X0,X1)))]]) ).
cnf(refute_0_3352,plain,
join(X0,join(X1,X_101)) = join(join(X0,X1),X_101),
inference(subst,[],[refute_0_46:[bind(X2,$fot(X_101))]]) ).
cnf(refute_0_3353,plain,
( join(X0,join(X1,X_101)) != join(join(X0,X1),X_101)
| join(join(X0,X1),X_101) = join(X0,join(X1,X_101)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,X_101)))),bind(Y,$fot(join(join(X0,X1),X_101)))]]) ).
cnf(refute_0_3354,plain,
join(join(X0,X1),X_101) = join(X0,join(X1,X_101)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_101)),join(join(X0,X1),X_101)) )],[refute_0_3352,refute_0_3353]) ).
cnf(refute_0_3355,plain,
( converse(join(join(X0,X1),X_101)) != converse(join(X_101,join(X0,X1)))
| join(join(X0,X1),X_101) != join(X0,join(X1,X_101))
| converse(join(X0,join(X1,X_101))) = converse(join(X_101,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X0,X1),X_101)),converse(join(X_101,join(X0,X1)))) ),[0,0],$fot(join(X0,join(X1,X_101)))]]) ).
cnf(refute_0_3356,plain,
( converse(join(join(X0,X1),X_101)) != converse(join(X_101,join(X0,X1)))
| converse(join(X0,join(X1,X_101))) = converse(join(X_101,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_101),join(X0,join(X1,X_101))) )],[refute_0_3354,refute_0_3355]) ).
cnf(refute_0_3357,plain,
converse(join(X0,join(X1,X_101))) = converse(join(X_101,join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X0,X1),X_101)),converse(join(X_101,join(X0,X1)))) )],[refute_0_3351,refute_0_3356]) ).
cnf(refute_0_3358,plain,
( converse(join(X0,join(X1,X_101))) != converse(join(X_101,join(X0,X1)))
| converse(join(X_101,join(X0,X1))) = converse(join(X0,join(X1,X_101))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,join(X1,X_101))))),bind(Y,$fot(converse(join(X_101,join(X0,X1)))))]]) ).
cnf(refute_0_3359,plain,
converse(join(X_101,join(X0,X1))) = converse(join(X0,join(X1,X_101))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X1,X_101))),converse(join(X_101,join(X0,X1)))) )],[refute_0_3357,refute_0_3358]) ).
cnf(refute_0_3360,plain,
converse(join(converse(X0),join(one,top))) = converse(join(one,join(top,converse(X0)))),
inference(subst,[],[refute_0_3359:[bind(X0,$fot(one)),bind(X1,$fot(top)),bind(X_101,$fot(converse(X0)))]]) ).
cnf(refute_0_3361,plain,
( converse(join(converse(X0),join(one,top))) != converse(join(one,join(top,converse(X0))))
| converse(join(one,join(top,converse(X0)))) != join(one,join(converse(top),X0))
| converse(join(converse(X0),join(one,top))) = join(one,join(converse(top),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(one,top))))),bind(Y,$fot(converse(join(one,join(top,converse(X0)))))),bind(Z,$fot(join(one,join(converse(top),X0))))]]) ).
cnf(refute_0_3362,plain,
( converse(join(one,join(top,converse(X0)))) != join(one,join(converse(top),X0))
| converse(join(converse(X0),join(one,top))) = join(one,join(converse(top),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,top))),converse(join(one,join(top,converse(X0))))) )],[refute_0_3360,refute_0_3361]) ).
cnf(refute_0_3363,plain,
converse(join(converse(X0),join(one,top))) = join(one,join(converse(top),X0)),
inference(resolve,[$cnf( $equal(converse(join(one,join(top,converse(X0)))),join(one,join(converse(top),X0))) )],[refute_0_3350,refute_0_3362]) ).
cnf(refute_0_3364,plain,
( converse(join(converse(X0),join(one,top))) != join(one,join(converse(top),X0))
| join(one,join(converse(top),X0)) != join(one,join(top,X0))
| converse(join(converse(X0),join(one,top))) = join(one,join(top,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(one,top))))),bind(Y,$fot(join(one,join(converse(top),X0)))),bind(Z,$fot(join(one,join(top,X0))))]]) ).
cnf(refute_0_3365,plain,
( join(one,join(converse(top),X0)) != join(one,join(top,X0))
| converse(join(converse(X0),join(one,top))) = join(one,join(top,X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,top))),join(one,join(converse(top),X0))) )],[refute_0_3363,refute_0_3364]) ).
cnf(refute_0_3366,plain,
converse(join(converse(X0),join(one,top))) = join(one,join(top,X0)),
inference(resolve,[$cnf( $equal(join(one,join(converse(top),X0)),join(one,join(top,X0))) )],[refute_0_3345,refute_0_3365]) ).
cnf(refute_0_3367,plain,
( converse(join(converse(X0),join(one,top))) != join(X0,join(one,top))
| converse(join(converse(X0),join(one,top))) != join(one,join(top,X0))
| join(one,join(top,X0)) = join(X0,join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,top))),join(X0,join(one,top))) ),[0],$fot(join(one,join(top,X0)))]]) ).
cnf(refute_0_3368,plain,
( converse(join(converse(X0),join(one,top))) != join(X0,join(one,top))
| join(one,join(top,X0)) = join(X0,join(one,top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,top))),join(one,join(top,X0))) )],[refute_0_3366,refute_0_3367]) ).
cnf(refute_0_3369,plain,
join(one,join(top,X0)) = join(X0,join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,top))),join(X0,join(one,top))) )],[refute_0_3337,refute_0_3368]) ).
cnf(refute_0_3370,plain,
join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(join(top,meet(join(X_104,top),meet(zero,X_104))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(top)),bind(X1,$fot(meet(join(X_104,top),meet(zero,X_104))))]]) ).
cnf(refute_0_3371,plain,
( join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) != join(join(top,meet(join(X_104,top),meet(zero,X_104))),X2)
| join(top,meet(join(X_104,top),meet(zero,X_104))) != join(X_104,top)
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(join(X_104,top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(join(top,meet(join(X_104,top),meet(zero,X_104))),X2)) ),[1,0],$fot(join(X_104,top))]]) ).
cnf(refute_0_3372,plain,
( join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) != join(join(top,meet(join(X_104,top),meet(zero,X_104))),X2)
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(join(X_104,top),X2) ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_104,top),meet(zero,X_104))),join(X_104,top)) )],[refute_0_1079,refute_0_3371]) ).
cnf(refute_0_3373,plain,
join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(join(X_104,top),X2),
inference(resolve,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(join(top,meet(join(X_104,top),meet(zero,X_104))),X2)) )],[refute_0_3370,refute_0_3372]) ).
cnf(refute_0_3374,plain,
join(join(X_104,top),X2) = join(X_104,join(top,X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_104)),bind(X1,$fot(top))]]) ).
cnf(refute_0_3375,plain,
( join(join(X_104,top),X2) != join(X_104,join(top,X2))
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) != join(join(X_104,top),X2)
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(X_104,join(top,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(join(X_104,top),X2)) ),[1],$fot(join(X_104,join(top,X2)))]]) ).
cnf(refute_0_3376,plain,
( join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) != join(join(X_104,top),X2)
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(X_104,join(top,X2)) ),
inference(resolve,[$cnf( $equal(join(join(X_104,top),X2),join(X_104,join(top,X2))) )],[refute_0_3374,refute_0_3375]) ).
cnf(refute_0_3377,plain,
join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(X_104,join(top,X2)),
inference(resolve,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(join(X_104,top),X2)) )],[refute_0_3373,refute_0_3376]) ).
cnf(refute_0_3378,plain,
join(zero,X2) = X2,
inference(subst,[],[refute_0_178:[bind(X_31,$fot(X2))]]) ).
cnf(refute_0_3379,plain,
meet(X_56,zero) = meet(zero,X_56),
inference(subst,[],[refute_0_352:[bind(X_24,$fot(X_56)),bind(X_25,$fot(zero))]]) ).
cnf(refute_0_3380,plain,
( meet(X_56,zero) != meet(zero,X_56)
| meet(zero,X_56) = meet(X_56,zero) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_56,zero))),bind(Y,$fot(meet(zero,X_56)))]]) ).
cnf(refute_0_3381,plain,
meet(zero,X_56) = meet(X_56,zero),
inference(resolve,[$cnf( $equal(meet(X_56,zero),meet(zero,X_56)) )],[refute_0_3379,refute_0_3380]) ).
cnf(refute_0_3382,plain,
( meet(zero,X_56) != meet(X_56,zero)
| zero != join(meet(zero,X_56),complement(join(X_56,top)))
| zero = join(meet(X_56,zero),complement(join(X_56,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_56),complement(join(X_56,top)))) ),[1,0],$fot(meet(X_56,zero))]]) ).
cnf(refute_0_3383,plain,
( zero != join(meet(zero,X_56),complement(join(X_56,top)))
| zero = join(meet(X_56,zero),complement(join(X_56,top))) ),
inference(resolve,[$cnf( $equal(meet(zero,X_56),meet(X_56,zero)) )],[refute_0_3381,refute_0_3382]) ).
cnf(refute_0_3384,plain,
zero = join(meet(X_56,zero),complement(join(X_56,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_56),complement(join(X_56,top)))) )],[refute_0_1060,refute_0_3383]) ).
cnf(refute_0_3385,plain,
join(meet(X_56,zero),zero) = meet(X_56,zero),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(meet(X_56,zero)))]]) ).
cnf(refute_0_3386,plain,
join(X_56,top) = top,
inference(subst,[],[refute_0_1338:[bind(X_104,$fot(X_56))]]) ).
cnf(refute_0_3387,plain,
complement(join(X_56,top)) = complement(join(X_56,top)),
introduced(tautology,[refl,[$fot(complement(join(X_56,top)))]]) ).
cnf(refute_0_3388,plain,
( complement(join(X_56,top)) != complement(join(X_56,top))
| join(X_56,top) != top
| complement(join(X_56,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_56,top)),complement(join(X_56,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3389,plain,
( join(X_56,top) != top
| complement(join(X_56,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(X_56,top)),complement(join(X_56,top))) )],[refute_0_3387,refute_0_3388]) ).
cnf(refute_0_3390,plain,
complement(join(X_56,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(X_56,top),top) )],[refute_0_3386,refute_0_3389]) ).
cnf(refute_0_3391,plain,
( complement(join(X_56,top)) != complement(top)
| complement(top) != zero
| complement(join(X_56,top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(X_56,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_3392,plain,
( complement(top) != zero
| complement(join(X_56,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(X_56,top)),complement(top)) )],[refute_0_3390,refute_0_3391]) ).
cnf(refute_0_3393,plain,
complement(join(X_56,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3392]) ).
cnf(refute_0_3394,plain,
join(meet(X_56,zero),complement(join(X_56,top))) = join(meet(X_56,zero),complement(join(X_56,top))),
introduced(tautology,[refl,[$fot(join(meet(X_56,zero),complement(join(X_56,top))))]]) ).
cnf(refute_0_3395,plain,
( complement(join(X_56,top)) != zero
| join(meet(X_56,zero),complement(join(X_56,top))) != join(meet(X_56,zero),complement(join(X_56,top)))
| join(meet(X_56,zero),complement(join(X_56,top))) = join(meet(X_56,zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_56,zero),complement(join(X_56,top))),join(meet(X_56,zero),complement(join(X_56,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3396,plain,
( complement(join(X_56,top)) != zero
| join(meet(X_56,zero),complement(join(X_56,top))) = join(meet(X_56,zero),zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_56,zero),complement(join(X_56,top))),join(meet(X_56,zero),complement(join(X_56,top)))) )],[refute_0_3394,refute_0_3395]) ).
cnf(refute_0_3397,plain,
join(meet(X_56,zero),complement(join(X_56,top))) = join(meet(X_56,zero),zero),
inference(resolve,[$cnf( $equal(complement(join(X_56,top)),zero) )],[refute_0_3393,refute_0_3396]) ).
cnf(refute_0_3398,plain,
( join(meet(X_56,zero),complement(join(X_56,top))) != join(meet(X_56,zero),zero)
| join(meet(X_56,zero),zero) != meet(X_56,zero)
| join(meet(X_56,zero),complement(join(X_56,top))) = meet(X_56,zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(X_56,zero),complement(join(X_56,top))))),bind(Y,$fot(join(meet(X_56,zero),zero))),bind(Z,$fot(meet(X_56,zero)))]]) ).
cnf(refute_0_3399,plain,
( join(meet(X_56,zero),zero) != meet(X_56,zero)
| join(meet(X_56,zero),complement(join(X_56,top))) = meet(X_56,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_56,zero),complement(join(X_56,top))),join(meet(X_56,zero),zero)) )],[refute_0_3397,refute_0_3398]) ).
cnf(refute_0_3400,plain,
join(meet(X_56,zero),complement(join(X_56,top))) = meet(X_56,zero),
inference(resolve,[$cnf( $equal(join(meet(X_56,zero),zero),meet(X_56,zero)) )],[refute_0_3385,refute_0_3399]) ).
cnf(refute_0_3401,plain,
( join(meet(X_56,zero),complement(join(X_56,top))) != meet(X_56,zero)
| zero != join(meet(X_56,zero),complement(join(X_56,top)))
| zero = meet(X_56,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_56,zero),complement(join(X_56,top)))) ),[1],$fot(meet(X_56,zero))]]) ).
cnf(refute_0_3402,plain,
( zero != join(meet(X_56,zero),complement(join(X_56,top)))
| zero = meet(X_56,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_56,zero),complement(join(X_56,top))),meet(X_56,zero)) )],[refute_0_3400,refute_0_3401]) ).
cnf(refute_0_3403,plain,
zero = meet(X_56,zero),
inference(resolve,[$cnf( $equal(zero,join(meet(X_56,zero),complement(join(X_56,top)))) )],[refute_0_3384,refute_0_3402]) ).
cnf(refute_0_3404,plain,
( zero != meet(X_56,zero)
| meet(X_56,zero) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_56,zero)))]]) ).
cnf(refute_0_3405,plain,
meet(X_56,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_56,zero)) )],[refute_0_3403,refute_0_3404]) ).
cnf(refute_0_3406,plain,
meet(top,zero) = zero,
inference(subst,[],[refute_0_3405:[bind(X_56,$fot(top))]]) ).
cnf(refute_0_3407,plain,
meet(zero,X_104) = zero,
inference(subst,[],[refute_0_1701:[bind(X_55,$fot(X_104))]]) ).
cnf(refute_0_3408,plain,
meet(top,meet(zero,X_104)) = meet(top,meet(zero,X_104)),
introduced(tautology,[refl,[$fot(meet(top,meet(zero,X_104)))]]) ).
cnf(refute_0_3409,plain,
( meet(top,meet(zero,X_104)) != meet(top,meet(zero,X_104))
| meet(zero,X_104) != zero
| meet(top,meet(zero,X_104)) = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(zero,X_104)),meet(top,meet(zero,X_104))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_3410,plain,
( meet(zero,X_104) != zero
| meet(top,meet(zero,X_104)) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(top,meet(zero,X_104)),meet(top,meet(zero,X_104))) )],[refute_0_3408,refute_0_3409]) ).
cnf(refute_0_3411,plain,
meet(top,meet(zero,X_104)) = meet(top,zero),
inference(resolve,[$cnf( $equal(meet(zero,X_104),zero) )],[refute_0_3407,refute_0_3410]) ).
cnf(refute_0_3412,plain,
meet(join(X_104,top),meet(zero,X_104)) = meet(join(X_104,top),meet(zero,X_104)),
introduced(tautology,[refl,[$fot(meet(join(X_104,top),meet(zero,X_104)))]]) ).
cnf(refute_0_3413,plain,
( join(X_104,top) != top
| meet(join(X_104,top),meet(zero,X_104)) != meet(join(X_104,top),meet(zero,X_104))
| meet(join(X_104,top),meet(zero,X_104)) = meet(top,meet(zero,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_104,top),meet(zero,X_104)),meet(join(X_104,top),meet(zero,X_104))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3414,plain,
( join(X_104,top) != top
| meet(join(X_104,top),meet(zero,X_104)) = meet(top,meet(zero,X_104)) ),
inference(resolve,[$cnf( $equal(meet(join(X_104,top),meet(zero,X_104)),meet(join(X_104,top),meet(zero,X_104))) )],[refute_0_3412,refute_0_3413]) ).
cnf(refute_0_3415,plain,
meet(join(X_104,top),meet(zero,X_104)) = meet(top,meet(zero,X_104)),
inference(resolve,[$cnf( $equal(join(X_104,top),top) )],[refute_0_1338,refute_0_3414]) ).
cnf(refute_0_3416,plain,
( meet(join(X_104,top),meet(zero,X_104)) != meet(top,meet(zero,X_104))
| meet(top,meet(zero,X_104)) != meet(top,zero)
| meet(join(X_104,top),meet(zero,X_104)) = meet(top,zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_104,top),meet(zero,X_104)))),bind(Y,$fot(meet(top,meet(zero,X_104)))),bind(Z,$fot(meet(top,zero)))]]) ).
cnf(refute_0_3417,plain,
( meet(top,meet(zero,X_104)) != meet(top,zero)
| meet(join(X_104,top),meet(zero,X_104)) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(join(X_104,top),meet(zero,X_104)),meet(top,meet(zero,X_104))) )],[refute_0_3415,refute_0_3416]) ).
cnf(refute_0_3418,plain,
meet(join(X_104,top),meet(zero,X_104)) = meet(top,zero),
inference(resolve,[$cnf( $equal(meet(top,meet(zero,X_104)),meet(top,zero)) )],[refute_0_3411,refute_0_3417]) ).
cnf(refute_0_3419,plain,
( meet(join(X_104,top),meet(zero,X_104)) != meet(top,zero)
| meet(top,zero) != zero
| meet(join(X_104,top),meet(zero,X_104)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_104,top),meet(zero,X_104)))),bind(Y,$fot(meet(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_3420,plain,
( meet(top,zero) != zero
| meet(join(X_104,top),meet(zero,X_104)) = zero ),
inference(resolve,[$cnf( $equal(meet(join(X_104,top),meet(zero,X_104)),meet(top,zero)) )],[refute_0_3418,refute_0_3419]) ).
cnf(refute_0_3421,plain,
meet(join(X_104,top),meet(zero,X_104)) = zero,
inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_0_3406,refute_0_3420]) ).
cnf(refute_0_3422,plain,
join(meet(join(X_104,top),meet(zero,X_104)),X2) = join(meet(join(X_104,top),meet(zero,X_104)),X2),
introduced(tautology,[refl,[$fot(join(meet(join(X_104,top),meet(zero,X_104)),X2))]]) ).
cnf(refute_0_3423,plain,
( join(meet(join(X_104,top),meet(zero,X_104)),X2) != join(meet(join(X_104,top),meet(zero,X_104)),X2)
| meet(join(X_104,top),meet(zero,X_104)) != zero
| join(meet(join(X_104,top),meet(zero,X_104)),X2) = join(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_104,top),meet(zero,X_104)),X2),join(meet(join(X_104,top),meet(zero,X_104)),X2)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3424,plain,
( meet(join(X_104,top),meet(zero,X_104)) != zero
| join(meet(join(X_104,top),meet(zero,X_104)),X2) = join(zero,X2) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_104,top),meet(zero,X_104)),X2),join(meet(join(X_104,top),meet(zero,X_104)),X2)) )],[refute_0_3422,refute_0_3423]) ).
cnf(refute_0_3425,plain,
join(meet(join(X_104,top),meet(zero,X_104)),X2) = join(zero,X2),
inference(resolve,[$cnf( $equal(meet(join(X_104,top),meet(zero,X_104)),zero) )],[refute_0_3421,refute_0_3424]) ).
cnf(refute_0_3426,plain,
( join(meet(join(X_104,top),meet(zero,X_104)),X2) != join(zero,X2)
| join(zero,X2) != X2
| join(meet(join(X_104,top),meet(zero,X_104)),X2) = X2 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(join(X_104,top),meet(zero,X_104)),X2))),bind(Y,$fot(join(zero,X2))),bind(Z,$fot(X2))]]) ).
cnf(refute_0_3427,plain,
( join(zero,X2) != X2
| join(meet(join(X_104,top),meet(zero,X_104)),X2) = X2 ),
inference(resolve,[$cnf( $equal(join(meet(join(X_104,top),meet(zero,X_104)),X2),join(zero,X2)) )],[refute_0_3425,refute_0_3426]) ).
cnf(refute_0_3428,plain,
join(meet(join(X_104,top),meet(zero,X_104)),X2) = X2,
inference(resolve,[$cnf( $equal(join(zero,X2),X2) )],[refute_0_3378,refute_0_3427]) ).
cnf(refute_0_3429,plain,
join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),
introduced(tautology,[refl,[$fot(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)))]]) ).
cnf(refute_0_3430,plain,
( join(meet(join(X_104,top),meet(zero,X_104)),X2) != X2
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) != join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2))
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2))) ),[1,1],$fot(X2)]]) ).
cnf(refute_0_3431,plain,
( join(meet(join(X_104,top),meet(zero,X_104)),X2) != X2
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2))) )],[refute_0_3429,refute_0_3430]) ).
cnf(refute_0_3432,plain,
join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(meet(join(X_104,top),meet(zero,X_104)),X2),X2) )],[refute_0_3428,refute_0_3431]) ).
cnf(refute_0_3433,plain,
( join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) != join(X_104,join(top,X2))
| join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) != join(top,X2)
| join(top,X2) = join(X_104,join(top,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(X_104,join(top,X2))) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_0_3434,plain,
( join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)) != join(X_104,join(top,X2))
| join(top,X2) = join(X_104,join(top,X2)) ),
inference(resolve,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(top,X2)) )],[refute_0_3432,refute_0_3433]) ).
cnf(refute_0_3435,plain,
join(top,X2) = join(X_104,join(top,X2)),
inference(resolve,[$cnf( $equal(join(top,join(meet(join(X_104,top),meet(zero,X_104)),X2)),join(X_104,join(top,X2))) )],[refute_0_3377,refute_0_3434]) ).
cnf(refute_0_3436,plain,
( join(top,X2) != join(X_104,join(top,X2))
| join(X_104,join(top,X2)) = join(top,X2) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(top,X2))),bind(Y,$fot(join(X_104,join(top,X2))))]]) ).
cnf(refute_0_3437,plain,
join(X_104,join(top,X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(top,X2),join(X_104,join(top,X2))) )],[refute_0_3435,refute_0_3436]) ).
cnf(refute_0_3438,plain,
join(one,join(top,X0)) = join(top,X0),
inference(subst,[],[refute_0_3437:[bind(X2,$fot(X0)),bind(X_104,$fot(one))]]) ).
cnf(refute_0_3439,plain,
( join(one,join(top,X0)) != join(X0,join(one,top))
| join(one,join(top,X0)) != join(top,X0)
| join(top,X0) = join(X0,join(one,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(top,X0)),join(X0,join(one,top))) ),[0],$fot(join(top,X0))]]) ).
cnf(refute_0_3440,plain,
( join(one,join(top,X0)) != join(X0,join(one,top))
| join(top,X0) = join(X0,join(one,top)) ),
inference(resolve,[$cnf( $equal(join(one,join(top,X0)),join(top,X0)) )],[refute_0_3438,refute_0_3439]) ).
cnf(refute_0_3441,plain,
join(X0,top) = top,
inference(subst,[],[refute_0_1338:[bind(X_104,$fot(X0))]]) ).
cnf(refute_0_3442,plain,
join(X0,join(one,top)) = join(X0,join(one,top)),
introduced(tautology,[refl,[$fot(join(X0,join(one,top)))]]) ).
cnf(refute_0_3443,plain,
( join(X0,join(one,top)) != join(X0,join(one,top))
| join(one,top) != top
| join(X0,join(one,top)) = join(X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,top)),join(X0,join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3444,plain,
( join(one,top) != top
| join(X0,join(one,top)) = join(X0,top) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,top)),join(X0,join(one,top))) )],[refute_0_3442,refute_0_3443]) ).
cnf(refute_0_3445,plain,
join(X0,join(one,top)) = join(X0,top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_3444]) ).
cnf(refute_0_3446,plain,
( join(X0,join(one,top)) != join(X0,top)
| join(X0,top) != top
| join(X0,join(one,top)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X0,join(one,top)))),bind(Y,$fot(join(X0,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_3447,plain,
( join(X0,top) != top
| join(X0,join(one,top)) = top ),
inference(resolve,[$cnf( $equal(join(X0,join(one,top)),join(X0,top)) )],[refute_0_3445,refute_0_3446]) ).
cnf(refute_0_3448,plain,
join(X0,join(one,top)) = top,
inference(resolve,[$cnf( $equal(join(X0,top),top) )],[refute_0_3441,refute_0_3447]) ).
cnf(refute_0_3449,plain,
( join(X0,join(one,top)) != top
| join(top,X0) != join(X0,join(one,top))
| join(top,X0) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X0),join(X0,join(one,top))) ),[1],$fot(top)]]) ).
cnf(refute_0_3450,plain,
( join(top,X0) != join(X0,join(one,top))
| join(top,X0) = top ),
inference(resolve,[$cnf( $equal(join(X0,join(one,top)),top) )],[refute_0_3448,refute_0_3449]) ).
cnf(refute_0_3451,plain,
( join(one,join(top,X0)) != join(X0,join(one,top))
| join(top,X0) = top ),
inference(resolve,[$cnf( $equal(join(top,X0),join(X0,join(one,top))) )],[refute_0_3440,refute_0_3450]) ).
cnf(refute_0_3452,plain,
join(top,X0) = top,
inference(resolve,[$cnf( $equal(join(one,join(top,X0)),join(X0,join(one,top))) )],[refute_0_3369,refute_0_3451]) ).
cnf(refute_0_3453,plain,
join(top,X_65) = top,
inference(subst,[],[refute_0_3452:[bind(X0,$fot(X_65))]]) ).
cnf(refute_0_3454,plain,
( join(X_31,join(X_65,complement(X_31))) != join(top,X_65)
| join(top,X_65) != top
| join(X_31,join(X_65,complement(X_31))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,join(X_65,complement(X_31))),top) ),[0],$fot(join(top,X_65))]]) ).
cnf(refute_0_3455,plain,
( join(X_31,join(X_65,complement(X_31))) != join(top,X_65)
| join(X_31,join(X_65,complement(X_31))) = top ),
inference(resolve,[$cnf( $equal(join(top,X_65),top) )],[refute_0_3453,refute_0_3454]) ).
cnf(refute_0_3456,plain,
( join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)) != join(top,X_65)
| join(X_31,join(X_65,complement(X_31))) = top ),
inference(resolve,[$cnf( $equal(join(X_31,join(X_65,complement(X_31))),join(top,X_65)) )],[refute_0_3329,refute_0_3455]) ).
cnf(refute_0_3457,plain,
join(X_31,join(X_65,complement(X_31))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_31),join(meet(X_31,complement(complement(X_31))),X_65)),join(top,X_65)) )],[refute_0_3315,refute_0_3456]) ).
cnf(refute_0_3458,plain,
join(X_213,join(X_65,complement(X_213))) = top,
inference(subst,[],[refute_0_3457:[bind(X_31,$fot(X_213))]]) ).
cnf(refute_0_3459,plain,
( complement(X_213) != join(complement(join(X_213,join(X_65,complement(X_213)))),meet(complement(X_213),join(X_65,complement(X_213))))
| join(X_213,join(X_65,complement(X_213))) != top
| complement(X_213) = join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_213),join(complement(join(X_213,join(X_65,complement(X_213)))),meet(complement(X_213),join(X_65,complement(X_213))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_3460,plain,
( complement(X_213) != join(complement(join(X_213,join(X_65,complement(X_213)))),meet(complement(X_213),join(X_65,complement(X_213))))
| complement(X_213) = join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) ),
inference(resolve,[$cnf( $equal(join(X_213,join(X_65,complement(X_213))),top) )],[refute_0_3458,refute_0_3459]) ).
cnf(refute_0_3461,plain,
complement(X_213) = join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))),
inference(resolve,[$cnf( $equal(complement(X_213),join(complement(join(X_213,join(X_65,complement(X_213)))),meet(complement(X_213),join(X_65,complement(X_213))))) )],[refute_0_3309,refute_0_3460]) ).
cnf(refute_0_3462,plain,
join(zero,meet(complement(X_213),join(X_65,complement(X_213)))) = meet(complement(X_213),join(X_65,complement(X_213))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(X_213),join(X_65,complement(X_213)))))]]) ).
cnf(refute_0_3463,plain,
join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) = join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))))]]) ).
cnf(refute_0_3464,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) != join(complement(top),meet(complement(X_213),join(X_65,complement(X_213))))
| join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) = join(zero,meet(complement(X_213),join(X_65,complement(X_213)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))),join(complement(top),meet(complement(X_213),join(X_65,complement(X_213))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3465,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) = join(zero,meet(complement(X_213),join(X_65,complement(X_213)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))),join(complement(top),meet(complement(X_213),join(X_65,complement(X_213))))) )],[refute_0_3463,refute_0_3464]) ).
cnf(refute_0_3466,plain,
join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) = join(zero,meet(complement(X_213),join(X_65,complement(X_213)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3465]) ).
cnf(refute_0_3467,plain,
( join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) != join(zero,meet(complement(X_213),join(X_65,complement(X_213))))
| join(zero,meet(complement(X_213),join(X_65,complement(X_213)))) != meet(complement(X_213),join(X_65,complement(X_213)))
| join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) = meet(complement(X_213),join(X_65,complement(X_213))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))))),bind(Y,$fot(join(zero,meet(complement(X_213),join(X_65,complement(X_213)))))),bind(Z,$fot(meet(complement(X_213),join(X_65,complement(X_213)))))]]) ).
cnf(refute_0_3468,plain,
( join(zero,meet(complement(X_213),join(X_65,complement(X_213)))) != meet(complement(X_213),join(X_65,complement(X_213)))
| join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) = meet(complement(X_213),join(X_65,complement(X_213))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))),join(zero,meet(complement(X_213),join(X_65,complement(X_213))))) )],[refute_0_3466,refute_0_3467]) ).
cnf(refute_0_3469,plain,
join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) = meet(complement(X_213),join(X_65,complement(X_213))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_213),join(X_65,complement(X_213)))),meet(complement(X_213),join(X_65,complement(X_213)))) )],[refute_0_3462,refute_0_3468]) ).
cnf(refute_0_3470,plain,
( complement(X_213) != join(complement(top),meet(complement(X_213),join(X_65,complement(X_213))))
| join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))) != meet(complement(X_213),join(X_65,complement(X_213)))
| complement(X_213) = meet(complement(X_213),join(X_65,complement(X_213))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_213),meet(complement(X_213),join(X_65,complement(X_213)))) ),[0],$fot(join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))))]]) ).
cnf(refute_0_3471,plain,
( complement(X_213) != join(complement(top),meet(complement(X_213),join(X_65,complement(X_213))))
| complement(X_213) = meet(complement(X_213),join(X_65,complement(X_213))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),join(X_65,complement(X_213)))),meet(complement(X_213),join(X_65,complement(X_213)))) )],[refute_0_3469,refute_0_3470]) ).
cnf(refute_0_3472,plain,
complement(X_213) = meet(complement(X_213),join(X_65,complement(X_213))),
inference(resolve,[$cnf( $equal(complement(X_213),join(complement(top),meet(complement(X_213),join(X_65,complement(X_213))))) )],[refute_0_3461,refute_0_3471]) ).
cnf(refute_0_3473,plain,
complement(X_222) = meet(complement(X_222),join(X_223,complement(X_222))),
inference(subst,[],[refute_0_3472:[bind(X_213,$fot(X_222)),bind(X_65,$fot(X_223))]]) ).
cnf(refute_0_3474,plain,
join(complement(X_222),X_223) = join(X_223,complement(X_222)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(complement(X_222))),bind(X1,$fot(X_223))]]) ).
cnf(refute_0_3475,plain,
( join(complement(X_222),X_223) != join(X_223,complement(X_222))
| join(X_223,complement(X_222)) = join(complement(X_222),X_223) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(X_222),X_223))),bind(Y,$fot(join(X_223,complement(X_222))))]]) ).
cnf(refute_0_3476,plain,
join(X_223,complement(X_222)) = join(complement(X_222),X_223),
inference(resolve,[$cnf( $equal(join(complement(X_222),X_223),join(X_223,complement(X_222))) )],[refute_0_3474,refute_0_3475]) ).
cnf(refute_0_3477,plain,
( complement(X_222) != meet(complement(X_222),join(X_223,complement(X_222)))
| join(X_223,complement(X_222)) != join(complement(X_222),X_223)
| complement(X_222) = meet(complement(X_222),join(complement(X_222),X_223)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_222),meet(complement(X_222),join(X_223,complement(X_222)))) ),[1,1],$fot(join(complement(X_222),X_223))]]) ).
cnf(refute_0_3478,plain,
( complement(X_222) != meet(complement(X_222),join(X_223,complement(X_222)))
| complement(X_222) = meet(complement(X_222),join(complement(X_222),X_223)) ),
inference(resolve,[$cnf( $equal(join(X_223,complement(X_222)),join(complement(X_222),X_223)) )],[refute_0_3476,refute_0_3477]) ).
cnf(refute_0_3479,plain,
complement(X_222) = meet(complement(X_222),join(complement(X_222),X_223)),
inference(resolve,[$cnf( $equal(complement(X_222),meet(complement(X_222),join(X_223,complement(X_222)))) )],[refute_0_3473,refute_0_3478]) ).
cnf(refute_0_3480,plain,
complement(converse(complement(one))) = meet(complement(converse(complement(one))),join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))),
inference(subst,[],[refute_0_3479:[bind(X_222,$fot(converse(complement(one)))),bind(X_223,$fot(meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_3481,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_3482,plain,
complement(complement(converse(complement(one)))) = join(complement(join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(converse(complement(one))))),bind(X_32,$fot(meet(one,meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3483,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(one,converse(complement(one))))),meet(complement(complement(one)),meet(one,converse(complement(one))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3484,plain,
converse(complement(one)) = join(meet(complement(one),converse(complement(one))),meet(complement(complement(one)),converse(complement(one)))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(complement(one)))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_3485,plain,
complement(one) = join(complement(join(one,converse(X_7))),meet(complement(one),converse(X_7))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(converse(X_7)))]]) ).
cnf(refute_0_3486,plain,
( complement(one) != join(complement(join(one,converse(X_7))),meet(complement(one),converse(X_7)))
| join(one,converse(X_7)) != converse(join(one,X_7))
| complement(one) = join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,converse(X_7))),meet(complement(one),converse(X_7)))) ),[1,0,0],$fot(converse(join(one,X_7)))]]) ).
cnf(refute_0_3487,plain,
( complement(one) != join(complement(join(one,converse(X_7))),meet(complement(one),converse(X_7)))
| complement(one) = join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7))) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_7)),converse(join(one,X_7))) )],[refute_0_666,refute_0_3486]) ).
cnf(refute_0_3488,plain,
complement(one) = join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,converse(X_7))),meet(complement(one),converse(X_7)))) )],[refute_0_3485,refute_0_3487]) ).
cnf(refute_0_3489,plain,
complement(one) = join(complement(converse(join(one,complement(one)))),meet(complement(one),converse(complement(one)))),
inference(subst,[],[refute_0_3488:[bind(X_7,$fot(complement(one)))]]) ).
cnf(refute_0_3490,plain,
( complement(one) != join(complement(converse(join(one,complement(one)))),meet(complement(one),converse(complement(one))))
| join(one,complement(one)) != top
| complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(converse(join(one,complement(one)))),meet(complement(one),converse(complement(one))))) ),[1,0,0,0],$fot(top)]]) ).
cnf(refute_0_3491,plain,
( complement(one) != join(complement(converse(join(one,complement(one)))),meet(complement(one),converse(complement(one))))
| complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_748,refute_0_3490]) ).
cnf(refute_0_3492,plain,
complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(one)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(join(one,complement(one)))),meet(complement(one),converse(complement(one))))) )],[refute_0_3489,refute_0_3491]) ).
cnf(refute_0_3493,plain,
join(zero,meet(complement(one),converse(complement(one)))) = meet(complement(one),converse(complement(one))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_3494,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(one)))) = join(complement(converse(top)),meet(complement(one),converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_3495,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(one),converse(complement(one)))) != join(complement(converse(top)),meet(complement(one),converse(complement(one))))
| join(complement(converse(top)),meet(complement(one),converse(complement(one)))) = join(zero,meet(complement(one),converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(one)))),join(complement(converse(top)),meet(complement(one),converse(complement(one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3496,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(one),converse(complement(one)))) = join(zero,meet(complement(one),converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(one)))),join(complement(converse(top)),meet(complement(one),converse(complement(one))))) )],[refute_0_3494,refute_0_3495]) ).
cnf(refute_0_3497,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(one)))) = join(zero,meet(complement(one),converse(complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_3496]) ).
cnf(refute_0_3498,plain,
( join(complement(converse(top)),meet(complement(one),converse(complement(one)))) != join(zero,meet(complement(one),converse(complement(one))))
| join(zero,meet(complement(one),converse(complement(one)))) != meet(complement(one),converse(complement(one)))
| join(complement(converse(top)),meet(complement(one),converse(complement(one)))) = meet(complement(one),converse(complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),meet(complement(one),converse(complement(one)))))),bind(Y,$fot(join(zero,meet(complement(one),converse(complement(one)))))),bind(Z,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_3499,plain,
( join(zero,meet(complement(one),converse(complement(one)))) != meet(complement(one),converse(complement(one)))
| join(complement(converse(top)),meet(complement(one),converse(complement(one)))) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(one)))),join(zero,meet(complement(one),converse(complement(one))))) )],[refute_0_3497,refute_0_3498]) ).
cnf(refute_0_3500,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(one)))) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),converse(complement(one)))),meet(complement(one),converse(complement(one)))) )],[refute_0_3493,refute_0_3499]) ).
cnf(refute_0_3501,plain,
( complement(one) != join(complement(converse(top)),meet(complement(one),converse(complement(one))))
| join(complement(converse(top)),meet(complement(one),converse(complement(one)))) != meet(complement(one),converse(complement(one)))
| complement(one) = meet(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),converse(complement(one)))) ),[0],$fot(join(complement(converse(top)),meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_3502,plain,
( complement(one) != join(complement(converse(top)),meet(complement(one),converse(complement(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(one)))),meet(complement(one),converse(complement(one)))) )],[refute_0_3500,refute_0_3501]) ).
cnf(refute_0_3503,plain,
complement(one) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(top)),meet(complement(one),converse(complement(one))))) )],[refute_0_3492,refute_0_3502]) ).
cnf(refute_0_3504,plain,
( complement(one) != meet(complement(one),converse(complement(one)))
| meet(complement(one),converse(complement(one))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_3505,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(one)))) )],[refute_0_3503,refute_0_3504]) ).
cnf(refute_0_3506,plain,
( converse(complement(one)) != join(meet(complement(one),converse(complement(one))),meet(complement(complement(one)),converse(complement(one))))
| meet(complement(one),converse(complement(one))) != complement(one)
| converse(complement(one)) = join(complement(one),meet(complement(complement(one)),converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),join(meet(complement(one),converse(complement(one))),meet(complement(complement(one)),converse(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_3507,plain,
( converse(complement(one)) != join(meet(complement(one),converse(complement(one))),meet(complement(complement(one)),converse(complement(one))))
| converse(complement(one)) = join(complement(one),meet(complement(complement(one)),converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_3505,refute_0_3506]) ).
cnf(refute_0_3508,plain,
converse(complement(one)) = join(complement(one),meet(complement(complement(one)),converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(complement(one),converse(complement(one))),meet(complement(complement(one)),converse(complement(one))))) )],[refute_0_3484,refute_0_3507]) ).
cnf(refute_0_3509,plain,
meet(complement(complement(one)),converse(complement(one))) = meet(complement(complement(one)),converse(complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),converse(complement(one))))]]) ).
cnf(refute_0_3510,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(one))) != meet(complement(complement(one)),converse(complement(one)))
| meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(complement(complement(one)),converse(complement(one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3511,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(complement(complement(one)),converse(complement(one)))) )],[refute_0_3509,refute_0_3510]) ).
cnf(refute_0_3512,plain,
meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_3511]) ).
cnf(refute_0_3513,plain,
join(complement(one),meet(complement(complement(one)),converse(complement(one)))) = join(complement(one),meet(complement(complement(one)),converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),converse(complement(one)))))]]) ).
cnf(refute_0_3514,plain,
( join(complement(one),meet(complement(complement(one)),converse(complement(one)))) != join(complement(one),meet(complement(complement(one)),converse(complement(one))))
| meet(complement(complement(one)),converse(complement(one))) != meet(one,converse(complement(one)))
| join(complement(one),meet(complement(complement(one)),converse(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(one)))),join(complement(one),meet(complement(complement(one)),converse(complement(one))))) ),[1,1],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_3515,plain,
( meet(complement(complement(one)),converse(complement(one))) != meet(one,converse(complement(one)))
| join(complement(one),meet(complement(complement(one)),converse(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(one)))),join(complement(one),meet(complement(complement(one)),converse(complement(one))))) )],[refute_0_3513,refute_0_3514]) ).
cnf(refute_0_3516,plain,
join(complement(one),meet(complement(complement(one)),converse(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(one,converse(complement(one)))) )],[refute_0_3512,refute_0_3515]) ).
cnf(refute_0_3517,plain,
( converse(complement(one)) != join(complement(one),meet(complement(complement(one)),converse(complement(one))))
| join(complement(one),meet(complement(complement(one)),converse(complement(one)))) != join(complement(one),meet(one,converse(complement(one))))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),converse(complement(one)))))]]) ).
cnf(refute_0_3518,plain,
( converse(complement(one)) != join(complement(one),meet(complement(complement(one)),converse(complement(one))))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_3516,refute_0_3517]) ).
cnf(refute_0_3519,plain,
converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(complement(complement(one)),converse(complement(one))))) )],[refute_0_3508,refute_0_3518]) ).
cnf(refute_0_3520,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) = converse(complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(join(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3521,plain,
join(complement(one),meet(one,converse(complement(one)))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_3519,refute_0_3520]) ).
cnf(refute_0_3522,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,converse(complement(one))))),meet(complement(complement(one)),meet(one,converse(complement(one)))))
| join(complement(one),meet(one,converse(complement(one)))) != converse(complement(one))
| complement(complement(one)) = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,converse(complement(one))))),meet(complement(complement(one)),meet(one,converse(complement(one)))))) ),[1,0,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3523,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,converse(complement(one))))),meet(complement(complement(one)),meet(one,converse(complement(one)))))
| complement(complement(one)) = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),converse(complement(one))) )],[refute_0_3521,refute_0_3522]) ).
cnf(refute_0_3524,plain,
complement(complement(one)) = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,converse(complement(one))))),meet(complement(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_3483,refute_0_3523]) ).
cnf(refute_0_3525,plain,
( complement(complement(one)) != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))
| complement(complement(one)) != one
| one = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_3526,plain,
( complement(complement(one)) != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))
| one = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_3525]) ).
cnf(refute_0_3527,plain,
meet(complement(complement(one)),meet(one,converse(complement(one)))) = meet(complement(complement(one)),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3528,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,converse(complement(one)))) != meet(complement(complement(one)),meet(one,converse(complement(one))))
| meet(complement(complement(one)),meet(one,converse(complement(one)))) = meet(one,meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(one)))),meet(complement(complement(one)),meet(one,converse(complement(one))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3529,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,converse(complement(one)))) = meet(one,meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(one)))),meet(complement(complement(one)),meet(one,converse(complement(one))))) )],[refute_0_3527,refute_0_3528]) ).
cnf(refute_0_3530,plain,
meet(complement(complement(one)),meet(one,converse(complement(one)))) = meet(one,meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_3529]) ).
cnf(refute_0_3531,plain,
join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3532,plain,
( join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))
| meet(complement(complement(one)),meet(one,converse(complement(one)))) != meet(one,meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) = join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))),join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))) ),[1,1],$fot(meet(one,meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3533,plain,
( meet(complement(complement(one)),meet(one,converse(complement(one)))) != meet(one,meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) = join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))),join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_3531,refute_0_3532]) ).
cnf(refute_0_3534,plain,
join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) = join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(one)))),meet(one,meet(one,converse(complement(one))))) )],[refute_0_3530,refute_0_3533]) ).
cnf(refute_0_3535,plain,
( join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))) != join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))
| one != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))
| one = join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))) ),[1],$fot(join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3536,plain,
( one != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))
| one = join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one))))),join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))) )],[refute_0_3534,refute_0_3535]) ).
cnf(refute_0_3537,plain,
( complement(complement(one)) != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))
| one = join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_3526,refute_0_3536]) ).
cnf(refute_0_3538,plain,
one = join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(one))),meet(complement(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_3524,refute_0_3537]) ).
cnf(refute_0_3539,plain,
( one != join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))
| join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_3540,plain,
join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))) )],[refute_0_3538,refute_0_3539]) ).
cnf(refute_0_3541,plain,
( complement(complement(converse(complement(one)))) != join(complement(join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))
| join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))) != one
| complement(complement(converse(complement(one)))) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(one)))),join(complement(join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_3542,plain,
( complement(complement(converse(complement(one)))) != join(complement(join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))
| complement(complement(converse(complement(one)))) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one))))),one) )],[refute_0_3540,refute_0_3541]) ).
cnf(refute_0_3543,plain,
complement(complement(converse(complement(one)))) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),join(complement(join(complement(converse(complement(one))),meet(one,meet(one,converse(complement(one)))))),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))) )],[refute_0_3482,refute_0_3542]) ).
cnf(refute_0_3544,plain,
complement(complement(converse(complement(one)))) = converse(complement(one)),
inference(subst,[],[refute_0_303:[bind(X0,$fot(converse(complement(one))))]]) ).
cnf(refute_0_3545,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| complement(complement(converse(complement(one)))) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))
| converse(complement(one)) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(one)))),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))) ),[0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3546,plain,
( complement(complement(converse(complement(one)))) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))
| converse(complement(one)) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),converse(complement(one))) )],[refute_0_3544,refute_0_3545]) ).
cnf(refute_0_3547,plain,
meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))) = meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3548,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))) != meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))
| meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))) = meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3549,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))) = meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) )],[refute_0_3547,refute_0_3548]) ).
cnf(refute_0_3550,plain,
meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))) = meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),converse(complement(one))) )],[refute_0_3544,refute_0_3549]) ).
cnf(refute_0_3551,plain,
join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_3552,plain,
( join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))
| meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))) != meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))
| join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) = join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))) ),[1,1],$fot(meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3553,plain,
( meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))) != meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))
| join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) = join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))) )],[refute_0_3551,refute_0_3552]) ).
cnf(refute_0_3554,plain,
join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) = join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) )],[refute_0_3550,refute_0_3553]) ).
cnf(refute_0_3555,plain,
( converse(complement(one)) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))
| join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))) != join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),[0],$fot(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_3556,plain,
( converse(complement(one)) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one)))))),join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) )],[refute_0_3554,refute_0_3555]) ).
cnf(refute_0_3557,plain,
( complement(complement(converse(complement(one)))) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))) )],[refute_0_3546,refute_0_3556]) ).
cnf(refute_0_3558,plain,
converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,meet(one,converse(complement(one))))))) )],[refute_0_3543,refute_0_3557]) ).
cnf(refute_0_3559,plain,
( converse(complement(one)) != join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))
| join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) = converse(complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_3560,plain,
join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) )],[refute_0_3558,refute_0_3559]) ).
cnf(refute_0_3561,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) != converse(complement(one))
| complement(complement(one)) = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) ),[1,0,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3562,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| complement(complement(one)) = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))),converse(complement(one))) )],[refute_0_3560,refute_0_3561]) ).
cnf(refute_0_3563,plain,
complement(complement(one)) = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) )],[refute_0_3481,refute_0_3562]) ).
cnf(refute_0_3564,plain,
( complement(complement(one)) != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| complement(complement(one)) != one
| one = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_3565,plain,
( complement(complement(one)) != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| one = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_3564]) ).
cnf(refute_0_3566,plain,
meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) = meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_3567,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) != meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))
| meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) = meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_3568,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) = meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) )],[refute_0_3566,refute_0_3567]) ).
cnf(refute_0_3569,plain,
meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) = meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_3568]) ).
cnf(refute_0_3570,plain,
join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) = join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_3571,plain,
( join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) != meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))
| join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) = join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) ),[1,1],$fot(meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_3572,plain,
( meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))) != meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))
| join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) = join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) )],[refute_0_3570,refute_0_3571]) ).
cnf(refute_0_3573,plain,
join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) = join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) )],[refute_0_3569,refute_0_3572]) ).
cnf(refute_0_3574,plain,
( join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) != join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| one != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| one = join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) ),[1],$fot(join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_3575,plain,
( one != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| one = join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) )],[refute_0_3573,refute_0_3574]) ).
cnf(refute_0_3576,plain,
( complement(complement(one)) != join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| one = join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) )],[refute_0_3565,refute_0_3575]) ).
cnf(refute_0_3577,plain,
one = join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(one))),meet(complement(complement(one)),meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) )],[refute_0_3563,refute_0_3576]) ).
cnf(refute_0_3578,plain,
( one != join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))
| join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_3579,plain,
join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one)))))))) )],[refute_0_3577,refute_0_3578]) ).
cnf(refute_0_3580,plain,
( complement(converse(complement(one))) != meet(complement(converse(complement(one))),join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))))
| join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))) != one
| complement(converse(complement(one))) = meet(complement(converse(complement(one))),one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(one))),meet(complement(converse(complement(one))),join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_3581,plain,
( complement(converse(complement(one))) != meet(complement(converse(complement(one))),join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))))
| complement(converse(complement(one))) = meet(complement(converse(complement(one))),one) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))),one) )],[refute_0_3579,refute_0_3580]) ).
cnf(refute_0_3582,plain,
complement(converse(complement(one))) = meet(complement(converse(complement(one))),one),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),meet(complement(converse(complement(one))),join(complement(converse(complement(one))),meet(one,meet(converse(complement(one)),meet(one,meet(one,converse(complement(one))))))))) )],[refute_0_3480,refute_0_3581]) ).
cnf(refute_0_3583,plain,
meet(complement(converse(complement(one))),one) = meet(one,complement(converse(complement(one)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_3584,plain,
( complement(converse(complement(one))) != meet(complement(converse(complement(one))),one)
| meet(complement(converse(complement(one))),one) != meet(one,complement(converse(complement(one))))
| complement(converse(complement(one))) = meet(one,complement(converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(one))),meet(one,complement(converse(complement(one))))) ),[0],$fot(meet(complement(converse(complement(one))),one))]]) ).
cnf(refute_0_3585,plain,
( complement(converse(complement(one))) != meet(complement(converse(complement(one))),one)
| complement(converse(complement(one))) = meet(one,complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(one))),one),meet(one,complement(converse(complement(one))))) )],[refute_0_3583,refute_0_3584]) ).
cnf(refute_0_3586,plain,
complement(converse(complement(one))) = meet(one,complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),meet(complement(converse(complement(one))),one)) )],[refute_0_3582,refute_0_3585]) ).
cnf(refute_0_3587,plain,
( complement(converse(complement(one))) != meet(one,complement(converse(complement(one))))
| meet(one,complement(converse(complement(one)))) = complement(converse(complement(one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(complement(one))))),bind(Y,$fot(meet(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_3588,plain,
meet(one,complement(converse(complement(one)))) = complement(converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),meet(one,complement(converse(complement(one))))) )],[refute_0_3586,refute_0_3587]) ).
cnf(refute_0_3589,plain,
( meet(one,complement(converse(complement(one)))) != complement(converse(complement(one)))
| one != join(meet(one,complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),one))
| one = join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),one))) ),[1,0],$fot(complement(converse(complement(one))))]]) ).
cnf(refute_0_3590,plain,
( one != join(meet(one,complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),one))
| one = join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(one)))),complement(converse(complement(one)))) )],[refute_0_3588,refute_0_3589]) ).
cnf(refute_0_3591,plain,
one = join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),one))) )],[refute_0_3308,refute_0_3590]) ).
cnf(refute_0_3592,plain,
meet(one,complement(complement(converse(complement(one))))) = meet(one,complement(complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3593,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(one,complement(complement(converse(complement(one))))) != meet(one,complement(complement(converse(complement(one)))))
| meet(one,complement(complement(converse(complement(one))))) = meet(one,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(complement(one))))),meet(one,complement(complement(converse(complement(one)))))) ),[1,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3594,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(one,complement(complement(converse(complement(one))))) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(one))))),meet(one,complement(complement(converse(complement(one)))))) )],[refute_0_3592,refute_0_3593]) ).
cnf(refute_0_3595,plain,
meet(one,complement(complement(converse(complement(one))))) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),converse(complement(one))) )],[refute_0_3544,refute_0_3594]) ).
cnf(refute_0_3596,plain,
meet(complement(complement(converse(complement(one)))),one) = meet(one,complement(complement(converse(complement(one))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3597,plain,
( meet(complement(complement(converse(complement(one)))),one) != meet(one,complement(complement(converse(complement(one)))))
| meet(one,complement(complement(converse(complement(one))))) != meet(one,converse(complement(one)))
| meet(complement(complement(converse(complement(one)))),one) = meet(one,converse(complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(complement(one)))),one))),bind(Y,$fot(meet(one,complement(complement(converse(complement(one))))))),bind(Z,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3598,plain,
( meet(one,complement(complement(converse(complement(one))))) != meet(one,converse(complement(one)))
| meet(complement(complement(converse(complement(one)))),one) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),one),meet(one,complement(complement(converse(complement(one)))))) )],[refute_0_3596,refute_0_3597]) ).
cnf(refute_0_3599,plain,
meet(complement(complement(converse(complement(one)))),one) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(one))))),meet(one,converse(complement(one)))) )],[refute_0_3595,refute_0_3598]) ).
cnf(refute_0_3600,plain,
join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)) = join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)))]]) ).
cnf(refute_0_3601,plain,
( join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)) != join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one))
| meet(complement(complement(converse(complement(one)))),one) != meet(one,converse(complement(one)))
| join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)) = join(complement(converse(complement(one))),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)),join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one))) ),[1,1],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_3602,plain,
( meet(complement(complement(converse(complement(one)))),one) != meet(one,converse(complement(one)))
| join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)) = join(complement(converse(complement(one))),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)),join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one))) )],[refute_0_3600,refute_0_3601]) ).
cnf(refute_0_3603,plain,
join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)) = join(complement(converse(complement(one))),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),one),meet(one,converse(complement(one)))) )],[refute_0_3599,refute_0_3602]) ).
cnf(refute_0_3604,plain,
( join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)) != join(complement(converse(complement(one))),meet(one,converse(complement(one))))
| one != join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one))
| one = join(complement(converse(complement(one))),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one))) ),[1],$fot(join(complement(converse(complement(one))),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3605,plain,
( one != join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one))
| one = join(complement(converse(complement(one))),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one)),join(complement(converse(complement(one))),meet(one,converse(complement(one))))) )],[refute_0_3603,refute_0_3604]) ).
cnf(refute_0_3606,plain,
one = join(complement(converse(complement(one))),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(complement(complement(converse(complement(one)))),one))) )],[refute_0_3591,refute_0_3605]) ).
cnf(refute_0_3607,plain,
( one != join(complement(converse(complement(one))),meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),meet(one,converse(complement(one)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(one))),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3608,plain,
join(complement(converse(complement(one))),meet(one,converse(complement(one)))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(one))),meet(one,converse(complement(one))))) )],[refute_0_3606,refute_0_3607]) ).
cnf(refute_0_3609,plain,
( complement(complement(converse(complement(one)))) != join(complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))
| join(complement(converse(complement(one))),meet(one,converse(complement(one)))) != one
| complement(complement(converse(complement(one)))) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(one)))),join(complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_3610,plain,
( complement(complement(converse(complement(one)))) != join(complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))
| complement(complement(converse(complement(one)))) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),meet(one,converse(complement(one)))),one) )],[refute_0_3608,refute_0_3609]) ).
cnf(refute_0_3611,plain,
complement(complement(converse(complement(one)))) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),join(complement(join(complement(converse(complement(one))),meet(one,converse(complement(one))))),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))) )],[refute_0_3307,refute_0_3610]) ).
cnf(refute_0_3612,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| complement(complement(converse(complement(one)))) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))
| converse(complement(one)) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(one)))),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))) ),[0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3613,plain,
( complement(complement(converse(complement(one)))) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))
| converse(complement(one)) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),converse(complement(one))) )],[refute_0_3544,refute_0_3612]) ).
cnf(refute_0_3614,plain,
meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))) = meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3615,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))) != meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))
| meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))) = meet(converse(complement(one)),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3616,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))) = meet(converse(complement(one)),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) )],[refute_0_3614,refute_0_3615]) ).
cnf(refute_0_3617,plain,
meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))) = meet(converse(complement(one)),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),converse(complement(one))) )],[refute_0_3544,refute_0_3616]) ).
cnf(refute_0_3618,plain,
join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) = join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3619,plain,
( join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))
| meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))) != meet(converse(complement(one)),meet(one,converse(complement(one))))
| join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))) ),[1,1],$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_3620,plain,
( meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))) != meet(converse(complement(one)),meet(one,converse(complement(one))))
| join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))) )],[refute_0_3618,refute_0_3619]) ).
cnf(refute_0_3621,plain,
join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))),meet(converse(complement(one)),meet(one,converse(complement(one))))) )],[refute_0_3617,refute_0_3620]) ).
cnf(refute_0_3622,plain,
( converse(complement(one)) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))
| join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))) != join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))) ),[0],$fot(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_3623,plain,
( converse(complement(one)) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one))))),join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_3621,refute_0_3622]) ).
cnf(refute_0_3624,plain,
( complement(complement(converse(complement(one)))) != join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))) )],[refute_0_3613,refute_0_3623]) ).
cnf(refute_0_3625,plain,
converse(complement(one)) = join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),join(complement(one),meet(complement(complement(converse(complement(one)))),meet(one,converse(complement(one)))))) )],[refute_0_3611,refute_0_3624]) ).
cnf(refute_0_3626,plain,
( converse(complement(one)) != join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))
| join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) = converse(complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_3627,plain,
join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_3625,refute_0_3626]) ).
cnf(refute_0_3628,plain,
( converse(join(X_494,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))) != converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))
| join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))) != converse(complement(one))
| converse(join(X_494,converse(complement(one)))) = converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_494,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))),converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))) ),[0,0,1],$fot(converse(complement(one)))]]) ).
cnf(refute_0_3629,plain,
( converse(join(X_494,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))) != converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))
| converse(join(X_494,converse(complement(one)))) = converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))),converse(complement(one))) )],[refute_0_3627,refute_0_3628]) ).
cnf(refute_0_3630,plain,
converse(join(X_494,converse(complement(one)))) = converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(X_494,join(complement(one),meet(converse(complement(one)),meet(one,converse(complement(one))))))),converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))) )],[refute_0_3306,refute_0_3629]) ).
cnf(refute_0_3631,plain,
join(converse(X_494),complement(one)) = join(complement(one),converse(X_494)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(X_494)))]]) ).
cnf(refute_0_3632,plain,
converse(join(X_494,converse(complement(one)))) = join(converse(X_494),complement(one)),
inference(subst,[],[refute_0_425:[bind(X0,$fot(complement(one))),bind(X_6,$fot(X_494))]]) ).
cnf(refute_0_3633,plain,
( converse(join(X_494,converse(complement(one)))) != join(converse(X_494),complement(one))
| join(converse(X_494),complement(one)) != join(complement(one),converse(X_494))
| converse(join(X_494,converse(complement(one)))) = join(complement(one),converse(X_494)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(X_494,converse(complement(one)))))),bind(Y,$fot(join(converse(X_494),complement(one)))),bind(Z,$fot(join(complement(one),converse(X_494))))]]) ).
cnf(refute_0_3634,plain,
( join(converse(X_494),complement(one)) != join(complement(one),converse(X_494))
| converse(join(X_494,converse(complement(one)))) = join(complement(one),converse(X_494)) ),
inference(resolve,[$cnf( $equal(converse(join(X_494,converse(complement(one)))),join(converse(X_494),complement(one))) )],[refute_0_3632,refute_0_3633]) ).
cnf(refute_0_3635,plain,
converse(join(X_494,converse(complement(one)))) = join(complement(one),converse(X_494)),
inference(resolve,[$cnf( $equal(join(converse(X_494),complement(one)),join(complement(one),converse(X_494))) )],[refute_0_3631,refute_0_3634]) ).
cnf(refute_0_3636,plain,
( converse(join(X_494,converse(complement(one)))) != converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))
| converse(join(X_494,converse(complement(one)))) != join(complement(one),converse(X_494))
| join(complement(one),converse(X_494)) = converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_494,converse(complement(one)))),converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))) ),[0],$fot(join(complement(one),converse(X_494)))]]) ).
cnf(refute_0_3637,plain,
( converse(join(X_494,converse(complement(one)))) != converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))
| join(complement(one),converse(X_494)) = converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_494,converse(complement(one)))),join(complement(one),converse(X_494))) )],[refute_0_3635,refute_0_3636]) ).
cnf(refute_0_3638,plain,
join(complement(one),converse(X_494)) = converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(X_494,converse(complement(one)))),converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))) )],[refute_0_3630,refute_0_3637]) ).
cnf(refute_0_3639,plain,
join(X_494,zero) = X_494,
inference(subst,[],[refute_0_571:[bind(X_66,$fot(X_494))]]) ).
cnf(refute_0_3640,plain,
meet(complement(one),zero) = zero,
inference(subst,[],[refute_0_3405:[bind(X_56,$fot(complement(one)))]]) ).
cnf(refute_0_3641,plain,
meet(one,complement(one)) = zero,
inference(subst,[],[refute_0_155:[bind(X0,$fot(one))]]) ).
cnf(refute_0_3642,plain,
converse(complement(one)) = complement(complement(converse(complement(one)))),
inference(subst,[],[refute_0_301:[bind(X0,$fot(converse(complement(one))))]]) ).
cnf(refute_0_3643,plain,
converse(converse(complement(converse(complement(one))))) = complement(converse(complement(one))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_3644,plain,
complement(complement(X0)) = meet(complement(complement(X0)),converse(join(one,complement(converse(join(complement(X0),one)))))),
inference(subst,[],[refute_0_2754:[bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_3645,plain,
( complement(complement(X0)) != X0
| complement(complement(X0)) != meet(complement(complement(X0)),converse(join(one,complement(converse(join(complement(X0),one))))))
| complement(complement(X0)) = meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),converse(join(one,complement(converse(join(complement(X0),one))))))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_3646,plain,
( complement(complement(X0)) != meet(complement(complement(X0)),converse(join(one,complement(converse(join(complement(X0),one))))))
| complement(complement(X0)) = meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_3645]) ).
cnf(refute_0_3647,plain,
complement(complement(X0)) = meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))),
inference(resolve,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),converse(join(one,complement(converse(join(complement(X0),one))))))) )],[refute_0_3644,refute_0_3646]) ).
cnf(refute_0_3648,plain,
( complement(complement(X0)) != X0
| complement(complement(X0)) != meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))
| X0 = meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X0)),meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))) ),[0],$fot(X0)]]) ).
cnf(refute_0_3649,plain,
( complement(complement(X0)) != meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))
| X0 = meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_3648]) ).
cnf(refute_0_3650,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_0_55:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_3651,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$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_3652,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( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_760,refute_0_3651]) ).
cnf(refute_0_3653,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_0_3650,refute_0_3652]) ).
cnf(refute_0_3654,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_0_59:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_3655,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_3656,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$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_3657,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_0_3655,refute_0_3656]) ).
cnf(refute_0_3658,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_0_3654,refute_0_3657]) ).
cnf(refute_0_3659,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_3660,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_3661,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( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_0_3659,refute_0_3660]) ).
cnf(refute_0_3662,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_0_3658,refute_0_3661]) ).
cnf(refute_0_3663,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$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_3664,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( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_0_3662,refute_0_3663]) ).
cnf(refute_0_3665,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_0_3653,refute_0_3664]) ).
cnf(refute_0_3666,plain,
join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(composition(X_335,complement(converse(composition(top,X_335)))))))) = complement(converse(X_335)),
inference(subst,[],[refute_0_3665:[bind(X0,$fot(X_335)),bind(X1,$fot(complement(converse(composition(top,X_335)))))]]) ).
cnf(refute_0_3667,plain,
composition(converse(X_81),top) = converse(composition(top,X_81)),
inference(subst,[],[refute_0_980:[bind(X_14,$fot(X_81))]]) ).
cnf(refute_0_3668,plain,
complement(composition(converse(X_81),top)) = complement(composition(converse(X_81),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X_81),top)))]]) ).
cnf(refute_0_3669,plain,
( complement(composition(converse(X_81),top)) != complement(composition(converse(X_81),top))
| composition(converse(X_81),top) != converse(composition(top,X_81))
| complement(composition(converse(X_81),top)) = complement(converse(composition(top,X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X_81),top)),complement(composition(converse(X_81),top))) ),[1,0],$fot(converse(composition(top,X_81)))]]) ).
cnf(refute_0_3670,plain,
( composition(converse(X_81),top) != converse(composition(top,X_81))
| complement(composition(converse(X_81),top)) = complement(converse(composition(top,X_81))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_81),top)),complement(composition(converse(X_81),top))) )],[refute_0_3668,refute_0_3669]) ).
cnf(refute_0_3671,plain,
complement(composition(converse(X_81),top)) = complement(converse(composition(top,X_81))),
inference(resolve,[$cnf( $equal(composition(converse(X_81),top),converse(composition(top,X_81))) )],[refute_0_3667,refute_0_3670]) ).
cnf(refute_0_3672,plain,
composition(X_81,complement(composition(converse(X_81),top))) = composition(X_81,complement(composition(converse(X_81),top))),
introduced(tautology,[refl,[$fot(composition(X_81,complement(composition(converse(X_81),top))))]]) ).
cnf(refute_0_3673,plain,
( complement(composition(converse(X_81),top)) != complement(converse(composition(top,X_81)))
| composition(X_81,complement(composition(converse(X_81),top))) != composition(X_81,complement(composition(converse(X_81),top)))
| composition(X_81,complement(composition(converse(X_81),top))) = composition(X_81,complement(converse(composition(top,X_81)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),top))),composition(X_81,complement(composition(converse(X_81),top)))) ),[1,1],$fot(complement(converse(composition(top,X_81))))]]) ).
cnf(refute_0_3674,plain,
( complement(composition(converse(X_81),top)) != complement(converse(composition(top,X_81)))
| composition(X_81,complement(composition(converse(X_81),top))) = composition(X_81,complement(converse(composition(top,X_81)))) ),
inference(resolve,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),top))),composition(X_81,complement(composition(converse(X_81),top)))) )],[refute_0_3672,refute_0_3673]) ).
cnf(refute_0_3675,plain,
composition(X_81,complement(composition(converse(X_81),top))) = composition(X_81,complement(converse(composition(top,X_81)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_81),top)),complement(converse(composition(top,X_81)))) )],[refute_0_3671,refute_0_3674]) ).
cnf(refute_0_3676,plain,
( composition(X_81,complement(composition(converse(X_81),top))) != composition(X_81,complement(converse(composition(top,X_81))))
| composition(X_81,complement(composition(converse(X_81),top))) != zero
| composition(X_81,complement(converse(composition(top,X_81)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),top))),zero) ),[0],$fot(composition(X_81,complement(converse(composition(top,X_81)))))]]) ).
cnf(refute_0_3677,plain,
( composition(X_81,complement(composition(converse(X_81),top))) != zero
| composition(X_81,complement(converse(composition(top,X_81)))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),top))),composition(X_81,complement(converse(composition(top,X_81))))) )],[refute_0_3675,refute_0_3676]) ).
cnf(refute_0_3678,plain,
composition(X_81,complement(converse(composition(top,X_81)))) = zero,
inference(resolve,[$cnf( $equal(composition(X_81,complement(composition(converse(X_81),top))),zero) )],[refute_0_469,refute_0_3677]) ).
cnf(refute_0_3679,plain,
composition(X_335,complement(converse(composition(top,X_335)))) = zero,
inference(subst,[],[refute_0_3678:[bind(X_81,$fot(X_335))]]) ).
cnf(refute_0_3680,plain,
( composition(X_335,complement(converse(composition(top,X_335)))) != zero
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(composition(X_335,complement(converse(composition(top,X_335)))))))) != complement(converse(X_335))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) = complement(converse(X_335)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(composition(X_335,complement(converse(composition(top,X_335)))))))),complement(converse(X_335))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_3681,plain,
( join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(composition(X_335,complement(converse(composition(top,X_335)))))))) != complement(converse(X_335))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) = complement(converse(X_335)) ),
inference(resolve,[$cnf( $equal(composition(X_335,complement(converse(composition(top,X_335)))),zero) )],[refute_0_3679,refute_0_3680]) ).
cnf(refute_0_3682,plain,
join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) = complement(converse(X_335)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(composition(X_335,complement(converse(composition(top,X_335)))))))),complement(converse(X_335))) )],[refute_0_3666,refute_0_3681]) ).
cnf(refute_0_3683,plain,
composition(complement(converse(composition(top,X_335))),complement(converse(zero))) = composition(complement(converse(composition(top,X_335))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,X_335))),complement(converse(zero))))]]) ).
cnf(refute_0_3684,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,X_335))),complement(converse(zero))) != composition(complement(converse(composition(top,X_335))),complement(converse(zero)))
| composition(complement(converse(composition(top,X_335))),complement(converse(zero))) = composition(complement(converse(composition(top,X_335))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,X_335))),complement(converse(zero))),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3685,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,X_335))),complement(converse(zero))) = composition(complement(converse(composition(top,X_335))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X_335))),complement(converse(zero))),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) )],[refute_0_3683,refute_0_3684]) ).
cnf(refute_0_3686,plain,
composition(complement(converse(composition(top,X_335))),complement(converse(zero))) = composition(complement(converse(composition(top,X_335))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_498,refute_0_3685]) ).
cnf(refute_0_3687,plain,
join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) = join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))))]]) ).
cnf(refute_0_3688,plain,
( composition(complement(converse(composition(top,X_335))),complement(converse(zero))) != composition(complement(converse(composition(top,X_335))),top)
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) != join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero))))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) = join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))),join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(converse(composition(top,X_335))),top))]]) ).
cnf(refute_0_3689,plain,
( composition(complement(converse(composition(top,X_335))),complement(converse(zero))) != composition(complement(converse(composition(top,X_335))),top)
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) = join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))),join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero))))) )],[refute_0_3687,refute_0_3688]) ).
cnf(refute_0_3690,plain,
join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) = join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X_335))),complement(converse(zero))),composition(complement(converse(composition(top,X_335))),top)) )],[refute_0_3686,refute_0_3689]) ).
cnf(refute_0_3691,plain,
( join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) != complement(converse(X_335))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) != join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = complement(converse(X_335)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))),complement(converse(X_335))) ),[0],$fot(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)))]]) ).
cnf(refute_0_3692,plain,
( join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))) != complement(converse(X_335))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = complement(converse(X_335)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))),join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top))) )],[refute_0_3690,refute_0_3691]) ).
cnf(refute_0_3693,plain,
join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = complement(converse(X_335)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),complement(converse(zero)))),complement(converse(X_335))) )],[refute_0_3682,refute_0_3692]) ).
cnf(refute_0_3694,plain,
join(complement(converse(X_335)),complement(converse(composition(top,X_335)))) = complement(meet(converse(X_335),converse(composition(top,X_335)))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(converse(X_335))),bind(X1,$fot(converse(composition(top,X_335))))]]) ).
cnf(refute_0_3695,plain,
join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,composition(top,X2)))),top)) = complement(converse(composition(top,X2))),
inference(subst,[],[refute_0_3693:[bind(X_335,$fot(composition(top,X2)))]]) ).
cnf(refute_0_3696,plain,
( composition(top,composition(top,X2)) != composition(top,X2)
| join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,composition(top,X2)))),top)) != complement(converse(composition(top,X2)))
| join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) = complement(converse(composition(top,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,composition(top,X2)))),top)),complement(converse(composition(top,X2)))) ),[0,1,0,0,0],$fot(composition(top,X2))]]) ).
cnf(refute_0_3697,plain,
( join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,composition(top,X2)))),top)) != complement(converse(composition(top,X2)))
| join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) = complement(converse(composition(top,X2))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(top,X2)) )],[refute_0_1042,refute_0_3696]) ).
cnf(refute_0_3698,plain,
join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) = complement(converse(composition(top,X2))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,composition(top,X2)))),top)),complement(converse(composition(top,X2)))) )],[refute_0_3695,refute_0_3697]) ).
cnf(refute_0_3699,plain,
composition(complement(converse(composition(top,X2))),join(one,top)) = composition(complement(converse(composition(top,X2))),join(one,top)),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,X2))),join(one,top)))]]) ).
cnf(refute_0_3700,plain,
( composition(complement(converse(composition(top,X2))),join(one,top)) != composition(complement(converse(composition(top,X2))),join(one,top))
| join(one,top) != top
| composition(complement(converse(composition(top,X2))),join(one,top)) = composition(complement(converse(composition(top,X2))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,X2))),join(one,top)),composition(complement(converse(composition(top,X2))),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3701,plain,
( join(one,top) != top
| composition(complement(converse(composition(top,X2))),join(one,top)) = composition(complement(converse(composition(top,X2))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X2))),join(one,top)),composition(complement(converse(composition(top,X2))),join(one,top))) )],[refute_0_3699,refute_0_3700]) ).
cnf(refute_0_3702,plain,
composition(complement(converse(composition(top,X2))),join(one,top)) = composition(complement(converse(composition(top,X2))),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_3701]) ).
cnf(refute_0_3703,plain,
converse(join(converse(X0),composition(X_114,converse(X0)))) = join(X0,converse(composition(X_114,converse(X0)))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(composition(X_114,converse(X0))))]]) ).
cnf(refute_0_3704,plain,
composition(join(X_114,one),converse(X0)) = join(converse(X0),composition(X_114,converse(X0))),
inference(subst,[],[refute_0_685:[bind(X_108,$fot(X_114)),bind(X_110,$fot(converse(X0)))]]) ).
cnf(refute_0_3705,plain,
( composition(join(X_114,one),converse(X0)) != join(converse(X0),composition(X_114,converse(X0)))
| join(converse(X0),composition(X_114,converse(X0))) = composition(join(X_114,one),converse(X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_114,one),converse(X0)))),bind(Y,$fot(join(converse(X0),composition(X_114,converse(X0)))))]]) ).
cnf(refute_0_3706,plain,
join(converse(X0),composition(X_114,converse(X0))) = composition(join(X_114,one),converse(X0)),
inference(resolve,[$cnf( $equal(composition(join(X_114,one),converse(X0)),join(converse(X0),composition(X_114,converse(X0)))) )],[refute_0_3704,refute_0_3705]) ).
cnf(refute_0_3707,plain,
( converse(join(converse(X0),composition(X_114,converse(X0)))) != join(X0,converse(composition(X_114,converse(X0))))
| join(converse(X0),composition(X_114,converse(X0))) != composition(join(X_114,one),converse(X0))
| converse(composition(join(X_114,one),converse(X0))) = join(X0,converse(composition(X_114,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(X_114,converse(X0)))),join(X0,converse(composition(X_114,converse(X0))))) ),[0,0],$fot(composition(join(X_114,one),converse(X0)))]]) ).
cnf(refute_0_3708,plain,
( converse(join(converse(X0),composition(X_114,converse(X0)))) != join(X0,converse(composition(X_114,converse(X0))))
| converse(composition(join(X_114,one),converse(X0))) = join(X0,converse(composition(X_114,converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(X_114,converse(X0))),composition(join(X_114,one),converse(X0))) )],[refute_0_3706,refute_0_3707]) ).
cnf(refute_0_3709,plain,
converse(composition(join(X_114,one),converse(X0))) = join(X0,converse(composition(X_114,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(X_114,converse(X0)))),join(X0,converse(composition(X_114,converse(X0))))) )],[refute_0_3703,refute_0_3708]) ).
cnf(refute_0_3710,plain,
converse(composition(join(X_114,one),converse(X0))) = composition(X0,converse(join(X_114,one))),
inference(subst,[],[refute_0_450:[bind(X_13,$fot(join(X_114,one)))]]) ).
cnf(refute_0_3711,plain,
( converse(composition(join(X_114,one),converse(X0))) != composition(X0,converse(join(X_114,one)))
| converse(composition(join(X_114,one),converse(X0))) != join(X0,converse(composition(X_114,converse(X0))))
| composition(X0,converse(join(X_114,one))) = join(X0,converse(composition(X_114,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_114,one),converse(X0))),join(X0,converse(composition(X_114,converse(X0))))) ),[0],$fot(composition(X0,converse(join(X_114,one))))]]) ).
cnf(refute_0_3712,plain,
( converse(composition(join(X_114,one),converse(X0))) != join(X0,converse(composition(X_114,converse(X0))))
| composition(X0,converse(join(X_114,one))) = join(X0,converse(composition(X_114,converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_114,one),converse(X0))),composition(X0,converse(join(X_114,one)))) )],[refute_0_3710,refute_0_3711]) ).
cnf(refute_0_3713,plain,
converse(composition(X_114,converse(X0))) = composition(X0,converse(X_114)),
inference(subst,[],[refute_0_450:[bind(X_13,$fot(X_114))]]) ).
cnf(refute_0_3714,plain,
join(X0,converse(composition(X_114,converse(X0)))) = join(X0,converse(composition(X_114,converse(X0)))),
introduced(tautology,[refl,[$fot(join(X0,converse(composition(X_114,converse(X0)))))]]) ).
cnf(refute_0_3715,plain,
( converse(composition(X_114,converse(X0))) != composition(X0,converse(X_114))
| join(X0,converse(composition(X_114,converse(X0)))) != join(X0,converse(composition(X_114,converse(X0))))
| join(X0,converse(composition(X_114,converse(X0)))) = join(X0,composition(X0,converse(X_114))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(composition(X_114,converse(X0)))),join(X0,converse(composition(X_114,converse(X0))))) ),[1,1],$fot(composition(X0,converse(X_114)))]]) ).
cnf(refute_0_3716,plain,
( converse(composition(X_114,converse(X0))) != composition(X0,converse(X_114))
| join(X0,converse(composition(X_114,converse(X0)))) = join(X0,composition(X0,converse(X_114))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_114,converse(X0)))),join(X0,converse(composition(X_114,converse(X0))))) )],[refute_0_3714,refute_0_3715]) ).
cnf(refute_0_3717,plain,
join(X0,converse(composition(X_114,converse(X0)))) = join(X0,composition(X0,converse(X_114))),
inference(resolve,[$cnf( $equal(converse(composition(X_114,converse(X0))),composition(X0,converse(X_114))) )],[refute_0_3713,refute_0_3716]) ).
cnf(refute_0_3718,plain,
( composition(X0,converse(join(X_114,one))) != join(X0,converse(composition(X_114,converse(X0))))
| join(X0,converse(composition(X_114,converse(X0)))) != join(X0,composition(X0,converse(X_114)))
| composition(X0,converse(join(X_114,one))) = join(X0,composition(X0,converse(X_114))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,converse(join(X_114,one))),join(X0,composition(X0,converse(X_114)))) ),[0],$fot(join(X0,converse(composition(X_114,converse(X0)))))]]) ).
cnf(refute_0_3719,plain,
( composition(X0,converse(join(X_114,one))) != join(X0,converse(composition(X_114,converse(X0))))
| composition(X0,converse(join(X_114,one))) = join(X0,composition(X0,converse(X_114))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_114,converse(X0)))),join(X0,composition(X0,converse(X_114)))) )],[refute_0_3717,refute_0_3718]) ).
cnf(refute_0_3720,plain,
( converse(composition(join(X_114,one),converse(X0))) != join(X0,converse(composition(X_114,converse(X0))))
| composition(X0,converse(join(X_114,one))) = join(X0,composition(X0,converse(X_114))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_114,one))),join(X0,converse(composition(X_114,converse(X0))))) )],[refute_0_3712,refute_0_3719]) ).
cnf(refute_0_3721,plain,
composition(X0,converse(join(X_114,one))) = join(X0,composition(X0,converse(X_114))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_114,one),converse(X0))),join(X0,converse(composition(X_114,converse(X0))))) )],[refute_0_3709,refute_0_3720]) ).
cnf(refute_0_3722,plain,
composition(X_302,converse(join(converse(X0),one))) = join(X_302,composition(X_302,converse(converse(X0)))),
inference(subst,[],[refute_0_3721:[bind(X0,$fot(X_302)),bind(X_114,$fot(converse(X0)))]]) ).
cnf(refute_0_3723,plain,
( composition(X_302,converse(join(converse(X0),one))) != join(X_302,composition(X_302,converse(converse(X0))))
| converse(converse(X0)) != X0
| composition(X_302,converse(join(converse(X0),one))) = join(X_302,composition(X_302,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_302,converse(join(converse(X0),one))),join(X_302,composition(X_302,converse(converse(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_3724,plain,
( composition(X_302,converse(join(converse(X0),one))) != join(X_302,composition(X_302,converse(converse(X0))))
| composition(X_302,converse(join(converse(X0),one))) = join(X_302,composition(X_302,X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_3723]) ).
cnf(refute_0_3725,plain,
composition(X_302,converse(join(converse(X0),one))) = join(X_302,composition(X_302,X0)),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(converse(X0),one))),join(X_302,composition(X_302,converse(converse(X0))))) )],[refute_0_3722,refute_0_3724]) ).
cnf(refute_0_3726,plain,
composition(X_302,converse(join(one,converse(X0)))) = composition(X_302,converse(join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(composition(X_302,converse(join(one,converse(X0)))))]]) ).
cnf(refute_0_3727,plain,
( composition(X_302,converse(join(one,converse(X0)))) != composition(X_302,converse(join(one,converse(X0))))
| converse(join(one,converse(X0))) != join(one,X0)
| composition(X_302,converse(join(one,converse(X0)))) = composition(X_302,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_302,converse(join(one,converse(X0)))),composition(X_302,converse(join(one,converse(X0))))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_3728,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| composition(X_302,converse(join(one,converse(X0)))) = composition(X_302,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(one,converse(X0)))),composition(X_302,converse(join(one,converse(X0))))) )],[refute_0_3726,refute_0_3727]) ).
cnf(refute_0_3729,plain,
composition(X_302,converse(join(one,converse(X0)))) = composition(X_302,join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_2644,refute_0_3728]) ).
cnf(refute_0_3730,plain,
composition(X_302,converse(join(X_303,one))) = join(X_302,composition(X_302,converse(X_303))),
inference(subst,[],[refute_0_3721:[bind(X0,$fot(X_302)),bind(X_114,$fot(X_303))]]) ).
cnf(refute_0_3731,plain,
join(one,X_303) = join(X_303,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_303))]]) ).
cnf(refute_0_3732,plain,
( join(one,X_303) != join(X_303,one)
| join(X_303,one) = join(one,X_303) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_303))),bind(Y,$fot(join(X_303,one)))]]) ).
cnf(refute_0_3733,plain,
join(X_303,one) = join(one,X_303),
inference(resolve,[$cnf( $equal(join(one,X_303),join(X_303,one)) )],[refute_0_3731,refute_0_3732]) ).
cnf(refute_0_3734,plain,
( composition(X_302,converse(join(X_303,one))) != join(X_302,composition(X_302,converse(X_303)))
| join(X_303,one) != join(one,X_303)
| composition(X_302,converse(join(one,X_303))) = join(X_302,composition(X_302,converse(X_303))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_302,converse(join(X_303,one))),join(X_302,composition(X_302,converse(X_303)))) ),[0,1,0],$fot(join(one,X_303))]]) ).
cnf(refute_0_3735,plain,
( composition(X_302,converse(join(X_303,one))) != join(X_302,composition(X_302,converse(X_303)))
| composition(X_302,converse(join(one,X_303))) = join(X_302,composition(X_302,converse(X_303))) ),
inference(resolve,[$cnf( $equal(join(X_303,one),join(one,X_303)) )],[refute_0_3733,refute_0_3734]) ).
cnf(refute_0_3736,plain,
composition(X_302,converse(join(one,X_303))) = join(X_302,composition(X_302,converse(X_303))),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(X_303,one))),join(X_302,composition(X_302,converse(X_303)))) )],[refute_0_3730,refute_0_3735]) ).
cnf(refute_0_3737,plain,
( composition(X0,converse(join(X_114,one))) != join(X0,composition(X0,converse(X_114)))
| join(X0,composition(X0,converse(X_114))) = composition(X0,converse(join(X_114,one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X0,converse(join(X_114,one))))),bind(Y,$fot(join(X0,composition(X0,converse(X_114)))))]]) ).
cnf(refute_0_3738,plain,
join(X0,composition(X0,converse(X_114))) = composition(X0,converse(join(X_114,one))),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_114,one))),join(X0,composition(X0,converse(X_114)))) )],[refute_0_3721,refute_0_3737]) ).
cnf(refute_0_3739,plain,
join(X_302,composition(X_302,converse(X_303))) = composition(X_302,converse(join(X_303,one))),
inference(subst,[],[refute_0_3738:[bind(X0,$fot(X_302)),bind(X_114,$fot(X_303))]]) ).
cnf(refute_0_3740,plain,
( composition(X_302,converse(join(one,X_303))) != join(X_302,composition(X_302,converse(X_303)))
| join(X_302,composition(X_302,converse(X_303))) != composition(X_302,converse(join(X_303,one)))
| composition(X_302,converse(join(one,X_303))) = composition(X_302,converse(join(X_303,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_302,converse(join(one,X_303))),composition(X_302,converse(join(X_303,one)))) ),[0],$fot(join(X_302,composition(X_302,converse(X_303))))]]) ).
cnf(refute_0_3741,plain,
( composition(X_302,converse(join(one,X_303))) != join(X_302,composition(X_302,converse(X_303)))
| composition(X_302,converse(join(one,X_303))) = composition(X_302,converse(join(X_303,one))) ),
inference(resolve,[$cnf( $equal(join(X_302,composition(X_302,converse(X_303))),composition(X_302,converse(join(X_303,one)))) )],[refute_0_3739,refute_0_3740]) ).
cnf(refute_0_3742,plain,
composition(X_302,converse(join(one,X_303))) = composition(X_302,converse(join(X_303,one))),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(one,X_303))),join(X_302,composition(X_302,converse(X_303)))) )],[refute_0_3736,refute_0_3741]) ).
cnf(refute_0_3743,plain,
( composition(X_302,converse(join(one,X_303))) != composition(X_302,converse(join(X_303,one)))
| composition(X_302,converse(join(X_303,one))) = composition(X_302,converse(join(one,X_303))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X_302,converse(join(one,X_303))))),bind(Y,$fot(composition(X_302,converse(join(X_303,one)))))]]) ).
cnf(refute_0_3744,plain,
composition(X_302,converse(join(X_303,one))) = composition(X_302,converse(join(one,X_303))),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(one,X_303))),composition(X_302,converse(join(X_303,one)))) )],[refute_0_3742,refute_0_3743]) ).
cnf(refute_0_3745,plain,
composition(X_302,converse(join(converse(X0),one))) = composition(X_302,converse(join(one,converse(X0)))),
inference(subst,[],[refute_0_3744:[bind(X_303,$fot(converse(X0)))]]) ).
cnf(refute_0_3746,plain,
( composition(X_302,converse(join(converse(X0),one))) != composition(X_302,converse(join(one,converse(X0))))
| composition(X_302,converse(join(one,converse(X0)))) != composition(X_302,join(one,X0))
| composition(X_302,converse(join(converse(X0),one))) = composition(X_302,join(one,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(X_302,converse(join(converse(X0),one))))),bind(Y,$fot(composition(X_302,converse(join(one,converse(X0)))))),bind(Z,$fot(composition(X_302,join(one,X0))))]]) ).
cnf(refute_0_3747,plain,
( composition(X_302,converse(join(one,converse(X0)))) != composition(X_302,join(one,X0))
| composition(X_302,converse(join(converse(X0),one))) = composition(X_302,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(converse(X0),one))),composition(X_302,converse(join(one,converse(X0))))) )],[refute_0_3745,refute_0_3746]) ).
cnf(refute_0_3748,plain,
composition(X_302,converse(join(converse(X0),one))) = composition(X_302,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(one,converse(X0)))),composition(X_302,join(one,X0))) )],[refute_0_3729,refute_0_3747]) ).
cnf(refute_0_3749,plain,
( composition(X_302,converse(join(converse(X0),one))) != composition(X_302,join(one,X0))
| composition(X_302,converse(join(converse(X0),one))) != join(X_302,composition(X_302,X0))
| composition(X_302,join(one,X0)) = join(X_302,composition(X_302,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_302,converse(join(converse(X0),one))),join(X_302,composition(X_302,X0))) ),[0],$fot(composition(X_302,join(one,X0)))]]) ).
cnf(refute_0_3750,plain,
( composition(X_302,converse(join(converse(X0),one))) != join(X_302,composition(X_302,X0))
| composition(X_302,join(one,X0)) = join(X_302,composition(X_302,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(converse(X0),one))),composition(X_302,join(one,X0))) )],[refute_0_3748,refute_0_3749]) ).
cnf(refute_0_3751,plain,
composition(X_302,join(one,X0)) = join(X_302,composition(X_302,X0)),
inference(resolve,[$cnf( $equal(composition(X_302,converse(join(converse(X0),one))),join(X_302,composition(X_302,X0))) )],[refute_0_3725,refute_0_3750]) ).
cnf(refute_0_3752,plain,
( composition(X_302,join(one,X0)) != join(X_302,composition(X_302,X0))
| join(X_302,composition(X_302,X0)) = composition(X_302,join(one,X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(X_302,join(one,X0)))),bind(Y,$fot(join(X_302,composition(X_302,X0))))]]) ).
cnf(refute_0_3753,plain,
join(X_302,composition(X_302,X0)) = composition(X_302,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_302,join(one,X0)),join(X_302,composition(X_302,X0))) )],[refute_0_3751,refute_0_3752]) ).
cnf(refute_0_3754,plain,
join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) = composition(complement(converse(composition(top,X2))),join(one,top)),
inference(subst,[],[refute_0_3753:[bind(X0,$fot(top)),bind(X_302,$fot(complement(converse(composition(top,X2)))))]]) ).
cnf(refute_0_3755,plain,
( composition(complement(converse(composition(top,X2))),join(one,top)) != composition(complement(converse(composition(top,X2))),top)
| join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) != composition(complement(converse(composition(top,X2))),join(one,top))
| join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) = composition(complement(converse(composition(top,X2))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)))),bind(Y,$fot(composition(complement(converse(composition(top,X2))),join(one,top)))),bind(Z,$fot(composition(complement(converse(composition(top,X2))),top)))]]) ).
cnf(refute_0_3756,plain,
( composition(complement(converse(composition(top,X2))),join(one,top)) != composition(complement(converse(composition(top,X2))),top)
| join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) = composition(complement(converse(composition(top,X2))),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)),composition(complement(converse(composition(top,X2))),join(one,top))) )],[refute_0_3754,refute_0_3755]) ).
cnf(refute_0_3757,plain,
join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) = composition(complement(converse(composition(top,X2))),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X2))),join(one,top)),composition(complement(converse(composition(top,X2))),top)) )],[refute_0_3702,refute_0_3756]) ).
cnf(refute_0_3758,plain,
( join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) != complement(converse(composition(top,X2)))
| join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) != composition(complement(converse(composition(top,X2))),top)
| composition(complement(converse(composition(top,X2))),top) = complement(converse(composition(top,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)),complement(converse(composition(top,X2)))) ),[0],$fot(composition(complement(converse(composition(top,X2))),top))]]) ).
cnf(refute_0_3759,plain,
( join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)) != complement(converse(composition(top,X2)))
| composition(complement(converse(composition(top,X2))),top) = complement(converse(composition(top,X2))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)),composition(complement(converse(composition(top,X2))),top)) )],[refute_0_3757,refute_0_3758]) ).
cnf(refute_0_3760,plain,
composition(complement(converse(composition(top,X2))),top) = complement(converse(composition(top,X2))),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,X2))),composition(complement(converse(composition(top,X2))),top)),complement(converse(composition(top,X2)))) )],[refute_0_3698,refute_0_3759]) ).
cnf(refute_0_3761,plain,
composition(complement(converse(composition(top,X_335))),top) = complement(converse(composition(top,X_335))),
inference(subst,[],[refute_0_3760:[bind(X2,$fot(X_335))]]) ).
cnf(refute_0_3762,plain,
join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)),
introduced(tautology,[refl,[$fot(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)))]]) ).
cnf(refute_0_3763,plain,
( composition(complement(converse(composition(top,X_335))),top) != complement(converse(composition(top,X_335)))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) != join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = join(complement(converse(X_335)),complement(converse(composition(top,X_335)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)),join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top))) ),[1,1],$fot(complement(converse(composition(top,X_335))))]]) ).
cnf(refute_0_3764,plain,
( composition(complement(converse(composition(top,X_335))),top) != complement(converse(composition(top,X_335)))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = join(complement(converse(X_335)),complement(converse(composition(top,X_335)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)),join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top))) )],[refute_0_3762,refute_0_3763]) ).
cnf(refute_0_3765,plain,
join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = join(complement(converse(X_335)),complement(converse(composition(top,X_335)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,X_335))),top),complement(converse(composition(top,X_335)))) )],[refute_0_3761,refute_0_3764]) ).
cnf(refute_0_3766,plain,
( join(complement(converse(X_335)),complement(converse(composition(top,X_335)))) != complement(meet(converse(X_335),converse(composition(top,X_335))))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) != join(complement(converse(X_335)),complement(converse(composition(top,X_335))))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = complement(meet(converse(X_335),converse(composition(top,X_335)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)))),bind(Y,$fot(join(complement(converse(X_335)),complement(converse(composition(top,X_335)))))),bind(Z,$fot(complement(meet(converse(X_335),converse(composition(top,X_335))))))]]) ).
cnf(refute_0_3767,plain,
( join(complement(converse(X_335)),complement(converse(composition(top,X_335)))) != complement(meet(converse(X_335),converse(composition(top,X_335))))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = complement(meet(converse(X_335),converse(composition(top,X_335)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)),join(complement(converse(X_335)),complement(converse(composition(top,X_335))))) )],[refute_0_3765,refute_0_3766]) ).
cnf(refute_0_3768,plain,
join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) = complement(meet(converse(X_335),converse(composition(top,X_335)))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),complement(converse(composition(top,X_335)))),complement(meet(converse(X_335),converse(composition(top,X_335))))) )],[refute_0_3694,refute_0_3767]) ).
cnf(refute_0_3769,plain,
( join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) != complement(converse(X_335))
| join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) != complement(meet(converse(X_335),converse(composition(top,X_335))))
| complement(meet(converse(X_335),converse(composition(top,X_335)))) = complement(converse(X_335)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)),complement(converse(X_335))) ),[0],$fot(complement(meet(converse(X_335),converse(composition(top,X_335)))))]]) ).
cnf(refute_0_3770,plain,
( join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)) != complement(converse(X_335))
| complement(meet(converse(X_335),converse(composition(top,X_335)))) = complement(converse(X_335)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)),complement(meet(converse(X_335),converse(composition(top,X_335))))) )],[refute_0_3768,refute_0_3769]) ).
cnf(refute_0_3771,plain,
complement(meet(converse(X_335),converse(composition(top,X_335)))) = complement(converse(X_335)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_335)),composition(complement(converse(composition(top,X_335))),top)),complement(converse(X_335))) )],[refute_0_3693,refute_0_3770]) ).
cnf(refute_0_3772,plain,
complement(meet(converse(join(X_6,X_7)),converse(composition(top,join(X_6,X_7))))) = complement(converse(join(X_6,X_7))),
inference(subst,[],[refute_0_3771:[bind(X_335,$fot(join(X_6,X_7)))]]) ).
cnf(refute_0_3773,plain,
( converse(join(X_7,X_6)) != converse(join(X_6,X_7))
| converse(join(X_6,X_7)) = converse(join(X_7,X_6)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_7,X_6)))),bind(Y,$fot(converse(join(X_6,X_7))))]]) ).
cnf(refute_0_3774,plain,
converse(join(X_6,X_7)) = converse(join(X_7,X_6)),
inference(resolve,[$cnf( $equal(converse(join(X_7,X_6)),converse(join(X_6,X_7))) )],[refute_0_2660,refute_0_3773]) ).
cnf(refute_0_3775,plain,
( complement(meet(converse(join(X_6,X_7)),converse(composition(top,join(X_6,X_7))))) != complement(converse(join(X_6,X_7)))
| converse(join(X_6,X_7)) != converse(join(X_7,X_6))
| complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))) = complement(converse(join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(join(X_6,X_7)),converse(composition(top,join(X_6,X_7))))),complement(converse(join(X_6,X_7)))) ),[0,0,0],$fot(converse(join(X_7,X_6)))]]) ).
cnf(refute_0_3776,plain,
( complement(meet(converse(join(X_6,X_7)),converse(composition(top,join(X_6,X_7))))) != complement(converse(join(X_6,X_7)))
| complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))) = complement(converse(join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,X_7)),converse(join(X_7,X_6))) )],[refute_0_3774,refute_0_3775]) ).
cnf(refute_0_3777,plain,
complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))) = complement(converse(join(X_6,X_7))),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(X_6,X_7)),converse(composition(top,join(X_6,X_7))))),complement(converse(join(X_6,X_7)))) )],[refute_0_3772,refute_0_3776]) ).
cnf(refute_0_3778,plain,
join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))))))) = complement(converse(join(X_102,X_101))),
inference(subst,[],[refute_0_3665:[bind(X0,$fot(join(X_102,X_101))),bind(X1,$fot(complement(converse(composition(top,join(X_101,X_102))))))]]) ).
cnf(refute_0_3779,plain,
composition(join(X_102,X_101),complement(composition(converse(join(X_102,X_101)),top))) = zero,
inference(subst,[],[refute_0_469:[bind(X_81,$fot(join(X_102,X_101)))]]) ).
cnf(refute_0_3780,plain,
( composition(join(X_102,X_101),complement(composition(converse(join(X_102,X_101)),top))) != zero
| converse(join(X_102,X_101)) != converse(join(X_101,X_102))
| composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_102,X_101),complement(composition(converse(join(X_102,X_101)),top))),zero) ),[0,1,0,0],$fot(converse(join(X_101,X_102)))]]) ).
cnf(refute_0_3781,plain,
( composition(join(X_102,X_101),complement(composition(converse(join(X_102,X_101)),top))) != zero
| composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(join(X_102,X_101)),converse(join(X_101,X_102))) )],[refute_0_2661,refute_0_3780]) ).
cnf(refute_0_3782,plain,
composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) = zero,
inference(resolve,[$cnf( $equal(composition(join(X_102,X_101),complement(composition(converse(join(X_102,X_101)),top))),zero) )],[refute_0_3779,refute_0_3781]) ).
cnf(refute_0_3783,plain,
composition(converse(join(X_101,X_102)),top) = converse(composition(top,join(X_101,X_102))),
inference(subst,[],[refute_0_980:[bind(X_14,$fot(join(X_101,X_102)))]]) ).
cnf(refute_0_3784,plain,
complement(composition(converse(join(X_101,X_102)),top)) = complement(composition(converse(join(X_101,X_102)),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(join(X_101,X_102)),top)))]]) ).
cnf(refute_0_3785,plain,
( complement(composition(converse(join(X_101,X_102)),top)) != complement(composition(converse(join(X_101,X_102)),top))
| composition(converse(join(X_101,X_102)),top) != converse(composition(top,join(X_101,X_102)))
| complement(composition(converse(join(X_101,X_102)),top)) = complement(converse(composition(top,join(X_101,X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(join(X_101,X_102)),top)),complement(composition(converse(join(X_101,X_102)),top))) ),[1,0],$fot(converse(composition(top,join(X_101,X_102))))]]) ).
cnf(refute_0_3786,plain,
( composition(converse(join(X_101,X_102)),top) != converse(composition(top,join(X_101,X_102)))
| complement(composition(converse(join(X_101,X_102)),top)) = complement(converse(composition(top,join(X_101,X_102)))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(join(X_101,X_102)),top)),complement(composition(converse(join(X_101,X_102)),top))) )],[refute_0_3784,refute_0_3785]) ).
cnf(refute_0_3787,plain,
complement(composition(converse(join(X_101,X_102)),top)) = complement(converse(composition(top,join(X_101,X_102)))),
inference(resolve,[$cnf( $equal(composition(converse(join(X_101,X_102)),top),converse(composition(top,join(X_101,X_102)))) )],[refute_0_3783,refute_0_3786]) ).
cnf(refute_0_3788,plain,
composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) = composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))),
introduced(tautology,[refl,[$fot(composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))))]]) ).
cnf(refute_0_3789,plain,
( complement(composition(converse(join(X_101,X_102)),top)) != complement(converse(composition(top,join(X_101,X_102))))
| composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) != composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top)))
| composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) = composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))),composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top)))) ),[1,1],$fot(complement(converse(composition(top,join(X_101,X_102)))))]]) ).
cnf(refute_0_3790,plain,
( complement(composition(converse(join(X_101,X_102)),top)) != complement(converse(composition(top,join(X_101,X_102))))
| composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) = composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))) ),
inference(resolve,[$cnf( $equal(composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))),composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top)))) )],[refute_0_3788,refute_0_3789]) ).
cnf(refute_0_3791,plain,
composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) = composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))),
inference(resolve,[$cnf( $equal(complement(composition(converse(join(X_101,X_102)),top)),complement(converse(composition(top,join(X_101,X_102))))) )],[refute_0_3787,refute_0_3790]) ).
cnf(refute_0_3792,plain,
( composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) != composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102)))))
| composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) != zero
| composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))),zero) ),[0],$fot(composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))))]]) ).
cnf(refute_0_3793,plain,
( composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))) != zero
| composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))),composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102)))))) )],[refute_0_3791,refute_0_3792]) ).
cnf(refute_0_3794,plain,
composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(X_102,X_101),complement(composition(converse(join(X_101,X_102)),top))),zero) )],[refute_0_3782,refute_0_3793]) ).
cnf(refute_0_3795,plain,
( composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))) != zero
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))))))) != complement(converse(join(X_102,X_101)))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) = complement(converse(join(X_102,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))))))),complement(converse(join(X_102,X_101)))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_3796,plain,
( join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))))))) != complement(converse(join(X_102,X_101)))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) = complement(converse(join(X_102,X_101))) ),
inference(resolve,[$cnf( $equal(composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))),zero) )],[refute_0_3794,refute_0_3795]) ).
cnf(refute_0_3797,plain,
join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) = complement(converse(join(X_102,X_101))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(composition(join(X_102,X_101),complement(converse(composition(top,join(X_101,X_102))))))))),complement(converse(join(X_102,X_101)))) )],[refute_0_3778,refute_0_3796]) ).
cnf(refute_0_3798,plain,
composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))) = composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))))]]) ).
cnf(refute_0_3799,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))) != composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))
| composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))) = composition(complement(converse(composition(top,join(X_101,X_102)))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_3800,plain,
( complement(converse(zero)) != top
| composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))) = composition(complement(converse(composition(top,join(X_101,X_102)))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) )],[refute_0_3798,refute_0_3799]) ).
cnf(refute_0_3801,plain,
composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))) = composition(complement(converse(composition(top,join(X_101,X_102)))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_498,refute_0_3800]) ).
cnf(refute_0_3802,plain,
join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) = join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))))]]) ).
cnf(refute_0_3803,plain,
( composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))) != composition(complement(converse(composition(top,join(X_101,X_102)))),top)
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) != join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) = join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))),join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(converse(composition(top,join(X_101,X_102)))),top))]]) ).
cnf(refute_0_3804,plain,
( composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))) != composition(complement(converse(composition(top,join(X_101,X_102)))),top)
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) = join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))),join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))))) )],[refute_0_3802,refute_0_3803]) ).
cnf(refute_0_3805,plain,
join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) = join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) )],[refute_0_3801,refute_0_3804]) ).
cnf(refute_0_3806,plain,
( join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) != complement(converse(join(X_102,X_101)))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) != join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = complement(converse(join(X_102,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))),complement(converse(join(X_102,X_101)))) ),[0],$fot(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)))]]) ).
cnf(refute_0_3807,plain,
( join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))) != complement(converse(join(X_102,X_101)))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = complement(converse(join(X_102,X_101))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))),join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top))) )],[refute_0_3805,refute_0_3806]) ).
cnf(refute_0_3808,plain,
join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = complement(converse(join(X_102,X_101))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),complement(converse(zero)))),complement(converse(join(X_102,X_101)))) )],[refute_0_3797,refute_0_3807]) ).
cnf(refute_0_3809,plain,
join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102))))) = complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102))))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(converse(join(X_102,X_101)))),bind(X1,$fot(converse(composition(top,join(X_101,X_102)))))]]) ).
cnf(refute_0_3810,plain,
composition(complement(converse(composition(top,join(X_101,X_102)))),top) = complement(converse(composition(top,join(X_101,X_102)))),
inference(subst,[],[refute_0_3760:[bind(X2,$fot(join(X_101,X_102)))]]) ).
cnf(refute_0_3811,plain,
join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)),
introduced(tautology,[refl,[$fot(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)))]]) ).
cnf(refute_0_3812,plain,
( composition(complement(converse(composition(top,join(X_101,X_102)))),top) != complement(converse(composition(top,join(X_101,X_102))))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) != join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)),join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top))) ),[1,1],$fot(complement(converse(composition(top,join(X_101,X_102)))))]]) ).
cnf(refute_0_3813,plain,
( composition(complement(converse(composition(top,join(X_101,X_102)))),top) != complement(converse(composition(top,join(X_101,X_102))))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)),join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top))) )],[refute_0_3811,refute_0_3812]) ).
cnf(refute_0_3814,plain,
join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,join(X_101,X_102)))),top),complement(converse(composition(top,join(X_101,X_102))))) )],[refute_0_3810,refute_0_3813]) ).
cnf(refute_0_3815,plain,
( join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102))))) != complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102)))))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) != join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102)))))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)))),bind(Y,$fot(join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102))))))),bind(Z,$fot(complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102)))))))]]) ).
cnf(refute_0_3816,plain,
( join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102))))) != complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102)))))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)),join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102)))))) )],[refute_0_3814,refute_0_3815]) ).
cnf(refute_0_3817,plain,
join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) = complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102))))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),complement(converse(composition(top,join(X_101,X_102))))),complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102)))))) )],[refute_0_3809,refute_0_3816]) ).
cnf(refute_0_3818,plain,
( join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) != complement(converse(join(X_102,X_101)))
| join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) != complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102)))))
| complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102))))) = complement(converse(join(X_102,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)),complement(converse(join(X_102,X_101)))) ),[0],$fot(complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102))))))]]) ).
cnf(refute_0_3819,plain,
( join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)) != complement(converse(join(X_102,X_101)))
| complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102))))) = complement(converse(join(X_102,X_101))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)),complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102)))))) )],[refute_0_3817,refute_0_3818]) ).
cnf(refute_0_3820,plain,
complement(meet(converse(join(X_102,X_101)),converse(composition(top,join(X_101,X_102))))) = complement(converse(join(X_102,X_101))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_102,X_101))),composition(complement(converse(composition(top,join(X_101,X_102)))),top)),complement(converse(join(X_102,X_101)))) )],[refute_0_3808,refute_0_3819]) ).
cnf(refute_0_3821,plain,
complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))) = complement(converse(join(X_7,X_6))),
inference(subst,[],[refute_0_3820:[bind(X_101,$fot(X_6)),bind(X_102,$fot(X_7))]]) ).
cnf(refute_0_3822,plain,
( complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))) != complement(converse(join(X_6,X_7)))
| complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))) != complement(converse(join(X_7,X_6)))
| complement(converse(join(X_7,X_6))) = complement(converse(join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))),complement(converse(join(X_6,X_7)))) ),[0],$fot(complement(converse(join(X_7,X_6))))]]) ).
cnf(refute_0_3823,plain,
( complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))) != complement(converse(join(X_6,X_7)))
| complement(converse(join(X_7,X_6))) = complement(converse(join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))),complement(converse(join(X_7,X_6)))) )],[refute_0_3821,refute_0_3822]) ).
cnf(refute_0_3824,plain,
complement(converse(join(X_7,X_6))) = complement(converse(join(X_6,X_7))),
inference(resolve,[$cnf( $equal(complement(meet(converse(join(X_7,X_6)),converse(composition(top,join(X_6,X_7))))),complement(converse(join(X_6,X_7)))) )],[refute_0_3777,refute_0_3823]) ).
cnf(refute_0_3825,plain,
( complement(converse(join(X_7,X_6))) != complement(converse(join(X_6,X_7)))
| complement(converse(join(X_6,X_7))) = complement(converse(join(X_7,X_6))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(join(X_7,X_6))))),bind(Y,$fot(complement(converse(join(X_6,X_7)))))]]) ).
cnf(refute_0_3826,plain,
complement(converse(join(X_6,X_7))) = complement(converse(join(X_7,X_6))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_7,X_6))),complement(converse(join(X_6,X_7)))) )],[refute_0_3824,refute_0_3825]) ).
cnf(refute_0_3827,plain,
complement(converse(join(complement(X0),one))) = complement(converse(join(one,complement(X0)))),
inference(subst,[],[refute_0_3826:[bind(X_6,$fot(complement(X0))),bind(X_7,$fot(one))]]) ).
cnf(refute_0_3828,plain,
join(one,complement(converse(join(complement(X0),one)))) = join(one,complement(converse(join(complement(X0),one)))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(join(complement(X0),one)))))]]) ).
cnf(refute_0_3829,plain,
( complement(converse(join(complement(X0),one))) != complement(converse(join(one,complement(X0))))
| join(one,complement(converse(join(complement(X0),one)))) != join(one,complement(converse(join(complement(X0),one))))
| join(one,complement(converse(join(complement(X0),one)))) = join(one,complement(converse(join(one,complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(join(complement(X0),one)))),join(one,complement(converse(join(complement(X0),one))))) ),[1,1],$fot(complement(converse(join(one,complement(X0)))))]]) ).
cnf(refute_0_3830,plain,
( complement(converse(join(complement(X0),one))) != complement(converse(join(one,complement(X0))))
| join(one,complement(converse(join(complement(X0),one)))) = join(one,complement(converse(join(one,complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(complement(X0),one)))),join(one,complement(converse(join(complement(X0),one))))) )],[refute_0_3828,refute_0_3829]) ).
cnf(refute_0_3831,plain,
join(one,complement(converse(join(complement(X0),one)))) = join(one,complement(converse(join(one,complement(X0))))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(X0),one))),complement(converse(join(one,complement(X0))))) )],[refute_0_3827,refute_0_3830]) ).
cnf(refute_0_3832,plain,
converse(join(one,complement(converse(join(complement(X0),one))))) = converse(join(one,complement(converse(join(complement(X0),one))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(join(complement(X0),one))))))]]) ).
cnf(refute_0_3833,plain,
( converse(join(one,complement(converse(join(complement(X0),one))))) != converse(join(one,complement(converse(join(complement(X0),one)))))
| join(one,complement(converse(join(complement(X0),one)))) != join(one,complement(converse(join(one,complement(X0)))))
| converse(join(one,complement(converse(join(complement(X0),one))))) = converse(join(one,complement(converse(join(one,complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X0),one))))),converse(join(one,complement(converse(join(complement(X0),one)))))) ),[1,0],$fot(join(one,complement(converse(join(one,complement(X0))))))]]) ).
cnf(refute_0_3834,plain,
( join(one,complement(converse(join(complement(X0),one)))) != join(one,complement(converse(join(one,complement(X0)))))
| converse(join(one,complement(converse(join(complement(X0),one))))) = converse(join(one,complement(converse(join(one,complement(X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X0),one))))),converse(join(one,complement(converse(join(complement(X0),one)))))) )],[refute_0_3832,refute_0_3833]) ).
cnf(refute_0_3835,plain,
converse(join(one,complement(converse(join(complement(X0),one))))) = converse(join(one,complement(converse(join(one,complement(X0)))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(join(complement(X0),one)))),join(one,complement(converse(join(one,complement(X0)))))) )],[refute_0_3831,refute_0_3834]) ).
cnf(refute_0_3836,plain,
meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) = meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))),
introduced(tautology,[refl,[$fot(meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))))]]) ).
cnf(refute_0_3837,plain,
( converse(join(one,complement(converse(join(complement(X0),one))))) != converse(join(one,complement(converse(join(one,complement(X0))))))
| meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) != meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))
| meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) = meet(X0,converse(join(one,complement(converse(join(one,complement(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))),meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))) ),[1,1],$fot(converse(join(one,complement(converse(join(one,complement(X0)))))))]]) ).
cnf(refute_0_3838,plain,
( converse(join(one,complement(converse(join(complement(X0),one))))) != converse(join(one,complement(converse(join(one,complement(X0))))))
| meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) = meet(X0,converse(join(one,complement(converse(join(one,complement(X0))))))) ),
inference(resolve,[$cnf( $equal(meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))),meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))) )],[refute_0_3836,refute_0_3837]) ).
cnf(refute_0_3839,plain,
meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) = meet(X0,converse(join(one,complement(converse(join(one,complement(X0))))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(join(complement(X0),one))))),converse(join(one,complement(converse(join(one,complement(X0))))))) )],[refute_0_3835,refute_0_3838]) ).
cnf(refute_0_3840,plain,
( X0 != meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))
| meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))) != meet(X0,converse(join(one,complement(converse(join(one,complement(X0)))))))
| X0 = meet(X0,converse(join(one,complement(converse(join(one,complement(X0))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,converse(join(one,complement(converse(join(one,complement(X0)))))))) ),[0],$fot(meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))))]]) ).
cnf(refute_0_3841,plain,
( X0 != meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))
| X0 = meet(X0,converse(join(one,complement(converse(join(one,complement(X0))))))) ),
inference(resolve,[$cnf( $equal(meet(X0,converse(join(one,complement(converse(join(complement(X0),one)))))),meet(X0,converse(join(one,complement(converse(join(one,complement(X0)))))))) )],[refute_0_3839,refute_0_3840]) ).
cnf(refute_0_3842,plain,
( complement(complement(X0)) != meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))
| X0 = meet(X0,converse(join(one,complement(converse(join(one,complement(X0))))))) ),
inference(resolve,[$cnf( $equal(X0,meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))) )],[refute_0_3649,refute_0_3841]) ).
cnf(refute_0_3843,plain,
X0 = meet(X0,converse(join(one,complement(converse(join(one,complement(X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(X0)),meet(X0,converse(join(one,complement(converse(join(complement(X0),one))))))) )],[refute_0_3647,refute_0_3842]) ).
cnf(refute_0_3844,plain,
converse(complement(converse(complement(one)))) = meet(converse(complement(converse(complement(one)))),converse(join(one,complement(converse(join(one,complement(converse(complement(converse(complement(one))))))))))),
inference(subst,[],[refute_0_3843:[bind(X0,$fot(converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3845,plain,
converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) = converse(join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_796:[bind(X_64,$fot(complement(join(X_63,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3846,plain,
top = join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2821:[bind(X_161,$fot(X_63))]]) ).
cnf(refute_0_3847,plain,
( top != join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0))))
| join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3848,plain,
join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0))))) )],[refute_0_3846,refute_0_3847]) ).
cnf(refute_0_3849,plain,
( converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) != converse(join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))))
| join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))) != top
| converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))),converse(join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3850,plain,
( converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) != converse(join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))))
| converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))),top) )],[refute_0_3848,refute_0_3849]) ).
cnf(refute_0_3851,plain,
converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))),converse(join(one,join(X_63,complement(join(X_63,skolemFOFtoCNF_X0)))))) )],[refute_0_3845,refute_0_3850]) ).
cnf(refute_0_3852,plain,
converse(join(X0,join(X_102,X_101))) = join(converse(X0),converse(join(X_102,X_101))),
inference(subst,[],[refute_0_409:[bind(X1,$fot(join(X_102,X_101)))]]) ).
cnf(refute_0_3853,plain,
( converse(join(X0,join(X_102,X_101))) != join(converse(X0),converse(join(X_102,X_101)))
| converse(join(X_102,X_101)) != converse(join(X_101,X_102))
| converse(join(X0,join(X_102,X_101))) = join(converse(X0),converse(join(X_101,X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_102,X_101))),join(converse(X0),converse(join(X_102,X_101)))) ),[1,1],$fot(converse(join(X_101,X_102)))]]) ).
cnf(refute_0_3854,plain,
( converse(join(X0,join(X_102,X_101))) != join(converse(X0),converse(join(X_102,X_101)))
| converse(join(X0,join(X_102,X_101))) = join(converse(X0),converse(join(X_101,X_102))) ),
inference(resolve,[$cnf( $equal(converse(join(X_102,X_101)),converse(join(X_101,X_102))) )],[refute_0_2661,refute_0_3853]) ).
cnf(refute_0_3855,plain,
converse(join(X0,join(X_102,X_101))) = join(converse(X0),converse(join(X_101,X_102))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_102,X_101))),join(converse(X0),converse(join(X_102,X_101)))) )],[refute_0_3852,refute_0_3854]) ).
cnf(refute_0_3856,plain,
join(converse(X0),converse(join(X_101,X_102))) = converse(join(X0,join(X_101,X_102))),
inference(subst,[],[refute_0_430:[bind(X1,$fot(join(X_101,X_102)))]]) ).
cnf(refute_0_3857,plain,
( converse(join(X0,join(X_102,X_101))) != join(converse(X0),converse(join(X_101,X_102)))
| join(converse(X0),converse(join(X_101,X_102))) != converse(join(X0,join(X_101,X_102)))
| converse(join(X0,join(X_102,X_101))) = converse(join(X0,join(X_101,X_102))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_102,X_101))),converse(join(X0,join(X_101,X_102)))) ),[0],$fot(join(converse(X0),converse(join(X_101,X_102))))]]) ).
cnf(refute_0_3858,plain,
( converse(join(X0,join(X_102,X_101))) != join(converse(X0),converse(join(X_101,X_102)))
| converse(join(X0,join(X_102,X_101))) = converse(join(X0,join(X_101,X_102))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_101,X_102))),converse(join(X0,join(X_101,X_102)))) )],[refute_0_3856,refute_0_3857]) ).
cnf(refute_0_3859,plain,
converse(join(X0,join(X_102,X_101))) = converse(join(X0,join(X_101,X_102))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_102,X_101))),join(converse(X0),converse(join(X_101,X_102)))) )],[refute_0_3855,refute_0_3858]) ).
cnf(refute_0_3860,plain,
( converse(join(X0,join(X_102,X_101))) != converse(join(X0,join(X_101,X_102)))
| converse(join(X0,join(X_101,X_102))) = converse(join(X0,join(X_102,X_101))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,join(X_102,X_101))))),bind(Y,$fot(converse(join(X0,join(X_101,X_102)))))]]) ).
cnf(refute_0_3861,plain,
converse(join(X0,join(X_101,X_102))) = converse(join(X0,join(X_102,X_101))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_102,X_101))),converse(join(X0,join(X_101,X_102)))) )],[refute_0_3859,refute_0_3860]) ).
cnf(refute_0_3862,plain,
converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) = converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3861:[bind(X0,$fot(X_63)),bind(X_101,$fot(complement(join(X_63,skolemFOFtoCNF_X0)))),bind(X_102,$fot(one))]]) ).
cnf(refute_0_3863,plain,
( converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) != converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0)))))
| converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) != converse(top)
| converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))),converse(top)) ),[0],$fot(converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3864,plain,
( converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) != converse(top)
| converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))),converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0)))))) )],[refute_0_3862,refute_0_3863]) ).
cnf(refute_0_3865,plain,
( converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))) != converse(top)
| converse(top) != top
| converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))),top) ),[0],$fot(converse(top))]]) ).
cnf(refute_0_3866,plain,
( converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))) != converse(top)
| converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_3865]) ).
cnf(refute_0_3867,plain,
( converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))) != converse(top)
| converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))),converse(top)) )],[refute_0_3864,refute_0_3866]) ).
cnf(refute_0_3868,plain,
converse(join(X_63,join(one,complement(join(X_63,skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(converse(join(X_63,join(complement(join(X_63,skolemFOFtoCNF_X0)),one))),converse(top)) )],[refute_0_3851,refute_0_3867]) ).
cnf(refute_0_3869,plain,
converse(join(X_288,join(one,complement(join(X_288,skolemFOFtoCNF_X0))))) = top,
inference(subst,[],[refute_0_3868:[bind(X_63,$fot(X_288))]]) ).
cnf(refute_0_3870,plain,
join(skolemFOFtoCNF_X0,X_288) = join(X_288,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_49:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(X_288))]]) ).
cnf(refute_0_3871,plain,
( join(skolemFOFtoCNF_X0,X_288) != join(X_288,skolemFOFtoCNF_X0)
| join(X_288,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_288) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,X_288))),bind(Y,$fot(join(X_288,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_3872,plain,
join(X_288,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_288),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_288),join(X_288,skolemFOFtoCNF_X0)) )],[refute_0_3870,refute_0_3871]) ).
cnf(refute_0_3873,plain,
( converse(join(X_288,join(one,complement(join(X_288,skolemFOFtoCNF_X0))))) != top
| join(X_288,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_288)
| converse(join(X_288,join(one,complement(join(skolemFOFtoCNF_X0,X_288))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_288,join(one,complement(join(X_288,skolemFOFtoCNF_X0))))),top) ),[0,0,1,1,0],$fot(join(skolemFOFtoCNF_X0,X_288))]]) ).
cnf(refute_0_3874,plain,
( converse(join(X_288,join(one,complement(join(X_288,skolemFOFtoCNF_X0))))) != top
| converse(join(X_288,join(one,complement(join(skolemFOFtoCNF_X0,X_288))))) = top ),
inference(resolve,[$cnf( $equal(join(X_288,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_288)) )],[refute_0_3872,refute_0_3873]) ).
cnf(refute_0_3875,plain,
converse(join(X_288,join(one,complement(join(skolemFOFtoCNF_X0,X_288))))) = top,
inference(resolve,[$cnf( $equal(converse(join(X_288,join(one,complement(join(X_288,skolemFOFtoCNF_X0))))),top) )],[refute_0_3869,refute_0_3874]) ).
cnf(refute_0_3876,plain,
converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))) = top,
inference(subst,[],[refute_0_3875:[bind(X_288,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_3877,plain,
converse(complement(converse(complement(one)))) = join(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(complement(converse(complement(one)))))),bind(X_55,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3878,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X_32,$fot(converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3879,plain,
join(X_63,join(converse(complement(converse(X_63))),X_65)) = join(join(X_63,converse(complement(converse(X_63)))),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(X_63)),bind(X1,$fot(converse(complement(converse(X_63))))),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_3880,plain,
converse(top) = join(X_63,converse(complement(converse(X_63)))),
inference(subst,[],[refute_0_420:[bind(X_10,$fot(X_63))]]) ).
cnf(refute_0_3881,plain,
( converse(top) != join(X_63,converse(complement(converse(X_63))))
| join(X_63,converse(complement(converse(X_63)))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_63,converse(complement(converse(X_63))))))]]) ).
cnf(refute_0_3882,plain,
join(X_63,converse(complement(converse(X_63)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_63,converse(complement(converse(X_63))))) )],[refute_0_3880,refute_0_3881]) ).
cnf(refute_0_3883,plain,
( join(X_63,converse(complement(converse(X_63)))) != converse(top)
| join(X_63,join(converse(complement(converse(X_63))),X_65)) != join(join(X_63,converse(complement(converse(X_63)))),X_65)
| join(X_63,join(converse(complement(converse(X_63))),X_65)) = join(converse(top),X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_63,join(converse(complement(converse(X_63))),X_65)),join(join(X_63,converse(complement(converse(X_63)))),X_65)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_3884,plain,
( join(X_63,join(converse(complement(converse(X_63))),X_65)) != join(join(X_63,converse(complement(converse(X_63)))),X_65)
| join(X_63,join(converse(complement(converse(X_63))),X_65)) = join(converse(top),X_65) ),
inference(resolve,[$cnf( $equal(join(X_63,converse(complement(converse(X_63)))),converse(top)) )],[refute_0_3882,refute_0_3883]) ).
cnf(refute_0_3885,plain,
join(X_63,join(converse(complement(converse(X_63))),X_65)) = join(converse(top),X_65),
inference(resolve,[$cnf( $equal(join(X_63,join(converse(complement(converse(X_63))),X_65)),join(join(X_63,converse(complement(converse(X_63)))),X_65)) )],[refute_0_3879,refute_0_3884]) ).
cnf(refute_0_3886,plain,
join(converse(top),X_65) = join(converse(top),X_65),
introduced(tautology,[refl,[$fot(join(converse(top),X_65))]]) ).
cnf(refute_0_3887,plain,
( converse(top) != top
| join(converse(top),X_65) != join(converse(top),X_65)
| join(converse(top),X_65) = join(top,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_65),join(converse(top),X_65)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_3888,plain,
( converse(top) != top
| join(converse(top),X_65) = join(top,X_65) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_65),join(converse(top),X_65)) )],[refute_0_3886,refute_0_3887]) ).
cnf(refute_0_3889,plain,
join(converse(top),X_65) = join(top,X_65),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_3888]) ).
cnf(refute_0_3890,plain,
( join(X_63,join(converse(complement(converse(X_63))),X_65)) != join(converse(top),X_65)
| join(converse(top),X_65) != join(top,X_65)
| join(X_63,join(converse(complement(converse(X_63))),X_65)) = join(top,X_65) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_63,join(converse(complement(converse(X_63))),X_65)),join(top,X_65)) ),[0],$fot(join(converse(top),X_65))]]) ).
cnf(refute_0_3891,plain,
( join(X_63,join(converse(complement(converse(X_63))),X_65)) != join(converse(top),X_65)
| join(X_63,join(converse(complement(converse(X_63))),X_65)) = join(top,X_65) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_65),join(top,X_65)) )],[refute_0_3889,refute_0_3890]) ).
cnf(refute_0_3892,plain,
join(X_63,join(converse(complement(converse(X_63))),X_65)) = join(top,X_65),
inference(resolve,[$cnf( $equal(join(X_63,join(converse(complement(converse(X_63))),X_65)),join(converse(top),X_65)) )],[refute_0_3885,refute_0_3891]) ).
cnf(refute_0_3893,plain,
( join(X_63,join(converse(complement(converse(X_63))),X_65)) != join(top,X_65)
| join(top,X_65) != top
| join(X_63,join(converse(complement(converse(X_63))),X_65)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_63,join(converse(complement(converse(X_63))),X_65)),top) ),[0],$fot(join(top,X_65))]]) ).
cnf(refute_0_3894,plain,
( join(X_63,join(converse(complement(converse(X_63))),X_65)) != join(top,X_65)
| join(X_63,join(converse(complement(converse(X_63))),X_65)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_65),top) )],[refute_0_3453,refute_0_3893]) ).
cnf(refute_0_3895,plain,
join(X_63,join(converse(complement(converse(X_63))),X_65)) = top,
inference(resolve,[$cnf( $equal(join(X_63,join(converse(complement(converse(X_63))),X_65)),join(top,X_65)) )],[refute_0_3892,refute_0_3894]) ).
cnf(refute_0_3896,plain,
join(complement(one),join(converse(complement(converse(complement(one)))),meet(one,complement(skolemFOFtoCNF_X0)))) = top,
inference(subst,[],[refute_0_3895:[bind(X_63,$fot(complement(one))),bind(X_65,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3897,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3898,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(complement(skolemFOFtoCNF_X0),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3899,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(complement(skolemFOFtoCNF_X0),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_3301,refute_0_3898]) ).
cnf(refute_0_3900,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(complement(skolemFOFtoCNF_X0),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),X2)) )],[refute_0_3897,refute_0_3899]) ).
cnf(refute_0_3901,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X_224)) = join(complement(skolemFOFtoCNF_X0),X_224),
inference(subst,[],[refute_0_3900:[bind(X2,$fot(X_224))]]) ).
cnf(refute_0_3902,plain,
join(X_224,meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),X_224),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_224)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3903,plain,
( join(X_224,meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),X_224)
| join(meet(one,complement(skolemFOFtoCNF_X0)),X_224) = join(X_224,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_224,meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),X_224)))]]) ).
cnf(refute_0_3904,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),X_224) = join(X_224,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(X_224,meet(one,complement(skolemFOFtoCNF_X0))),join(meet(one,complement(skolemFOFtoCNF_X0)),X_224)) )],[refute_0_3902,refute_0_3903]) ).
cnf(refute_0_3905,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X_224)) != join(complement(skolemFOFtoCNF_X0),X_224)
| join(meet(one,complement(skolemFOFtoCNF_X0)),X_224) != join(X_224,meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),join(X_224,meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),X_224) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X_224)),join(complement(skolemFOFtoCNF_X0),X_224)) ),[0,1],$fot(join(X_224,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3906,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X_224)) != join(complement(skolemFOFtoCNF_X0),X_224)
| join(complement(one),join(X_224,meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),X_224) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),X_224),join(X_224,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_3904,refute_0_3905]) ).
cnf(refute_0_3907,plain,
join(complement(one),join(X_224,meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),X_224),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),X_224)),join(complement(skolemFOFtoCNF_X0),X_224)) )],[refute_0_3901,refute_0_3906]) ).
cnf(refute_0_3908,plain,
join(complement(one),join(converse(complement(converse(complement(one)))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),
inference(subst,[],[refute_0_3907:[bind(X_224,$fot(converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3909,plain,
( join(complement(one),join(converse(complement(converse(complement(one)))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))
| join(complement(one),join(converse(complement(converse(complement(one)))),meet(one,complement(skolemFOFtoCNF_X0)))) != top
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(complement(converse(complement(one)))),meet(one,complement(skolemFOFtoCNF_X0)))),top) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3910,plain,
( join(complement(one),join(converse(complement(converse(complement(one)))),meet(one,complement(skolemFOFtoCNF_X0)))) != top
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(complement(converse(complement(one)))),meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) )],[refute_0_3908,refute_0_3909]) ).
cnf(refute_0_3911,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))) = top,
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(complement(converse(complement(one)))),meet(one,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_3896,refute_0_3910]) ).
cnf(refute_0_3912,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))) != top
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_3913,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),top) )],[refute_0_3911,refute_0_3912]) ).
cnf(refute_0_3914,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) )],[refute_0_3878,refute_0_3913]) ).
cnf(refute_0_3915,plain,
complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_303:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_3916,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_3917,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_3916]) ).
cnf(refute_0_3918,plain,
join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_3919,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))) = meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3920,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))) != meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_3921,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) )],[refute_0_3919,refute_0_3920]) ).
cnf(refute_0_3922,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_3921]) ).
cnf(refute_0_3923,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_3924,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3925,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) )],[refute_0_3923,refute_0_3924]) ).
cnf(refute_0_3926,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) )],[refute_0_3922,refute_0_3925]) ).
cnf(refute_0_3927,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_3928,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3929,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) )],[refute_0_3927,refute_0_3928]) ).
cnf(refute_0_3930,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3929]) ).
cnf(refute_0_3931,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) != join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))))),bind(Y,$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))))),bind(Z,$fot(join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))))))]]) ).
cnf(refute_0_3932,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) != join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) )],[refute_0_3930,refute_0_3931]) ).
cnf(refute_0_3933,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))))) )],[refute_0_3926,refute_0_3932]) ).
cnf(refute_0_3934,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) != join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))))
| join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_3935,plain,
( join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))))) )],[refute_0_3933,refute_0_3934]) ).
cnf(refute_0_3936,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) )],[refute_0_3918,refute_0_3935]) ).
cnf(refute_0_3937,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))
| skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_3938,plain,
( skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one)))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) )],[refute_0_3936,refute_0_3937]) ).
cnf(refute_0_3939,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) )],[refute_0_3917,refute_0_3938]) ).
cnf(refute_0_3940,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(complement(one))))))) )],[refute_0_3914,refute_0_3939]) ).
cnf(refute_0_3941,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))
| meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_3942,plain,
meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one)))))) )],[refute_0_3940,refute_0_3941]) ).
cnf(refute_0_3943,plain,
( converse(complement(converse(complement(one)))) != join(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))) != skolemFOFtoCNF_X0
| converse(complement(converse(complement(one)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(one)))),join(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_3944,plain,
( converse(complement(converse(complement(one)))) != join(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| converse(complement(converse(complement(one)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),skolemFOFtoCNF_X0) )],[refute_0_3942,refute_0_3943]) ).
cnf(refute_0_3945,plain,
converse(complement(converse(complement(one)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(one)))),join(meet(skolemFOFtoCNF_X0,converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) )],[refute_0_3877,refute_0_3944]) ).
cnf(refute_0_3946,plain,
( converse(complement(converse(complement(one)))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) = converse(complement(converse(complement(one)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(converse(complement(one)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))]]) ).
cnf(refute_0_3947,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) = converse(complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(one)))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) )],[refute_0_3945,refute_0_3946]) ).
cnf(refute_0_3948,plain,
( converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))) != top
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) != converse(complement(converse(complement(one))))
| converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))),top) ),[0,0,1,1,0],$fot(converse(complement(converse(complement(one)))))]]) ).
cnf(refute_0_3949,plain,
( converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))) != top
| converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),converse(complement(converse(complement(one))))) )],[refute_0_3947,refute_0_3948]) ).
cnf(refute_0_3950,plain,
converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))),top) )],[refute_0_3876,refute_0_3949]) ).
cnf(refute_0_3951,plain,
converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(converse(X0),converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_409:[bind(X1,$fot(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_3952,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_64,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3953,plain,
converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_55,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_3954,plain,
complement(X1) = join(complement(join(X1,converse(join(X_433,complement(join(converse(X1),X_433)))))),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),
inference(subst,[],[refute_0_407:[bind(X_32,$fot(converse(join(X_433,complement(join(converse(X1),X_433))))))]]) ).
cnf(refute_0_3955,plain,
top = join(X1,converse(join(X_433,complement(join(converse(X1),X_433))))),
inference(subst,[],[refute_0_770:[bind(X0,$fot(X_433)),bind(X_6,$fot(X1))]]) ).
cnf(refute_0_3956,plain,
( top != join(X1,converse(join(X_433,complement(join(converse(X1),X_433)))))
| join(X1,converse(join(X_433,complement(join(converse(X1),X_433))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(X1,converse(join(X_433,complement(join(converse(X1),X_433)))))))]]) ).
cnf(refute_0_3957,plain,
join(X1,converse(join(X_433,complement(join(converse(X1),X_433))))) = top,
inference(resolve,[$cnf( $equal(top,join(X1,converse(join(X_433,complement(join(converse(X1),X_433)))))) )],[refute_0_3955,refute_0_3956]) ).
cnf(refute_0_3958,plain,
( complement(X1) != join(complement(join(X1,converse(join(X_433,complement(join(converse(X1),X_433)))))),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))
| join(X1,converse(join(X_433,complement(join(converse(X1),X_433))))) != top
| complement(X1) = join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X1),join(complement(join(X1,converse(join(X_433,complement(join(converse(X1),X_433)))))),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_3959,plain,
( complement(X1) != join(complement(join(X1,converse(join(X_433,complement(join(converse(X1),X_433)))))),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))
| complement(X1) = join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) ),
inference(resolve,[$cnf( $equal(join(X1,converse(join(X_433,complement(join(converse(X1),X_433))))),top) )],[refute_0_3957,refute_0_3958]) ).
cnf(refute_0_3960,plain,
complement(X1) = join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,converse(join(X_433,complement(join(converse(X1),X_433)))))),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))) )],[refute_0_3954,refute_0_3959]) ).
cnf(refute_0_3961,plain,
join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) = meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))))]]) ).
cnf(refute_0_3962,plain,
join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) = join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))))]]) ).
cnf(refute_0_3963,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) != join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))
| join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) = join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3964,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) = join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))) )],[refute_0_3962,refute_0_3963]) ).
cnf(refute_0_3965,plain,
join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) = join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3964]) ).
cnf(refute_0_3966,plain,
( join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) != join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))
| join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) != meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))
| join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) = meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))))),bind(Y,$fot(join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))))),bind(Z,$fot(meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))))]]) ).
cnf(refute_0_3967,plain,
( join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) != meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))
| join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) = meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))) )],[refute_0_3965,refute_0_3966]) ).
cnf(refute_0_3968,plain,
join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) = meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) )],[refute_0_3961,refute_0_3967]) ).
cnf(refute_0_3969,plain,
( complement(X1) != join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))
| join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) != meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))
| complement(X1) = meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) ),[0],$fot(join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))))]]) ).
cnf(refute_0_3970,plain,
( complement(X1) != join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))
| complement(X1) = meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433)))))) )],[refute_0_3968,refute_0_3969]) ).
cnf(refute_0_3971,plain,
complement(X1) = meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(top),meet(complement(X1),converse(join(X_433,complement(join(converse(X1),X_433))))))) )],[refute_0_3960,refute_0_3970]) ).
cnf(refute_0_3972,plain,
complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_3971:[bind(X1,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_433,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3973,plain,
converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(skolemFOFtoCNF_X0)),bind(X_7,$fot(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_3974,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = top,
inference(subst,[],[refute_0_2797:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_93,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_3975,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(converse(skolemFOFtoCNF_X0))),bind(X_7,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_3976,plain,
one = join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(converse(skolemFOFtoCNF_X0))),bind(X_44,$fot(one))]]) ).
cnf(refute_0_3977,plain,
complement(X_213) = join(complement(join(X_213,converse(join(complement(converse(X_213)),X1)))),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(X_213)),bind(X_32,$fot(converse(join(complement(converse(X_213)),X1))))]]) ).
cnf(refute_0_3978,plain,
join(X_170,join(converse(complement(converse(X_170))),converse(X1))) = top,
inference(subst,[],[refute_0_3895:[bind(X_63,$fot(X_170)),bind(X_65,$fot(converse(X1)))]]) ).
cnf(refute_0_3979,plain,
converse(join(complement(converse(X_170)),X1)) = join(converse(complement(converse(X_170))),converse(X1)),
inference(subst,[],[refute_0_409:[bind(X0,$fot(complement(converse(X_170))))]]) ).
cnf(refute_0_3980,plain,
( converse(join(complement(converse(X_170)),X1)) != join(converse(complement(converse(X_170))),converse(X1))
| join(converse(complement(converse(X_170))),converse(X1)) = converse(join(complement(converse(X_170)),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(complement(converse(X_170)),X1)))),bind(Y,$fot(join(converse(complement(converse(X_170))),converse(X1))))]]) ).
cnf(refute_0_3981,plain,
join(converse(complement(converse(X_170))),converse(X1)) = converse(join(complement(converse(X_170)),X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_170)),X1)),join(converse(complement(converse(X_170))),converse(X1))) )],[refute_0_3979,refute_0_3980]) ).
cnf(refute_0_3982,plain,
( join(X_170,join(converse(complement(converse(X_170))),converse(X1))) != top
| join(converse(complement(converse(X_170))),converse(X1)) != converse(join(complement(converse(X_170)),X1))
| join(X_170,converse(join(complement(converse(X_170)),X1))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_170,join(converse(complement(converse(X_170))),converse(X1))),top) ),[0,1],$fot(converse(join(complement(converse(X_170)),X1)))]]) ).
cnf(refute_0_3983,plain,
( join(X_170,join(converse(complement(converse(X_170))),converse(X1))) != top
| join(X_170,converse(join(complement(converse(X_170)),X1))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_170))),converse(X1)),converse(join(complement(converse(X_170)),X1))) )],[refute_0_3981,refute_0_3982]) ).
cnf(refute_0_3984,plain,
join(X_170,converse(join(complement(converse(X_170)),X1))) = top,
inference(resolve,[$cnf( $equal(join(X_170,join(converse(complement(converse(X_170))),converse(X1))),top) )],[refute_0_3978,refute_0_3983]) ).
cnf(refute_0_3985,plain,
join(X_213,converse(join(complement(converse(X_213)),X1))) = top,
inference(subst,[],[refute_0_3984:[bind(X_170,$fot(X_213))]]) ).
cnf(refute_0_3986,plain,
( complement(X_213) != join(complement(join(X_213,converse(join(complement(converse(X_213)),X1)))),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))
| join(X_213,converse(join(complement(converse(X_213)),X1))) != top
| complement(X_213) = join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_213),join(complement(join(X_213,converse(join(complement(converse(X_213)),X1)))),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_3987,plain,
( complement(X_213) != join(complement(join(X_213,converse(join(complement(converse(X_213)),X1)))),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))
| complement(X_213) = join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) ),
inference(resolve,[$cnf( $equal(join(X_213,converse(join(complement(converse(X_213)),X1))),top) )],[refute_0_3985,refute_0_3986]) ).
cnf(refute_0_3988,plain,
complement(X_213) = join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),
inference(resolve,[$cnf( $equal(complement(X_213),join(complement(join(X_213,converse(join(complement(converse(X_213)),X1)))),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))) )],[refute_0_3977,refute_0_3987]) ).
cnf(refute_0_3989,plain,
join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) = meet(complement(X_213),converse(join(complement(converse(X_213)),X1))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))))]]) ).
cnf(refute_0_3990,plain,
join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) = join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))))]]) ).
cnf(refute_0_3991,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) != join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))
| join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) = join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_3992,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) = join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))) )],[refute_0_3990,refute_0_3991]) ).
cnf(refute_0_3993,plain,
join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) = join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_3992]) ).
cnf(refute_0_3994,plain,
( join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) != join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))
| join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) != meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))
| join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) = meet(complement(X_213),converse(join(complement(converse(X_213)),X1))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))))),bind(Y,$fot(join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))))),bind(Z,$fot(meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))))]]) ).
cnf(refute_0_3995,plain,
( join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) != meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))
| join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) = meet(complement(X_213),converse(join(complement(converse(X_213)),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))) )],[refute_0_3993,refute_0_3994]) ).
cnf(refute_0_3996,plain,
join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) = meet(complement(X_213),converse(join(complement(converse(X_213)),X1))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) )],[refute_0_3989,refute_0_3995]) ).
cnf(refute_0_3997,plain,
( complement(X_213) != join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))
| join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) != meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))
| complement(X_213) = meet(complement(X_213),converse(join(complement(converse(X_213)),X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_213),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) ),[0],$fot(join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))))]]) ).
cnf(refute_0_3998,plain,
( complement(X_213) != join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))
| complement(X_213) = meet(complement(X_213),converse(join(complement(converse(X_213)),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))),meet(complement(X_213),converse(join(complement(converse(X_213)),X1)))) )],[refute_0_3996,refute_0_3997]) ).
cnf(refute_0_3999,plain,
complement(X_213) = meet(complement(X_213),converse(join(complement(converse(X_213)),X1))),
inference(resolve,[$cnf( $equal(complement(X_213),join(complement(top),meet(complement(X_213),converse(join(complement(converse(X_213)),X1))))) )],[refute_0_3988,refute_0_3998]) ).
cnf(refute_0_4000,plain,
complement(complement(converse(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3999:[bind(X1,$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(X_213,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4001,plain,
one = join(meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(X_44,$fot(one))]]) ).
cnf(refute_0_4002,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3479:[bind(X_222,$fot(converse(complement(converse(skolemFOFtoCNF_X0))))),bind(X_223,$fot(meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4003,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4004,plain,
converse(complement(converse(skolemFOFtoCNF_X0))) = join(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(complement(converse(skolemFOFtoCNF_X0))))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_4005,plain,
complement(one) = join(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3488:[bind(X_7,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4006,plain,
( complement(one) != join(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0,0,0],$fot(top)]]) ).
cnf(refute_0_4007,plain,
( complement(one) != join(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))
| complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_3216,refute_0_4006]) ).
cnf(refute_0_4008,plain,
complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(join(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4005,refute_0_4007]) ).
cnf(refute_0_4009,plain,
join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4010,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4011,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) != join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4012,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4010,refute_0_4011]) ).
cnf(refute_0_4013,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_4012]) ).
cnf(refute_0_4014,plain,
( join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) != join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4015,plain,
( join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4013,refute_0_4014]) ).
cnf(refute_0_4016,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4009,refute_0_4015]) ).
cnf(refute_0_4017,plain,
( complement(one) != join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4018,plain,
( complement(one) != join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))
| complement(one) = meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4016,refute_0_4017]) ).
cnf(refute_0_4019,plain,
complement(one) = meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(top)),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4008,refute_0_4018]) ).
cnf(refute_0_4020,plain,
( complement(one) != meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4021,plain,
meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4019,refute_0_4020]) ).
cnf(refute_0_4022,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != join(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))) != complement(one)
| converse(complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),join(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_4023,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != join(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))
| converse(complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_4021,refute_0_4022]) ).
cnf(refute_0_4024,plain,
converse(complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),join(meet(complement(one),converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4004,refute_0_4023]) ).
cnf(refute_0_4025,plain,
meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4026,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4027,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4025,refute_0_4026]) ).
cnf(refute_0_4028,plain,
meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4027]) ).
cnf(refute_0_4029,plain,
join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4030,plain,
( join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4031,plain,
( meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4029,refute_0_4030]) ).
cnf(refute_0_4032,plain,
join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4028,refute_0_4031]) ).
cnf(refute_0_4033,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))
| converse(complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4034,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))
| converse(complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4032,refute_0_4033]) ).
cnf(refute_0_4035,plain,
converse(complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(complement(complement(one)),converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4024,refute_0_4034]) ).
cnf(refute_0_4036,plain,
( converse(complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4037,plain,
join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4035,refute_0_4036]) ).
cnf(refute_0_4038,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| complement(complement(one)) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(converse(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4039,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| complement(complement(one)) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4037,refute_0_4038]) ).
cnf(refute_0_4040,plain,
complement(complement(one)) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4003,refute_0_4039]) ).
cnf(refute_0_4041,plain,
( complement(complement(one)) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| complement(complement(one)) != one
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_4042,plain,
( complement(complement(one)) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4041]) ).
cnf(refute_0_4043,plain,
meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4044,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4045,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4043,refute_0_4044]) ).
cnf(refute_0_4046,plain,
meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4045]) ).
cnf(refute_0_4047,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4048,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4049,plain,
( meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4047,refute_0_4048]) ).
cnf(refute_0_4050,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4046,refute_0_4049]) ).
cnf(refute_0_4051,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| one != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4052,plain,
( one != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4050,refute_0_4051]) ).
cnf(refute_0_4053,plain,
( complement(complement(one)) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4042,refute_0_4052]) ).
cnf(refute_0_4054,plain,
one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4040,refute_0_4053]) ).
cnf(refute_0_4055,plain,
( one != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4056,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4054,refute_0_4055]) ).
cnf(refute_0_4057,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) != one
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4058,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_4056,refute_0_4057]) ).
cnf(refute_0_4059,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4002,refute_0_4058]) ).
cnf(refute_0_4060,plain,
meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one) = meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4061,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one)
| meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one) != meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one))]]) ).
cnf(refute_0_4062,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one)
| complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one),meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4060,refute_0_4061]) ).
cnf(refute_0_4063,plain,
complement(converse(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),one)) )],[refute_0_4059,refute_0_4062]) ).
cnf(refute_0_4064,plain,
( complement(converse(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4065,plain,
meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4063,refute_0_4064]) ).
cnf(refute_0_4066,plain,
( meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != complement(converse(complement(converse(skolemFOFtoCNF_X0))))
| one != join(meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))) ),[1,0],$fot(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4067,plain,
( one != join(meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4065,refute_0_4066]) ).
cnf(refute_0_4068,plain,
one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))) )],[refute_0_4001,refute_0_4067]) ).
cnf(refute_0_4069,plain,
complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))) = converse(complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_303:[bind(X0,$fot(converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4070,plain,
meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4071,plain,
( complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4072,plain,
( complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))) != converse(complement(converse(skolemFOFtoCNF_X0)))
| meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4070,refute_0_4071]) ).
cnf(refute_0_4073,plain,
meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4069,refute_0_4072]) ).
cnf(refute_0_4074,plain,
meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) = meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4075,plain,
( meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) != meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))),bind(Y,$fot(meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4076,plain,
( meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one),meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4074,refute_0_4075]) ).
cnf(refute_0_4077,plain,
meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) = meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(converse(skolemFOFtoCNF_X0)))))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4073,refute_0_4076]) ).
cnf(refute_0_4078,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)))]]) ).
cnf(refute_0_4079,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))
| meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) != meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))) ),[1,1],$fot(meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4080,plain,
( meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one) != meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))) )],[refute_0_4078,refute_0_4079]) ).
cnf(refute_0_4081,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)) = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4077,refute_0_4080]) ).
cnf(refute_0_4082,plain,
( join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)) != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))
| one != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))) ),[1],$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4083,plain,
( one != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))
| one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one)),join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4081,refute_0_4082]) ).
cnf(refute_0_4084,plain,
one = join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(converse(skolemFOFtoCNF_X0))))),one))) )],[refute_0_4068,refute_0_4083]) ).
cnf(refute_0_4085,plain,
( one != join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4086,plain,
join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4084,refute_0_4085]) ).
cnf(refute_0_4087,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))) != one
| complement(complement(converse(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_4088,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))
| complement(complement(converse(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_4086,refute_0_4087]) ).
cnf(refute_0_4089,plain,
complement(complement(converse(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(join(complement(converse(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4000,refute_0_4088]) ).
cnf(refute_0_4090,plain,
complement(complement(converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_303:[bind(X0,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4091,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| complement(complement(converse(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one))
| converse(skolemFOFtoCNF_X0) = meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one))) ),[0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4092,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one))
| converse(skolemFOFtoCNF_X0) = meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_4090,refute_0_4091]) ).
cnf(refute_0_4093,plain,
meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4094,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4095,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4093,refute_0_4094]) ).
cnf(refute_0_4096,plain,
meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_4090,refute_0_4095]) ).
cnf(refute_0_4097,plain,
meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4098,plain,
( converse(one) != one
| meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) != meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))),meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4099,plain,
( converse(one) != one
| meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))),meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4097,refute_0_4098]) ).
cnf(refute_0_4100,plain,
meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_4099]) ).
cnf(refute_0_4101,plain,
( meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,converse(skolemFOFtoCNF_X0))
| meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4102,plain,
( meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,converse(skolemFOFtoCNF_X0))
| meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4100,refute_0_4101]) ).
cnf(refute_0_4103,plain,
meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_4096,refute_0_4102]) ).
cnf(refute_0_4104,plain,
meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) = meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(one))),bind(X_25,$fot(complement(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4105,plain,
( meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) != meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,converse(skolemFOFtoCNF_X0))
| meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)))),bind(Y,$fot(meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4106,plain,
( meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))) != meet(one,converse(skolemFOFtoCNF_X0))
| meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)),meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4104,refute_0_4105]) ).
cnf(refute_0_4107,plain,
meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(converse(one),complement(complement(converse(skolemFOFtoCNF_X0)))),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_4103,refute_0_4106]) ).
cnf(refute_0_4108,plain,
( converse(skolemFOFtoCNF_X0) != meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one))
| meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)) != meet(one,converse(skolemFOFtoCNF_X0))
| converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),meet(one,converse(skolemFOFtoCNF_X0))) ),[0],$fot(meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)))]]) ).
cnf(refute_0_4109,plain,
( converse(skolemFOFtoCNF_X0) != meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one))
| converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one)),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_4107,refute_0_4108]) ).
cnf(refute_0_4110,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one))
| converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one))) )],[refute_0_4092,refute_0_4109]) ).
cnf(refute_0_4111,plain,
converse(skolemFOFtoCNF_X0) = meet(one,converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),converse(one))) )],[refute_0_4089,refute_0_4110]) ).
cnf(refute_0_4112,plain,
( converse(skolemFOFtoCNF_X0) != meet(one,converse(skolemFOFtoCNF_X0))
| meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(meet(one,converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4113,plain,
meet(one,converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(one,converse(skolemFOFtoCNF_X0))) )],[refute_0_4111,refute_0_4112]) ).
cnf(refute_0_4114,plain,
( meet(one,converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| one != join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),one))
| one = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),one))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4115,plain,
( one != join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),one))
| one = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_4113,refute_0_4114]) ).
cnf(refute_0_4116,plain,
one = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_3976,refute_0_4115]) ).
cnf(refute_0_4117,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),one) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4118,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)) = join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)))]]) ).
cnf(refute_0_4119,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)) != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one))
| meet(complement(converse(skolemFOFtoCNF_X0)),one) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)) = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one))) ),[1,1],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4120,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),one) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)) = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)),join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_4118,refute_0_4119]) ).
cnf(refute_0_4121,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)) = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4117,refute_0_4120]) ).
cnf(refute_0_4122,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)) != join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| one != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one))
| one = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one))) ),[1],$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4123,plain,
( one != join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one))
| one = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one)),join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4121,refute_0_4122]) ).
cnf(refute_0_4124,plain,
one = join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),meet(complement(converse(skolemFOFtoCNF_X0)),one))) )],[refute_0_4116,refute_0_4123]) ).
cnf(refute_0_4125,plain,
( one != join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4126,plain,
join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4124,refute_0_4125]) ).
cnf(refute_0_4127,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(one) ),
introduced(tautology,[equality,[$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_4128,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( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_4126,refute_0_4127]) ).
cnf(refute_0_4129,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = converse(one),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_3975,refute_0_4128]) ).
cnf(refute_0_4130,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4131,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_425:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_6,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4132,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4133,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) )],[refute_0_4131,refute_0_4132]) ).
cnf(refute_0_4134,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4130,refute_0_4133]) ).
cnf(refute_0_4135,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(one)
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(one) ),
introduced(tautology,[equality,[$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_4136,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( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4134,refute_0_4135]) ).
cnf(refute_0_4137,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(one)) ),[1],$fot(one)]]) ).
cnf(refute_0_4138,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( $equal(converse(one),one) )],[refute_0_81,refute_0_4137]) ).
cnf(refute_0_4139,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))) != converse(one)
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(one)) )],[refute_0_4136,refute_0_4138]) ).
cnf(refute_0_4140,plain,
join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0))),converse(one)) )],[refute_0_4129,refute_0_4139]) ).
cnf(refute_0_4141,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != top
| join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != one
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top) ),[0,1,1,0],$fot(one)]]) ).
cnf(refute_0_4142,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != top
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_4140,refute_0_4141]) ).
cnf(refute_0_4143,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) = top,
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top) )],[refute_0_3974,refute_0_4142]) ).
cnf(refute_0_4144,plain,
( join(X_179,join(X_9,X_180)) != join(X_9,join(X_180,X_179))
| join(X_9,join(X_180,X_179)) = join(X_179,join(X_9,X_180)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_179,join(X_9,X_180)))),bind(Y,$fot(join(X_9,join(X_180,X_179))))]]) ).
cnf(refute_0_4145,plain,
join(X_9,join(X_180,X_179)) = join(X_179,join(X_9,X_180)),
inference(resolve,[$cnf( $equal(join(X_179,join(X_9,X_180)),join(X_9,join(X_180,X_179))) )],[refute_0_1961,refute_0_4144]) ).
cnf(refute_0_4146,plain,
join(complement(one),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4145:[bind(X_179,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_9,$fot(complement(one)))]]) ).
cnf(refute_0_4147,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) = join(complement(one),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_4145:[bind(X_179,$fot(complement(one))),bind(X_180,$fot(skolemFOFtoCNF_X0)),bind(X_9,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4148,plain,
( join(complement(one),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) != join(complement(one),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(join(complement(one),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4149,plain,
( join(complement(one),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))),join(complement(one),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) )],[refute_0_4147,refute_0_4148]) ).
cnf(refute_0_4150,plain,
join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4146,refute_0_4149]) ).
cnf(refute_0_4151,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) != top
| join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))),top) ),[0],$fot(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4152,plain,
( join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) != top
| join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4150,refute_0_4151]) ).
cnf(refute_0_4153,plain,
join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))),top) )],[refute_0_4143,refute_0_4152]) ).
cnf(refute_0_4154,plain,
( converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != top
| converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4155,plain,
( converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),top) )],[refute_0_4153,refute_0_4154]) ).
cnf(refute_0_4156,plain,
converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3973,refute_0_4155]) ).
cnf(refute_0_4157,plain,
converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_814:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(complement(one)))]]) ).
cnf(refute_0_4158,plain,
( converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4159,plain,
( converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_3973,refute_0_4158]) ).
cnf(refute_0_4160,plain,
converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4157,refute_0_4159]) ).
cnf(refute_0_4161,plain,
( converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(top)
| converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(top)) ),[0],$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4162,plain,
( converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(top)
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4160,refute_0_4161]) ).
cnf(refute_0_4163,plain,
( converse(top) != top
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(top)
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_4164,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(top)
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_4163]) ).
cnf(refute_0_4165,plain,
( converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)) != converse(top)
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(top)) )],[refute_0_4162,refute_0_4164]) ).
cnf(refute_0_4166,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(complement(one),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)),converse(top)) )],[refute_0_4156,refute_0_4165]) ).
cnf(refute_0_4167,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != top
| complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_4168,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_4166,refute_0_4167]) ).
cnf(refute_0_4169,plain,
complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3972,refute_0_4168]) ).
cnf(refute_0_4170,plain,
complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(complement(skolemFOFtoCNF_X0),one),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(one)),bind(X_27,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4171,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$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_4172,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( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_4170,refute_0_4171]) ).
cnf(refute_0_4173,plain,
complement(join(skolemFOFtoCNF_X0,complement(one))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3281,refute_0_4172]) ).
cnf(refute_0_4174,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))
| complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) ),[0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4175,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4173,refute_0_4174]) ).
cnf(refute_0_4176,plain,
join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4177,plain,
join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4178,plain,
( complement(top) != zero
| join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4179,plain,
( complement(top) != zero
| join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4177,refute_0_4178]) ).
cnf(refute_0_4180,plain,
join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4179]) ).
cnf(refute_0_4181,plain,
( join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4182,plain,
( join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4180,refute_0_4181]) ).
cnf(refute_0_4183,plain,
join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4176,refute_0_4182]) ).
cnf(refute_0_4184,plain,
converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4185,plain,
( converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4186,plain,
( join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4184,refute_0_4185]) ).
cnf(refute_0_4187,plain,
converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4183,refute_0_4186]) ).
cnf(refute_0_4188,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))) = converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3774:[bind(X_6,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_7,$fot(complement(top)))]]) ).
cnf(refute_0_4189,plain,
( converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))) != converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))),bind(Y,$fot(converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4190,plain,
( converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))),converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4188,refute_0_4189]) ).
cnf(refute_0_4191,plain,
converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4187,refute_0_4190]) ).
cnf(refute_0_4192,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),
introduced(tautology,[refl,[$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))))]]) ).
cnf(refute_0_4193,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) ),[1,1],$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4194,plain,
( converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) )],[refute_0_4192,refute_0_4193]) ).
cnf(refute_0_4195,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4191,refute_0_4194]) ).
cnf(refute_0_4196,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),
introduced(tautology,[refl,[$fot(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))))]]) ).
cnf(refute_0_4197,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4198,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) )],[refute_0_4196,refute_0_4197]) ).
cnf(refute_0_4199,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4173,refute_0_4198]) ).
cnf(refute_0_4200,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))))),bind(Z,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4201,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) )],[refute_0_4199,refute_0_4200]) ).
cnf(refute_0_4202,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4195,refute_0_4201]) ).
cnf(refute_0_4203,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(skolemFOFtoCNF_X0)) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) ),[1],$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4204,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top)))),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4202,refute_0_4203]) ).
cnf(refute_0_4205,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) )],[refute_0_4175,refute_0_4204]) ).
cnf(refute_0_4206,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(complement(join(skolemFOFtoCNF_X0,complement(one))),converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(top))))) )],[refute_0_4169,refute_0_4205]) ).
cnf(refute_0_4207,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4208,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4206,refute_0_4207]) ).
cnf(refute_0_4209,plain,
( converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4210,plain,
( converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4208,refute_0_4209]) ).
cnf(refute_0_4211,plain,
converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_3953,refute_0_4210]) ).
cnf(refute_0_4212,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_4213,plain,
complement(one) = join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4214,plain,
top = join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(join(complement(X_24),complement(X_25))))]]) ).
cnf(refute_0_4215,plain,
( complement(join(complement(X_24),complement(X_25))) != meet(X_24,X_25)
| top != join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))
| top = join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))) ),[1,1],$fot(meet(X_24,X_25))]]) ).
cnf(refute_0_4216,plain,
( top != join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))
| top = join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_24),complement(X_25))),meet(X_24,X_25)) )],[refute_0_10,refute_0_4215]) ).
cnf(refute_0_4217,plain,
top = join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_24),complement(X_25)),complement(join(complement(X_24),complement(X_25))))) )],[refute_0_4214,refute_0_4216]) ).
cnf(refute_0_4218,plain,
join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) = join(complement(X_24),join(complement(X_25),meet(X_24,X_25))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(complement(X_24))),bind(X1,$fot(complement(X_25))),bind(X2,$fot(meet(X_24,X_25)))]]) ).
cnf(refute_0_4219,plain,
( join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)) != join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))
| top != join(join(complement(X_24),complement(X_25)),meet(X_24,X_25))
| top = join(complement(X_24),join(complement(X_25),meet(X_24,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_24),complement(X_25)),meet(X_24,X_25))) ),[1],$fot(join(complement(X_24),join(complement(X_25),meet(X_24,X_25))))]]) ).
cnf(refute_0_4220,plain,
( top != join(join(complement(X_24),complement(X_25)),meet(X_24,X_25))
| top = join(complement(X_24),join(complement(X_25),meet(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_24),complement(X_25)),meet(X_24,X_25)),join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))) )],[refute_0_4218,refute_0_4219]) ).
cnf(refute_0_4221,plain,
top = join(complement(X_24),join(complement(X_25),meet(X_24,X_25))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_24),complement(X_25)),meet(X_24,X_25))) )],[refute_0_4217,refute_0_4220]) ).
cnf(refute_0_4222,plain,
top = join(complement(complement(X0)),join(complement(X_150),meet(complement(X0),X_150))),
inference(subst,[],[refute_0_4221:[bind(X_24,$fot(complement(X0))),bind(X_25,$fot(X_150))]]) ).
cnf(refute_0_4223,plain,
( complement(complement(X0)) != X0
| top != join(complement(complement(X0)),join(complement(X_150),meet(complement(X0),X_150)))
| top = join(X0,join(complement(X_150),meet(complement(X0),X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(X0)),join(complement(X_150),meet(complement(X0),X_150)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_4224,plain,
( top != join(complement(complement(X0)),join(complement(X_150),meet(complement(X0),X_150)))
| top = join(X0,join(complement(X_150),meet(complement(X0),X_150))) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_4223]) ).
cnf(refute_0_4225,plain,
top = join(X0,join(complement(X_150),meet(complement(X0),X_150))),
inference(resolve,[$cnf( $equal(top,join(complement(complement(X0)),join(complement(X_150),meet(complement(X0),X_150)))) )],[refute_0_4222,refute_0_4224]) ).
cnf(refute_0_4226,plain,
top = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4225:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_150,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4227,plain,
complement(complement(X_150)) = join(complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(X_150))),bind(X_32,$fot(join(complement(X_149),meet(X_149,X_150))))]]) ).
cnf(refute_0_4228,plain,
join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) = join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(complement(X_150),meet(X_149,X_150)))),bind(X1,$fot(complement(X_149)))]]) ).
cnf(refute_0_4229,plain,
top = join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),
inference(subst,[],[refute_0_4221:[bind(X_24,$fot(X_149)),bind(X_25,$fot(X_150))]]) ).
cnf(refute_0_4230,plain,
( top != join(complement(X_149),join(complement(X_150),meet(X_149,X_150)))
| join(complement(X_149),join(complement(X_150),meet(X_149,X_150))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_149),join(complement(X_150),meet(X_149,X_150)))))]]) ).
cnf(refute_0_4231,plain,
join(complement(X_149),join(complement(X_150),meet(X_149,X_150))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_149),join(complement(X_150),meet(X_149,X_150)))) )],[refute_0_4229,refute_0_4230]) ).
cnf(refute_0_4232,plain,
( join(complement(X_149),join(complement(X_150),meet(X_149,X_150))) != top
| join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) != join(complement(X_149),join(complement(X_150),meet(X_149,X_150)))
| join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)),join(complement(X_149),join(complement(X_150),meet(X_149,X_150)))) ),[1],$fot(top)]]) ).
cnf(refute_0_4233,plain,
( join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) != join(complement(X_149),join(complement(X_150),meet(X_149,X_150)))
| join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),top) )],[refute_0_4231,refute_0_4232]) ).
cnf(refute_0_4234,plain,
join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)),join(complement(X_149),join(complement(X_150),meet(X_149,X_150)))) )],[refute_0_4228,refute_0_4233]) ).
cnf(refute_0_4235,plain,
join(complement(X_150),join(meet(X_149,X_150),complement(X_149))) = join(complement(X_150),join(complement(X_149),meet(X_149,X_150))),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(complement(X_150))),bind(X_64,$fot(meet(X_149,X_150))),bind(X_65,$fot(complement(X_149)))]]) ).
cnf(refute_0_4236,plain,
join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) = join(complement(X_150),join(meet(X_149,X_150),complement(X_149))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(complement(X_150))),bind(X1,$fot(meet(X_149,X_150))),bind(X2,$fot(complement(X_149)))]]) ).
cnf(refute_0_4237,plain,
( join(complement(X_150),join(meet(X_149,X_150),complement(X_149))) != join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))
| join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) != join(complement(X_150),join(meet(X_149,X_150),complement(X_149)))
| join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) = join(complement(X_150),join(complement(X_149),meet(X_149,X_150))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)))),bind(Y,$fot(join(complement(X_150),join(meet(X_149,X_150),complement(X_149))))),bind(Z,$fot(join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_4238,plain,
( join(complement(X_150),join(meet(X_149,X_150),complement(X_149))) != join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))
| join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) = join(complement(X_150),join(complement(X_149),meet(X_149,X_150))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)),join(complement(X_150),join(meet(X_149,X_150),complement(X_149)))) )],[refute_0_4236,refute_0_4237]) ).
cnf(refute_0_4239,plain,
join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) = join(complement(X_150),join(complement(X_149),meet(X_149,X_150))),
inference(resolve,[$cnf( $equal(join(complement(X_150),join(meet(X_149,X_150),complement(X_149))),join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))) )],[refute_0_4235,refute_0_4238]) ).
cnf(refute_0_4240,plain,
( join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) != join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))
| join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) != top
| join(complement(X_150),join(complement(X_149),meet(X_149,X_150))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)),top) ),[0],$fot(join(complement(X_150),join(complement(X_149),meet(X_149,X_150))))]]) ).
cnf(refute_0_4241,plain,
( join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)) != top
| join(complement(X_150),join(complement(X_149),meet(X_149,X_150))) = top ),
inference(resolve,[$cnf( $equal(join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)),join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))) )],[refute_0_4239,refute_0_4240]) ).
cnf(refute_0_4242,plain,
join(complement(X_150),join(complement(X_149),meet(X_149,X_150))) = top,
inference(resolve,[$cnf( $equal(join(join(complement(X_150),meet(X_149,X_150)),complement(X_149)),top) )],[refute_0_4234,refute_0_4241]) ).
cnf(refute_0_4243,plain,
( complement(complement(X_150)) != join(complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| join(complement(X_150),join(complement(X_149),meet(X_149,X_150))) != top
| complement(complement(X_150)) = join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_150)),join(complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4244,plain,
( complement(complement(X_150)) != join(complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| complement(complement(X_150)) = join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_150),join(complement(X_149),meet(X_149,X_150))),top) )],[refute_0_4242,refute_0_4243]) ).
cnf(refute_0_4245,plain,
complement(complement(X_150)) = join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(complement(complement(X_150)),join(complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_4227,refute_0_4244]) ).
cnf(refute_0_4246,plain,
complement(complement(X_150)) = X_150,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_150))]]) ).
cnf(refute_0_4247,plain,
( complement(complement(X_150)) != X_150
| complement(complement(X_150)) != join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| X_150 = join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_150)),join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) ),[0],$fot(X_150)]]) ).
cnf(refute_0_4248,plain,
( complement(complement(X_150)) != join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| X_150 = join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_150)),X_150) )],[refute_0_4246,refute_0_4247]) ).
cnf(refute_0_4249,plain,
join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))) = meet(X_150,join(complement(X_149),meet(X_149,X_150))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(X_150,join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_4250,plain,
meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))) = meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))]]) ).
cnf(refute_0_4251,plain,
( complement(complement(X_150)) != X_150
| meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))) != meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))
| meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))) = meet(X_150,join(complement(X_149),meet(X_149,X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) ),[1,0],$fot(X_150)]]) ).
cnf(refute_0_4252,plain,
( complement(complement(X_150)) != X_150
| meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))) = meet(X_150,join(complement(X_149),meet(X_149,X_150))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) )],[refute_0_4250,refute_0_4251]) ).
cnf(refute_0_4253,plain,
meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))) = meet(X_150,join(complement(X_149),meet(X_149,X_150))),
inference(resolve,[$cnf( $equal(complement(complement(X_150)),X_150) )],[refute_0_4246,refute_0_4252]) ).
cnf(refute_0_4254,plain,
join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_4255,plain,
( join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) != join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))) != meet(X_150,join(complement(X_149),meet(X_149,X_150)))
| join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) ),[1,1],$fot(meet(X_150,join(complement(X_149),meet(X_149,X_150))))]]) ).
cnf(refute_0_4256,plain,
( meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))) != meet(X_150,join(complement(X_149),meet(X_149,X_150)))
| join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_4254,refute_0_4255]) ).
cnf(refute_0_4257,plain,
join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))),meet(X_150,join(complement(X_149),meet(X_149,X_150)))) )],[refute_0_4253,refute_0_4256]) ).
cnf(refute_0_4258,plain,
join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_4259,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) != join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4260,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_4258,refute_0_4259]) ).
cnf(refute_0_4261,plain,
join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4260]) ).
cnf(refute_0_4262,plain,
( join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) != join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) != join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150))))
| join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))))),bind(Y,$fot(join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))))),bind(Z,$fot(join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150))))))]]) ).
cnf(refute_0_4263,plain,
( join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) != join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150))))
| join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_4261,refute_0_4262]) ).
cnf(refute_0_4264,plain,
join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_4257,refute_0_4263]) ).
cnf(refute_0_4265,plain,
( join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) != join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150))))
| join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))) != meet(X_150,join(complement(X_149),meet(X_149,X_150)))
| join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = meet(X_150,join(complement(X_149),meet(X_149,X_150))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))))),bind(Y,$fot(join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))))),bind(Z,$fot(meet(X_150,join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_4266,plain,
( join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))) != meet(X_150,join(complement(X_149),meet(X_149,X_150)))
| join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = meet(X_150,join(complement(X_149),meet(X_149,X_150))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_4264,refute_0_4265]) ).
cnf(refute_0_4267,plain,
join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) = meet(X_150,join(complement(X_149),meet(X_149,X_150))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_150,join(complement(X_149),meet(X_149,X_150)))),meet(X_150,join(complement(X_149),meet(X_149,X_150)))) )],[refute_0_4249,refute_0_4266]) ).
cnf(refute_0_4268,plain,
( X_150 != join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))) != meet(X_150,join(complement(X_149),meet(X_149,X_150)))
| X_150 = meet(X_150,join(complement(X_149),meet(X_149,X_150))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_150,meet(X_150,join(complement(X_149),meet(X_149,X_150)))) ),[0],$fot(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_4269,plain,
( X_150 != join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| X_150 = meet(X_150,join(complement(X_149),meet(X_149,X_150))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150)))),meet(X_150,join(complement(X_149),meet(X_149,X_150)))) )],[refute_0_4267,refute_0_4268]) ).
cnf(refute_0_4270,plain,
( complement(complement(X_150)) != join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))
| X_150 = meet(X_150,join(complement(X_149),meet(X_149,X_150))) ),
inference(resolve,[$cnf( $equal(X_150,join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_4248,refute_0_4269]) ).
cnf(refute_0_4271,plain,
X_150 = meet(X_150,join(complement(X_149),meet(X_149,X_150))),
inference(resolve,[$cnf( $equal(complement(complement(X_150)),join(complement(top),meet(complement(complement(X_150)),join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_4245,refute_0_4270]) ).
cnf(refute_0_4272,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_4271:[bind(X_149,$fot(skolemFOFtoCNF_X0)),bind(X_150,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4273,plain,
meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = complement(complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_301:[bind(X0,$fot(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4274,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3900:[bind(X2,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4275,plain,
top = join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4276,plain,
( top != join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4277,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4275,refute_0_4276]) ).
cnf(refute_0_4278,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != top
| join(complement(one),top) = join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4279,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),top) = join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_4277,refute_0_4278]) ).
cnf(refute_0_4280,plain,
join(complement(one),top) = join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4274,refute_0_4279]) ).
cnf(refute_0_4281,plain,
join(complement(one),top) = top,
inference(subst,[],[refute_0_1338:[bind(X_104,$fot(complement(one)))]]) ).
cnf(refute_0_4282,plain,
( join(complement(one),top) != join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),top) != top
| top = join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),top),join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(top)]]) ).
cnf(refute_0_4283,plain,
( join(complement(one),top) != join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| top = join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),top),top) )],[refute_0_4281,refute_0_4282]) ).
cnf(refute_0_4284,plain,
join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4285,plain,
( join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))
| top != join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| top = complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4286,plain,
( top != join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| top = complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4284,refute_0_4285]) ).
cnf(refute_0_4287,plain,
( join(complement(one),top) != join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| top = complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4283,refute_0_4286]) ).
cnf(refute_0_4288,plain,
top = complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),top),join(complement(skolemFOFtoCNF_X0),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4280,refute_0_4287]) ).
cnf(refute_0_4289,plain,
( top != complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))
| complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4290,plain,
complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4288,refute_0_4289]) ).
cnf(refute_0_4291,plain,
( complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) != top
| meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != complement(complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4292,plain,
( meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != complement(complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_4290,refute_0_4291]) ).
cnf(refute_0_4293,plain,
meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = complement(top),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(complement(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4273,refute_0_4292]) ).
cnf(refute_0_4294,plain,
( complement(top) != zero
| meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != complement(top)
| meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4295,plain,
( meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != complement(top)
| meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4294]) ).
cnf(refute_0_4296,plain,
meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_4293,refute_0_4295]) ).
cnf(refute_0_4297,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != zero
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_4298,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),zero) )],[refute_0_4296,refute_0_4297]) ).
cnf(refute_0_4299,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4272,refute_0_4298]) ).
cnf(refute_0_4300,plain,
join(complement(skolemFOFtoCNF_X0),zero) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4301,plain,
meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))) = meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4302,plain,
( join(complement(skolemFOFtoCNF_X0),zero) != complement(skolemFOFtoCNF_X0)
| meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))) != meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))),meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4303,plain,
( join(complement(skolemFOFtoCNF_X0),zero) != complement(skolemFOFtoCNF_X0)
| meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))),meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4301,refute_0_4302]) ).
cnf(refute_0_4304,plain,
meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),zero),complement(skolemFOFtoCNF_X0)) )],[refute_0_4300,refute_0_4303]) ).
cnf(refute_0_4305,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)) = meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(complement(skolemFOFtoCNF_X0),zero))),bind(X_25,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4306,plain,
( meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)) != meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)))),bind(Y,$fot(meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4307,plain,
( meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)),meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4305,refute_0_4306]) ).
cnf(refute_0_4308,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0),zero),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4304,refute_0_4307]) ).
cnf(refute_0_4309,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero))) ),[1],$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4310,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero)),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4308,refute_0_4309]) ).
cnf(refute_0_4311,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),zero))) )],[refute_0_4299,refute_0_4310]) ).
cnf(refute_0_4312,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4313,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4311,refute_0_4312]) ).
cnf(refute_0_4314,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| top != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| top = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4315,plain,
( top != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))
| top = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4313,refute_0_4314]) ).
cnf(refute_0_4316,plain,
top = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4226,refute_0_4315]) ).
cnf(refute_0_4317,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4318,plain,
one = join(meet(one,skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(skolemFOFtoCNF_X0)),bind(X_44,$fot(one))]]) ).
cnf(refute_0_4319,plain,
complement(complement(X_24)) = join(complement(join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(X_24))),bind(X_32,$fot(join(complement(X_25),meet(X_24,X_25))))]]) ).
cnf(refute_0_4320,plain,
( top != join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))
| join(complement(X_24),join(complement(X_25),meet(X_24,X_25))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))))]]) ).
cnf(refute_0_4321,plain,
join(complement(X_24),join(complement(X_25),meet(X_24,X_25))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))) )],[refute_0_4221,refute_0_4320]) ).
cnf(refute_0_4322,plain,
( complement(complement(X_24)) != join(complement(join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| join(complement(X_24),join(complement(X_25),meet(X_24,X_25))) != top
| complement(complement(X_24)) = join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_24)),join(complement(join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4323,plain,
( complement(complement(X_24)) != join(complement(join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| complement(complement(X_24)) = join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),join(complement(X_25),meet(X_24,X_25))),top) )],[refute_0_4321,refute_0_4322]) ).
cnf(refute_0_4324,plain,
complement(complement(X_24)) = join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),
inference(resolve,[$cnf( $equal(complement(complement(X_24)),join(complement(join(complement(X_24),join(complement(X_25),meet(X_24,X_25)))),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) )],[refute_0_4319,refute_0_4323]) ).
cnf(refute_0_4325,plain,
complement(complement(X_24)) = X_24,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_24))]]) ).
cnf(refute_0_4326,plain,
( complement(complement(X_24)) != X_24
| complement(complement(X_24)) != join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| X_24 = join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_24)),join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) ),[0],$fot(X_24)]]) ).
cnf(refute_0_4327,plain,
( complement(complement(X_24)) != join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| X_24 = join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_24)),X_24) )],[refute_0_4325,refute_0_4326]) ).
cnf(refute_0_4328,plain,
join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))) = meet(X_24,join(complement(X_25),meet(X_24,X_25))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(X_24,join(complement(X_25),meet(X_24,X_25)))))]]) ).
cnf(refute_0_4329,plain,
meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))) = meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))]]) ).
cnf(refute_0_4330,plain,
( complement(complement(X_24)) != X_24
| meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))) != meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))
| meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))) = meet(X_24,join(complement(X_25),meet(X_24,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) ),[1,0],$fot(X_24)]]) ).
cnf(refute_0_4331,plain,
( complement(complement(X_24)) != X_24
| meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))) = meet(X_24,join(complement(X_25),meet(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) )],[refute_0_4329,refute_0_4330]) ).
cnf(refute_0_4332,plain,
meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))) = meet(X_24,join(complement(X_25),meet(X_24,X_25))),
inference(resolve,[$cnf( $equal(complement(complement(X_24)),X_24) )],[refute_0_4325,refute_0_4331]) ).
cnf(refute_0_4333,plain,
join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))))]]) ).
cnf(refute_0_4334,plain,
( join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) != join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))) != meet(X_24,join(complement(X_25),meet(X_24,X_25)))
| join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) ),[1,1],$fot(meet(X_24,join(complement(X_25),meet(X_24,X_25))))]]) ).
cnf(refute_0_4335,plain,
( meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))) != meet(X_24,join(complement(X_25),meet(X_24,X_25)))
| join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) )],[refute_0_4333,refute_0_4334]) ).
cnf(refute_0_4336,plain,
join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))),meet(X_24,join(complement(X_25),meet(X_24,X_25)))) )],[refute_0_4332,refute_0_4335]) ).
cnf(refute_0_4337,plain,
join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))))]]) ).
cnf(refute_0_4338,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) != join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4339,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) )],[refute_0_4337,refute_0_4338]) ).
cnf(refute_0_4340,plain,
join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4339]) ).
cnf(refute_0_4341,plain,
( join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) != join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) != join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25))))
| join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))))),bind(Y,$fot(join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))))),bind(Z,$fot(join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25))))))]]) ).
cnf(refute_0_4342,plain,
( join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) != join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25))))
| join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) )],[refute_0_4340,refute_0_4341]) ).
cnf(refute_0_4343,plain,
join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25))))) )],[refute_0_4336,refute_0_4342]) ).
cnf(refute_0_4344,plain,
( join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) != join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25))))
| join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))) != meet(X_24,join(complement(X_25),meet(X_24,X_25)))
| join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = meet(X_24,join(complement(X_25),meet(X_24,X_25))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))))),bind(Y,$fot(join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))))),bind(Z,$fot(meet(X_24,join(complement(X_25),meet(X_24,X_25)))))]]) ).
cnf(refute_0_4345,plain,
( join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))) != meet(X_24,join(complement(X_25),meet(X_24,X_25)))
| join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = meet(X_24,join(complement(X_25),meet(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25))))) )],[refute_0_4343,refute_0_4344]) ).
cnf(refute_0_4346,plain,
join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) = meet(X_24,join(complement(X_25),meet(X_24,X_25))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_24,join(complement(X_25),meet(X_24,X_25)))),meet(X_24,join(complement(X_25),meet(X_24,X_25)))) )],[refute_0_4328,refute_0_4345]) ).
cnf(refute_0_4347,plain,
( X_24 != join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))) != meet(X_24,join(complement(X_25),meet(X_24,X_25)))
| X_24 = meet(X_24,join(complement(X_25),meet(X_24,X_25))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_24,meet(X_24,join(complement(X_25),meet(X_24,X_25)))) ),[0],$fot(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))))]]) ).
cnf(refute_0_4348,plain,
( X_24 != join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| X_24 = meet(X_24,join(complement(X_25),meet(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25)))),meet(X_24,join(complement(X_25),meet(X_24,X_25)))) )],[refute_0_4346,refute_0_4347]) ).
cnf(refute_0_4349,plain,
( complement(complement(X_24)) != join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))
| X_24 = meet(X_24,join(complement(X_25),meet(X_24,X_25))) ),
inference(resolve,[$cnf( $equal(X_24,join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) )],[refute_0_4327,refute_0_4348]) ).
cnf(refute_0_4350,plain,
X_24 = meet(X_24,join(complement(X_25),meet(X_24,X_25))),
inference(resolve,[$cnf( $equal(complement(complement(X_24)),join(complement(top),meet(complement(complement(X_24)),join(complement(X_25),meet(X_24,X_25))))) )],[refute_0_4324,refute_0_4349]) ).
cnf(refute_0_4351,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(complement(complement(one)),meet(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_4350:[bind(X_24,$fot(skolemFOFtoCNF_X0)),bind(X_25,$fot(complement(one)))]]) ).
cnf(refute_0_4352,plain,
meet(skolemFOFtoCNF_X0,complement(one)) = complement(complement(meet(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_301:[bind(X0,$fot(meet(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_4353,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(complement(one)))) = top,
inference(subst,[],[refute_0_3457:[bind(X_31,$fot(complement(one))),bind(X_65,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4354,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(complement(one)))) = join(complement(skolemFOFtoCNF_X0),complement(complement(one))),
inference(subst,[],[refute_0_3900:[bind(X2,$fot(complement(complement(one))))]]) ).
cnf(refute_0_4355,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(complement(one)))) != join(complement(skolemFOFtoCNF_X0),complement(complement(one)))
| join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(complement(one)))) != top
| join(complement(skolemFOFtoCNF_X0),complement(complement(one))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(complement(one)))),top) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),complement(complement(one))))]]) ).
cnf(refute_0_4356,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(complement(one)))) != top
| join(complement(skolemFOFtoCNF_X0),complement(complement(one))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(complement(one)))),join(complement(skolemFOFtoCNF_X0),complement(complement(one)))) )],[refute_0_4354,refute_0_4355]) ).
cnf(refute_0_4357,plain,
join(complement(skolemFOFtoCNF_X0),complement(complement(one))) = top,
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),complement(complement(one)))),top) )],[refute_0_4353,refute_0_4356]) ).
cnf(refute_0_4358,plain,
join(complement(skolemFOFtoCNF_X0),complement(complement(one))) = complement(meet(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_4359,plain,
( join(complement(skolemFOFtoCNF_X0),complement(complement(one))) != complement(meet(skolemFOFtoCNF_X0,complement(one)))
| join(complement(skolemFOFtoCNF_X0),complement(complement(one))) != top
| complement(meet(skolemFOFtoCNF_X0,complement(one))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(complement(one))),top) ),[0],$fot(complement(meet(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_4360,plain,
( join(complement(skolemFOFtoCNF_X0),complement(complement(one))) != top
| complement(meet(skolemFOFtoCNF_X0,complement(one))) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(complement(one))),complement(meet(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_4358,refute_0_4359]) ).
cnf(refute_0_4361,plain,
complement(meet(skolemFOFtoCNF_X0,complement(one))) = top,
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),complement(complement(one))),top) )],[refute_0_4357,refute_0_4360]) ).
cnf(refute_0_4362,plain,
( complement(meet(skolemFOFtoCNF_X0,complement(one))) != top
| meet(skolemFOFtoCNF_X0,complement(one)) != complement(complement(meet(skolemFOFtoCNF_X0,complement(one))))
| meet(skolemFOFtoCNF_X0,complement(one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(one)),complement(complement(meet(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_4363,plain,
( meet(skolemFOFtoCNF_X0,complement(one)) != complement(complement(meet(skolemFOFtoCNF_X0,complement(one))))
| meet(skolemFOFtoCNF_X0,complement(one)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,complement(one))),top) )],[refute_0_4361,refute_0_4362]) ).
cnf(refute_0_4364,plain,
meet(skolemFOFtoCNF_X0,complement(one)) = complement(top),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(one)),complement(complement(meet(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_4352,refute_0_4363]) ).
cnf(refute_0_4365,plain,
( complement(top) != zero
| meet(skolemFOFtoCNF_X0,complement(one)) != complement(top)
| meet(skolemFOFtoCNF_X0,complement(one)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(one)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_4366,plain,
( meet(skolemFOFtoCNF_X0,complement(one)) != complement(top)
| meet(skolemFOFtoCNF_X0,complement(one)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4365]) ).
cnf(refute_0_4367,plain,
meet(skolemFOFtoCNF_X0,complement(one)) = zero,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(one)),complement(top)) )],[refute_0_4364,refute_0_4366]) ).
cnf(refute_0_4368,plain,
( meet(skolemFOFtoCNF_X0,complement(one)) != zero
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(complement(complement(one)),meet(skolemFOFtoCNF_X0,complement(one))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(complement(complement(one)),meet(skolemFOFtoCNF_X0,complement(one))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_4369,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(complement(complement(one)),meet(skolemFOFtoCNF_X0,complement(one))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(one)),zero) )],[refute_0_4367,refute_0_4368]) ).
cnf(refute_0_4370,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(complement(complement(one)),meet(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_4351,refute_0_4369]) ).
cnf(refute_0_4371,plain,
meet(skolemFOFtoCNF_X0,one) = meet(one,skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4372,plain,
join(complement(complement(one)),zero) = complement(complement(one)),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(complement(complement(one))))]]) ).
cnf(refute_0_4373,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),zero) != complement(complement(one))
| join(complement(complement(one)),zero) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(one)),zero))),bind(Y,$fot(complement(complement(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4374,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),zero) = one ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),complement(complement(one))) )],[refute_0_4372,refute_0_4373]) ).
cnf(refute_0_4375,plain,
join(complement(complement(one)),zero) = one,
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4374]) ).
cnf(refute_0_4376,plain,
meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) = meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)))]]) ).
cnf(refute_0_4377,plain,
( join(complement(complement(one)),zero) != one
| meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) != meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero))
| meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) = meet(skolemFOFtoCNF_X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)),meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4378,plain,
( join(complement(complement(one)),zero) != one
| meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) = meet(skolemFOFtoCNF_X0,one) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)),meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero))) )],[refute_0_4376,refute_0_4377]) ).
cnf(refute_0_4379,plain,
meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) = meet(skolemFOFtoCNF_X0,one),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),one) )],[refute_0_4375,refute_0_4378]) ).
cnf(refute_0_4380,plain,
( meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) != meet(skolemFOFtoCNF_X0,one)
| meet(skolemFOFtoCNF_X0,one) != meet(one,skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) = meet(one,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,one))),bind(Z,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4381,plain,
( meet(skolemFOFtoCNF_X0,one) != meet(one,skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) = meet(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)),meet(skolemFOFtoCNF_X0,one)) )],[refute_0_4379,refute_0_4380]) ).
cnf(refute_0_4382,plain,
meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) = meet(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,one),meet(one,skolemFOFtoCNF_X0)) )],[refute_0_4371,refute_0_4381]) ).
cnf(refute_0_4383,plain,
( meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)) != meet(one,skolemFOFtoCNF_X0)
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero))
| skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero))) ),[1],$fot(meet(one,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4384,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero))
| skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero)),meet(one,skolemFOFtoCNF_X0)) )],[refute_0_4382,refute_0_4383]) ).
cnf(refute_0_4385,plain,
skolemFOFtoCNF_X0 = meet(one,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(complement(complement(one)),zero))) )],[refute_0_4370,refute_0_4384]) ).
cnf(refute_0_4386,plain,
( skolemFOFtoCNF_X0 != meet(one,skolemFOFtoCNF_X0)
| meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(one,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4387,plain,
meet(one,skolemFOFtoCNF_X0) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(one,skolemFOFtoCNF_X0)) )],[refute_0_4385,refute_0_4386]) ).
cnf(refute_0_4388,plain,
( meet(one,skolemFOFtoCNF_X0) != skolemFOFtoCNF_X0
| one != join(meet(one,skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),one))
| one = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),one))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4389,plain,
( one != join(meet(one,skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),one))
| one = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)) ),
inference(resolve,[$cnf( $equal(meet(one,skolemFOFtoCNF_X0),skolemFOFtoCNF_X0) )],[refute_0_4387,refute_0_4388]) ).
cnf(refute_0_4390,plain,
one = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),one))) )],[refute_0_4318,refute_0_4389]) ).
cnf(refute_0_4391,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)))]]) ).
cnf(refute_0_4392,plain,
( join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one))
| meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)) = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one))) ),[1,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4393,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)) = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one))) )],[refute_0_4391,refute_0_4392]) ).
cnf(refute_0_4394,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)) = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3281,refute_0_4393]) ).
cnf(refute_0_4395,plain,
( join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)) != join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))
| one != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one))
| one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one))) ),[1],$fot(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4396,plain,
( one != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one))
| one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one)),join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4394,refute_0_4395]) ).
cnf(refute_0_4397,plain,
one = join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),one))) )],[refute_0_4390,refute_0_4396]) ).
cnf(refute_0_4398,plain,
( one != join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4399,plain,
join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4397,refute_0_4398]) ).
cnf(refute_0_4400,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$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_4401,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( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_4399,refute_0_4400]) ).
cnf(refute_0_4402,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),X2)) )],[refute_0_4317,refute_0_4401]) ).
cnf(refute_0_4403,plain,
join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4402:[bind(X2,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4404,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_65,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4405,plain,
( join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4406,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4404,refute_0_4405]) ).
cnf(refute_0_4407,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,complement(skolemFOFtoCNF_X0)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4403,refute_0_4406]) ).
cnf(refute_0_4408,plain,
( join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| top != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))))
| top = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4409,plain,
( top != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))))
| top = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0)))),join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4407,refute_0_4408]) ).
cnf(refute_0_4410,plain,
top = join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4316,refute_0_4409]) ).
cnf(refute_0_4411,plain,
( top != join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4412,plain,
join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4410,refute_0_4411]) ).
cnf(refute_0_4413,plain,
( complement(one) != join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != top
| complement(one) = join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4414,plain,
( complement(one) != join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(one) = join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_4412,refute_0_4413]) ).
cnf(refute_0_4415,plain,
complement(one) = join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4213,refute_0_4414]) ).
cnf(refute_0_4416,plain,
join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4417,plain,
join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4418,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4419,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4417,refute_0_4418]) ).
cnf(refute_0_4420,plain,
join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4419]) ).
cnf(refute_0_4421,plain,
( join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4422,plain,
( join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4420,refute_0_4421]) ).
cnf(refute_0_4423,plain,
join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4416,refute_0_4422]) ).
cnf(refute_0_4424,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4425,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(one) = meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4423,refute_0_4424]) ).
cnf(refute_0_4426,plain,
complement(one) = meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4415,refute_0_4425]) ).
cnf(refute_0_4427,plain,
( complement(one) != meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4428,plain,
meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4426,refute_0_4427]) ).
cnf(refute_0_4429,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != complement(one)
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_4430,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_4428,refute_0_4429]) ).
cnf(refute_0_4431,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(complement(one),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4212,refute_0_4430]) ).
cnf(refute_0_4432,plain,
meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4433,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4434,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4432,refute_0_4433]) ).
cnf(refute_0_4435,plain,
meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4434]) ).
cnf(refute_0_4436,plain,
join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4437,plain,
( join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4438,plain,
( meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4436,refute_0_4437]) ).
cnf(refute_0_4439,plain,
join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4435,refute_0_4438]) ).
cnf(refute_0_4440,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4441,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4439,refute_0_4440]) ).
cnf(refute_0_4442,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4431,refute_0_4441]) ).
cnf(refute_0_4443,plain,
join(complement(one),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(one)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_4444,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X_32,$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4445,plain,
top = join(complement(X_149),join(complement(complement(X0)),meet(X_149,complement(X0)))),
inference(subst,[],[refute_0_4221:[bind(X_24,$fot(X_149)),bind(X_25,$fot(complement(X0)))]]) ).
cnf(refute_0_4446,plain,
( complement(complement(X0)) != X0
| top != join(complement(X_149),join(complement(complement(X0)),meet(X_149,complement(X0))))
| top = join(complement(X_149),join(X0,meet(X_149,complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_149),join(complement(complement(X0)),meet(X_149,complement(X0))))) ),[1,1,0],$fot(X0)]]) ).
cnf(refute_0_4447,plain,
( top != join(complement(X_149),join(complement(complement(X0)),meet(X_149,complement(X0))))
| top = join(complement(X_149),join(X0,meet(X_149,complement(X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_4446]) ).
cnf(refute_0_4448,plain,
top = join(complement(X_149),join(X0,meet(X_149,complement(X0)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_149),join(complement(complement(X0)),meet(X_149,complement(X0))))) )],[refute_0_4445,refute_0_4447]) ).
cnf(refute_0_4449,plain,
top = join(complement(complement(X0)),join(X_153,meet(complement(X0),complement(X_153)))),
inference(subst,[],[refute_0_4448:[bind(X0,$fot(X_153)),bind(X_149,$fot(complement(X0)))]]) ).
cnf(refute_0_4450,plain,
( complement(complement(X0)) != X0
| top != join(complement(complement(X0)),join(X_153,meet(complement(X0),complement(X_153))))
| top = join(X0,join(X_153,meet(complement(X0),complement(X_153)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(X0)),join(X_153,meet(complement(X0),complement(X_153))))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_4451,plain,
( top != join(complement(complement(X0)),join(X_153,meet(complement(X0),complement(X_153))))
| top = join(X0,join(X_153,meet(complement(X0),complement(X_153)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_4450]) ).
cnf(refute_0_4452,plain,
top = join(X0,join(X_153,meet(complement(X0),complement(X_153)))),
inference(resolve,[$cnf( $equal(top,join(complement(complement(X0)),join(X_153,meet(complement(X0),complement(X_153))))) )],[refute_0_4449,refute_0_4451]) ).
cnf(refute_0_4453,plain,
top = join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4452:[bind(X0,$fot(complement(one))),bind(X_153,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4454,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3900:[bind(X2,$fot(meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4455,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| top != join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| top = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4456,plain,
( top != join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| top = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4454,refute_0_4455]) ).
cnf(refute_0_4457,plain,
top = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(top,join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4453,refute_0_4456]) ).
cnf(refute_0_4458,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4459,plain,
( join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4460,plain,
( meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4458,refute_0_4459]) ).
cnf(refute_0_4461,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4435,refute_0_4460]) ).
cnf(refute_0_4462,plain,
( join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| top != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| top = join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4463,plain,
( top != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| top = join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4461,refute_0_4462]) ).
cnf(refute_0_4464,plain,
top = join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),meet(complement(complement(one)),complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4457,refute_0_4463]) ).
cnf(refute_0_4465,plain,
( top != join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4466,plain,
join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4464,refute_0_4465]) ).
cnf(refute_0_4467,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != top
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4468,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_4466,refute_0_4467]) ).
cnf(refute_0_4469,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4444,refute_0_4468]) ).
cnf(refute_0_4470,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4471,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_4470]) ).
cnf(refute_0_4472,plain,
join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4473,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4474,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4475,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4473,refute_0_4474]) ).
cnf(refute_0_4476,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_4475]) ).
cnf(refute_0_4477,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4478,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4479,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4477,refute_0_4478]) ).
cnf(refute_0_4480,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4476,refute_0_4479]) ).
cnf(refute_0_4481,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4482,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4483,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4481,refute_0_4482]) ).
cnf(refute_0_4484,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4483]) ).
cnf(refute_0_4485,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4486,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4484,refute_0_4485]) ).
cnf(refute_0_4487,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4480,refute_0_4486]) ).
cnf(refute_0_4488,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4489,plain,
( join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4487,refute_0_4488]) ).
cnf(refute_0_4490,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4472,refute_0_4489]) ).
cnf(refute_0_4491,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4492,plain,
( skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4490,refute_0_4491]) ).
cnf(refute_0_4493,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4471,refute_0_4492]) ).
cnf(refute_0_4494,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_4469,refute_0_4493]) ).
cnf(refute_0_4495,plain,
complement(join(complement(X_151),meet(X_151,complement(X_279)))) = meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(join(X_279,join(complement(X_151),meet(X_151,complement(X_279))))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(X_279)),bind(X_213,$fot(join(complement(X_151),meet(X_151,complement(X_279)))))]]) ).
cnf(refute_0_4496,plain,
join(complement(complement(X0)),join(complement(X_151),meet(X_151,complement(X0)))) = top,
inference(subst,[],[refute_0_4242:[bind(X_149,$fot(X_151)),bind(X_150,$fot(complement(X0)))]]) ).
cnf(refute_0_4497,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),join(complement(X_151),meet(X_151,complement(X0)))) != top
| join(X0,join(complement(X_151),meet(X_151,complement(X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),join(complement(X_151),meet(X_151,complement(X0)))),top) ),[0,0],$fot(X0)]]) ).
cnf(refute_0_4498,plain,
( join(complement(complement(X0)),join(complement(X_151),meet(X_151,complement(X0)))) != top
| join(X0,join(complement(X_151),meet(X_151,complement(X0)))) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_4497]) ).
cnf(refute_0_4499,plain,
join(X0,join(complement(X_151),meet(X_151,complement(X0)))) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),join(complement(X_151),meet(X_151,complement(X0)))),top) )],[refute_0_4496,refute_0_4498]) ).
cnf(refute_0_4500,plain,
join(X_279,join(complement(X_151),meet(X_151,complement(X_279)))) = top,
inference(subst,[],[refute_0_4499:[bind(X0,$fot(X_279))]]) ).
cnf(refute_0_4501,plain,
( complement(join(complement(X_151),meet(X_151,complement(X_279)))) != meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(join(X_279,join(complement(X_151),meet(X_151,complement(X_279)))))))
| join(X_279,join(complement(X_151),meet(X_151,complement(X_279)))) != top
| complement(join(complement(X_151),meet(X_151,complement(X_279)))) = meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_151),meet(X_151,complement(X_279)))),meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(join(X_279,join(complement(X_151),meet(X_151,complement(X_279)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_4502,plain,
( complement(join(complement(X_151),meet(X_151,complement(X_279)))) != meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(join(X_279,join(complement(X_151),meet(X_151,complement(X_279)))))))
| complement(join(complement(X_151),meet(X_151,complement(X_279)))) = meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) ),
inference(resolve,[$cnf( $equal(join(X_279,join(complement(X_151),meet(X_151,complement(X_279)))),top) )],[refute_0_4500,refute_0_4501]) ).
cnf(refute_0_4503,plain,
complement(join(complement(X_151),meet(X_151,complement(X_279)))) = meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_151),meet(X_151,complement(X_279)))),meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(join(X_279,join(complement(X_151),meet(X_151,complement(X_279)))))))) )],[refute_0_4495,refute_0_4502]) ).
cnf(refute_0_4504,plain,
( meet(X0,complement(X_27)) != complement(join(complement(X0),X_27))
| complement(join(complement(X0),X_27)) = meet(X0,complement(X_27)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X0,complement(X_27)))),bind(Y,$fot(complement(join(complement(X0),X_27))))]]) ).
cnf(refute_0_4505,plain,
complement(join(complement(X0),X_27)) = meet(X0,complement(X_27)),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_27)),complement(join(complement(X0),X_27))) )],[refute_0_328,refute_0_4504]) ).
cnf(refute_0_4506,plain,
complement(join(complement(X_151),meet(X_151,complement(X_279)))) = meet(X_151,complement(meet(X_151,complement(X_279)))),
inference(subst,[],[refute_0_4505:[bind(X0,$fot(X_151)),bind(X_27,$fot(meet(X_151,complement(X_279))))]]) ).
cnf(refute_0_4507,plain,
( complement(join(complement(X_151),meet(X_151,complement(X_279)))) != meet(X_151,complement(meet(X_151,complement(X_279))))
| complement(join(complement(X_151),meet(X_151,complement(X_279)))) != meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top)))
| meet(X_151,complement(meet(X_151,complement(X_279)))) = meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_151),meet(X_151,complement(X_279)))),meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top)))) ),[0],$fot(meet(X_151,complement(meet(X_151,complement(X_279)))))]]) ).
cnf(refute_0_4508,plain,
( complement(join(complement(X_151),meet(X_151,complement(X_279)))) != meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top)))
| meet(X_151,complement(meet(X_151,complement(X_279)))) = meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_151),meet(X_151,complement(X_279)))),meet(X_151,complement(meet(X_151,complement(X_279))))) )],[refute_0_4506,refute_0_4507]) ).
cnf(refute_0_4509,plain,
meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))))]]) ).
cnf(refute_0_4510,plain,
( complement(join(complement(X_151),meet(X_151,complement(X_279)))) != meet(X_151,complement(meet(X_151,complement(X_279))))
| meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) != meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279)))))
| meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))),meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279)))))) ),[1,1],$fot(meet(X_151,complement(meet(X_151,complement(X_279)))))]]) ).
cnf(refute_0_4511,plain,
( complement(join(complement(X_151),meet(X_151,complement(X_279)))) != meet(X_151,complement(meet(X_151,complement(X_279))))
| meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))),meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279)))))) )],[refute_0_4509,refute_0_4510]) ).
cnf(refute_0_4512,plain,
meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_151),meet(X_151,complement(X_279)))),meet(X_151,complement(meet(X_151,complement(X_279))))) )],[refute_0_4506,refute_0_4511]) ).
cnf(refute_0_4513,plain,
join(X_279,zero) = X_279,
inference(subst,[],[refute_0_571:[bind(X_66,$fot(X_279))]]) ).
cnf(refute_0_4514,plain,
join(X_279,complement(top)) = join(X_279,complement(top)),
introduced(tautology,[refl,[$fot(join(X_279,complement(top)))]]) ).
cnf(refute_0_4515,plain,
( complement(top) != zero
| join(X_279,complement(top)) != join(X_279,complement(top))
| join(X_279,complement(top)) = join(X_279,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_279,complement(top)),join(X_279,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_4516,plain,
( complement(top) != zero
| join(X_279,complement(top)) = join(X_279,zero) ),
inference(resolve,[$cnf( $equal(join(X_279,complement(top)),join(X_279,complement(top))) )],[refute_0_4514,refute_0_4515]) ).
cnf(refute_0_4517,plain,
join(X_279,complement(top)) = join(X_279,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4516]) ).
cnf(refute_0_4518,plain,
( join(X_279,complement(top)) != join(X_279,zero)
| join(X_279,zero) != X_279
| join(X_279,complement(top)) = X_279 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_279,complement(top)))),bind(Y,$fot(join(X_279,zero))),bind(Z,$fot(X_279))]]) ).
cnf(refute_0_4519,plain,
( join(X_279,zero) != X_279
| join(X_279,complement(top)) = X_279 ),
inference(resolve,[$cnf( $equal(join(X_279,complement(top)),join(X_279,zero)) )],[refute_0_4517,refute_0_4518]) ).
cnf(refute_0_4520,plain,
join(X_279,complement(top)) = X_279,
inference(resolve,[$cnf( $equal(join(X_279,zero),X_279) )],[refute_0_4513,refute_0_4519]) ).
cnf(refute_0_4521,plain,
meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))),
introduced(tautology,[refl,[$fot(meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))))]]) ).
cnf(refute_0_4522,plain,
( join(X_279,complement(top)) != X_279
| meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) != meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279)))))
| meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))),meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279)))))) ),[1,0],$fot(X_279)]]) ).
cnf(refute_0_4523,plain,
( join(X_279,complement(top)) != X_279
| meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) ),
inference(resolve,[$cnf( $equal(meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))),meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279)))))) )],[refute_0_4521,refute_0_4522]) ).
cnf(refute_0_4524,plain,
meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))),
inference(resolve,[$cnf( $equal(join(X_279,complement(top)),X_279) )],[refute_0_4520,refute_0_4523]) ).
cnf(refute_0_4525,plain,
( meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) != meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))
| meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) != meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279)))))
| meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))))),bind(Y,$fot(meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))))),bind(Z,$fot(meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))))]]) ).
cnf(refute_0_4526,plain,
( meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))) != meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))
| meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
inference(resolve,[$cnf( $equal(meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))),meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279)))))) )],[refute_0_4524,refute_0_4525]) ).
cnf(refute_0_4527,plain,
meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(complement(X_151),meet(X_151,complement(X_279))))),meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))) )],[refute_0_4512,refute_0_4526]) ).
cnf(refute_0_4528,plain,
meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) = meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(X_279,complement(top)))),bind(X_25,$fot(complement(join(complement(X_151),meet(X_151,complement(X_279))))))]]) ).
cnf(refute_0_4529,plain,
( meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) != meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279)))))
| meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) != meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))
| meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))))),bind(Y,$fot(meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))))),bind(Z,$fot(meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))))]]) ).
cnf(refute_0_4530,plain,
( meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))) != meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))
| meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))),meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279)))))) )],[refute_0_4528,refute_0_4529]) ).
cnf(refute_0_4531,plain,
meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))),
inference(resolve,[$cnf( $equal(meet(join(X_279,complement(top)),complement(join(complement(X_151),meet(X_151,complement(X_279))))),meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))) )],[refute_0_4527,refute_0_4530]) ).
cnf(refute_0_4532,plain,
( meet(X_151,complement(meet(X_151,complement(X_279)))) != meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top)))
| meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))) != meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))
| meet(X_151,complement(meet(X_151,complement(X_279)))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_151,complement(meet(X_151,complement(X_279)))),meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))) ),[0],$fot(meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))))]]) ).
cnf(refute_0_4533,plain,
( meet(X_151,complement(meet(X_151,complement(X_279)))) != meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top)))
| meet(X_151,complement(meet(X_151,complement(X_279)))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top))),meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))) )],[refute_0_4531,refute_0_4532]) ).
cnf(refute_0_4534,plain,
( complement(join(complement(X_151),meet(X_151,complement(X_279)))) != meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top)))
| meet(X_151,complement(meet(X_151,complement(X_279)))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) ),
inference(resolve,[$cnf( $equal(meet(X_151,complement(meet(X_151,complement(X_279)))),meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top)))) )],[refute_0_4508,refute_0_4533]) ).
cnf(refute_0_4535,plain,
meet(X_151,complement(meet(X_151,complement(X_279)))) = meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_151),meet(X_151,complement(X_279)))),meet(complement(join(complement(X_151),meet(X_151,complement(X_279)))),join(X_279,complement(top)))) )],[refute_0_4503,refute_0_4534]) ).
cnf(refute_0_4536,plain,
( meet(X_151,complement(meet(X_151,complement(X_279)))) != meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))
| meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) = meet(X_151,complement(meet(X_151,complement(X_279)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_151,complement(meet(X_151,complement(X_279)))))),bind(Y,$fot(meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))))]]) ).
cnf(refute_0_4537,plain,
meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279))))) = meet(X_151,complement(meet(X_151,complement(X_279)))),
inference(resolve,[$cnf( $equal(meet(X_151,complement(meet(X_151,complement(X_279)))),meet(X_279,meet(X_151,complement(meet(X_151,complement(X_279)))))) )],[refute_0_4535,refute_0_4536]) ).
cnf(refute_0_4538,plain,
meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_4537:[bind(X_151,$fot(one)),bind(X_279,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4539,plain,
( meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| skolemFOFtoCNF_X0 = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4540,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| skolemFOFtoCNF_X0 = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4538,refute_0_4539]) ).
cnf(refute_0_4541,plain,
skolemFOFtoCNF_X0 = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4494,refute_0_4540]) ).
cnf(refute_0_4542,plain,
( skolemFOFtoCNF_X0 != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4543,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4541,refute_0_4542]) ).
cnf(refute_0_4544,plain,
join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4545,plain,
( join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4546,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != skolemFOFtoCNF_X0
| join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4544,refute_0_4545]) ).
cnf(refute_0_4547,plain,
join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0) )],[refute_0_4543,refute_0_4546]) ).
cnf(refute_0_4548,plain,
( join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(one),skolemFOFtoCNF_X0)
| join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),meet(one,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_4549,plain,
( join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_4547,refute_0_4548]) ).
cnf(refute_0_4550,plain,
join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4443,refute_0_4549]) ).
cnf(refute_0_4551,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) ),[0],$fot(join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4552,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4550,refute_0_4551]) ).
cnf(refute_0_4553,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(one),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_4442,refute_0_4552]) ).
cnf(refute_0_4554,plain,
meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4555,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_4556,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4554,refute_0_4555]) ).
cnf(refute_0_4557,plain,
meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4553,refute_0_4556]) ).
cnf(refute_0_4558,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4559,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4560,plain,
( meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4558,refute_0_4559]) ).
cnf(refute_0_4561,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4557,refute_0_4560]) ).
cnf(refute_0_4562,plain,
( converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4563,plain,
( converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4561,refute_0_4562]) ).
cnf(refute_0_4564,plain,
converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4211,refute_0_4563]) ).
cnf(refute_0_4565,plain,
( converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4566,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4564,refute_0_4565]) ).
cnf(refute_0_4567,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0,1],$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4568,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4566,refute_0_4567]) ).
cnf(refute_0_4569,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3952,refute_0_4568]) ).
cnf(refute_0_4570,plain,
join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(join(one,meet(one,complement(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4571,plain,
join(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) = join(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4572,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) != join(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| join(one,one) = join(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),join(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),[0,1],$fot(one)]]) ).
cnf(refute_0_4573,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))) != join(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(one,one) = join(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_4399,refute_0_4572]) ).
cnf(refute_0_4574,plain,
join(one,one) = join(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0)))),join(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4571,refute_0_4573]) ).
cnf(refute_0_4575,plain,
( join(one,one) != join(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(one,one) != one
| one = join(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(one)]]) ).
cnf(refute_0_4576,plain,
( join(one,one) != join(one,meet(one,complement(skolemFOFtoCNF_X0)))
| one = join(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1845,refute_0_4575]) ).
cnf(refute_0_4577,plain,
one = join(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,one),join(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4574,refute_0_4576]) ).
cnf(refute_0_4578,plain,
( one != join(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(one,meet(one,complement(skolemFOFtoCNF_X0))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4579,plain,
join(one,meet(one,complement(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4577,refute_0_4578]) ).
cnf(refute_0_4580,plain,
( join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(one,meet(one,complement(skolemFOFtoCNF_X0))) != one
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4581,plain,
( join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) != join(join(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_4579,refute_0_4580]) ).
cnf(refute_0_4582,plain,
join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),X2)),join(join(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)) )],[refute_0_4570,refute_0_4581]) ).
cnf(refute_0_4583,plain,
join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4582:[bind(X2,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4584,plain,
converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4585,plain,
( converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4586,plain,
( join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_4584,refute_0_4585]) ).
cnf(refute_0_4587,plain,
converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4583,refute_0_4586]) ).
cnf(refute_0_4588,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))))),bind(Y,$fot(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4589,plain,
( converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3952,refute_0_4588]) ).
cnf(refute_0_4590,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4587,refute_0_4589]) ).
cnf(refute_0_4591,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4592,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4590,refute_0_4591]) ).
cnf(refute_0_4593,plain,
converse(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4594,plain,
converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(converse(skolemFOFtoCNF_X0))),bind(X_64,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4595,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0,1],$fot(one)]]) ).
cnf(refute_0_4596,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,one)) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_4126,refute_0_4595]) ).
cnf(refute_0_4597,plain,
converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4594,refute_0_4596]) ).
cnf(refute_0_4598,plain,
join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4599,plain,
join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4600,plain,
( join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4601,plain,
( join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4599,refute_0_4600]) ).
cnf(refute_0_4602,plain,
join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4598,refute_0_4601]) ).
cnf(refute_0_4603,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2632:[bind(X_180,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_181,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4604,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4605,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4603,refute_0_4604]) ).
cnf(refute_0_4606,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4602,refute_0_4605]) ).
cnf(refute_0_4607,plain,
converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(one)),bind(X_180,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_181,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4608,plain,
( converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one)))
| join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))))),bind(Z,$fot(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4609,plain,
( join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one)))) )],[refute_0_4607,refute_0_4608]) ).
cnf(refute_0_4610,plain,
converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4606,refute_0_4609]) ).
cnf(refute_0_4611,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))))),bind(Y,$fot(converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4612,plain,
( converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4594,refute_0_4611]) ).
cnf(refute_0_4613,plain,
converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) = converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4610,refute_0_4612]) ).
cnf(refute_0_4614,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,one))
| converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),converse(join(one,one))) ),[0],$fot(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4615,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,one))
| converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4613,refute_0_4614]) ).
cnf(refute_0_4616,plain,
converse(join(one,one)) = converse(join(one,one)),
introduced(tautology,[refl,[$fot(converse(join(one,one)))]]) ).
cnf(refute_0_4617,plain,
( converse(join(one,one)) != converse(join(one,one))
| join(one,one) != one
| converse(join(one,one)) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),converse(join(one,one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4618,plain,
( join(one,one) != one
| converse(join(one,one)) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),converse(join(one,one))) )],[refute_0_4616,refute_0_4617]) ).
cnf(refute_0_4619,plain,
converse(join(one,one)) = converse(one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1845,refute_0_4618]) ).
cnf(refute_0_4620,plain,
( converse(join(one,one)) != converse(one)
| converse(one) != one
| converse(join(one,one)) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,one)))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4621,plain,
( converse(one) != one
| converse(join(one,one)) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),converse(one)) )],[refute_0_4619,refute_0_4620]) ).
cnf(refute_0_4622,plain,
converse(join(one,one)) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_4621]) ).
cnf(refute_0_4623,plain,
( converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(one,one))
| converse(join(one,one)) != one
| converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) ),[0],$fot(converse(join(one,one)))]]) ).
cnf(refute_0_4624,plain,
( converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(one,one))
| converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),one) )],[refute_0_4622,refute_0_4623]) ).
cnf(refute_0_4625,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))) != converse(join(one,one))
| converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(one,one))) )],[refute_0_4615,refute_0_4624]) ).
cnf(refute_0_4626,plain,
converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),one))),converse(join(one,one))) )],[refute_0_4597,refute_0_4625]) ).
cnf(refute_0_4627,plain,
( converse(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != one
| converse(one) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_4628,plain,
( converse(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(one) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_4626,refute_0_4627]) ).
cnf(refute_0_4629,plain,
converse(one) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4593,refute_0_4628]) ).
cnf(refute_0_4630,plain,
( converse(one) != join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(one) != one
| one = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(one),join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(one)]]) ).
cnf(refute_0_4631,plain,
( converse(one) != join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| one = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_4630]) ).
cnf(refute_0_4632,plain,
one = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(one),join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4629,refute_0_4631]) ).
cnf(refute_0_4633,plain,
( one != join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4634,plain,
join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4632,refute_0_4633]) ).
cnf(refute_0_4635,plain,
join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4636,plain,
( converse(one) != one
| join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4637,plain,
( converse(one) != one
| join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4635,refute_0_4636]) ).
cnf(refute_0_4638,plain,
join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_4637]) ).
cnf(refute_0_4639,plain,
( join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4640,plain,
( join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one ),
inference(resolve,[$cnf( $equal(join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4638,refute_0_4639]) ).
cnf(refute_0_4641,plain,
join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_4634,refute_0_4640]) ).
cnf(refute_0_4642,plain,
converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_425:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_6,$fot(one))]]) ).
cnf(refute_0_4643,plain,
( converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_4644,plain,
( join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4642,refute_0_4643]) ).
cnf(refute_0_4645,plain,
converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(join(converse(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_4641,refute_0_4644]) ).
cnf(refute_0_4646,plain,
( converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != one
| converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(one)]]) ).
cnf(refute_0_4647,plain,
( converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_4645,refute_0_4646]) ).
cnf(refute_0_4648,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4592,refute_0_4647]) ).
cnf(refute_0_4649,plain,
converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4569,refute_0_4648]) ).
cnf(refute_0_4650,plain,
( converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(converse(X0),converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != one
| converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(converse(X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(converse(X0),converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_4651,plain,
( converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(converse(X0),converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(converse(X0),one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_4649,refute_0_4650]) ).
cnf(refute_0_4652,plain,
converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(converse(X0),one),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(converse(X0),converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_3951,refute_0_4651]) ).
cnf(refute_0_4653,plain,
converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))]]) ).
cnf(refute_0_4654,plain,
converse(join(X_410,one)) = join(meet(skolemFOFtoCNF_X0,converse(join(X_410,one))),meet(complement(skolemFOFtoCNF_X0),converse(join(X_410,one)))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(join(X_410,one)))),bind(X_55,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4655,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X_32,$fot(join(X0,join(one,X_198))))]]) ).
cnf(refute_0_4656,plain,
join(X0,join(one,join(X_198,complement(skolemFOFtoCNF_X0)))) = join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_46:[bind(X1,$fot(one)),bind(X2,$fot(join(X_198,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4657,plain,
join(one,join(skolemFOFtoCNF_X0,join(X_197,complement(skolemFOFtoCNF_X0)))) = join(one,join(X_197,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(join(X_197,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4658,plain,
join(skolemFOFtoCNF_X0,join(X_197,complement(skolemFOFtoCNF_X0))) = top,
inference(subst,[],[refute_0_3457:[bind(X_31,$fot(skolemFOFtoCNF_X0)),bind(X_65,$fot(X_197))]]) ).
cnf(refute_0_4659,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_197,complement(skolemFOFtoCNF_X0)))) != join(one,join(X_197,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,join(X_197,complement(skolemFOFtoCNF_X0))) != top
| join(one,top) = join(one,join(X_197,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_197,complement(skolemFOFtoCNF_X0)))),join(one,join(X_197,complement(skolemFOFtoCNF_X0)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4660,plain,
( join(one,join(skolemFOFtoCNF_X0,join(X_197,complement(skolemFOFtoCNF_X0)))) != join(one,join(X_197,complement(skolemFOFtoCNF_X0)))
| join(one,top) = join(one,join(X_197,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_197,complement(skolemFOFtoCNF_X0))),top) )],[refute_0_4658,refute_0_4659]) ).
cnf(refute_0_4661,plain,
join(one,top) = join(one,join(X_197,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,join(X_197,complement(skolemFOFtoCNF_X0)))),join(one,join(X_197,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4657,refute_0_4660]) ).
cnf(refute_0_4662,plain,
( join(one,top) != join(one,join(X_197,complement(skolemFOFtoCNF_X0)))
| join(one,top) != top
| top = join(one,join(X_197,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,join(X_197,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(top)]]) ).
cnf(refute_0_4663,plain,
( join(one,top) != join(one,join(X_197,complement(skolemFOFtoCNF_X0)))
| top = join(one,join(X_197,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_4662]) ).
cnf(refute_0_4664,plain,
top = join(one,join(X_197,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,join(X_197,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4661,refute_0_4663]) ).
cnf(refute_0_4665,plain,
top = join(one,join(X_198,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4664:[bind(X_197,$fot(X_198))]]) ).
cnf(refute_0_4666,plain,
( top != join(one,join(X_198,complement(skolemFOFtoCNF_X0)))
| join(one,join(X_198,complement(skolemFOFtoCNF_X0))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(X_198,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4667,plain,
join(one,join(X_198,complement(skolemFOFtoCNF_X0))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(X_198,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4665,refute_0_4666]) ).
cnf(refute_0_4668,plain,
( join(X0,join(one,join(X_198,complement(skolemFOFtoCNF_X0)))) != join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))
| join(one,join(X_198,complement(skolemFOFtoCNF_X0))) != top
| join(X0,top) = join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,join(X_198,complement(skolemFOFtoCNF_X0)))),join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_4669,plain,
( join(X0,join(one,join(X_198,complement(skolemFOFtoCNF_X0)))) != join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))
| join(X0,top) = join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_198,complement(skolemFOFtoCNF_X0))),top) )],[refute_0_4667,refute_0_4668]) ).
cnf(refute_0_4670,plain,
join(X0,top) = join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(X0,join(one,join(X_198,complement(skolemFOFtoCNF_X0)))),join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4656,refute_0_4669]) ).
cnf(refute_0_4671,plain,
( join(X0,top) != join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))
| join(X0,top) != top
| top = join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,top),join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(top)]]) ).
cnf(refute_0_4672,plain,
( join(X0,top) != join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))
| top = join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(X0,top),top) )],[refute_0_3441,refute_0_4671]) ).
cnf(refute_0_4673,plain,
join(join(X0,one),X_198) = join(X0,join(one,X_198)),
inference(subst,[],[refute_0_437:[bind(X1,$fot(one)),bind(X2,$fot(X_198))]]) ).
cnf(refute_0_4674,plain,
join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)) = join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)))]]) ).
cnf(refute_0_4675,plain,
( join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)) != join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198))
| join(join(X0,one),X_198) != join(X0,join(one,X_198))
| join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)),join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198))) ),[1,1],$fot(join(X0,join(one,X_198)))]]) ).
cnf(refute_0_4676,plain,
( join(join(X0,one),X_198) != join(X0,join(one,X_198))
| join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)),join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198))) )],[refute_0_4674,refute_0_4675]) ).
cnf(refute_0_4677,plain,
join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))),
inference(resolve,[$cnf( $equal(join(join(X0,one),X_198),join(X0,join(one,X_198))) )],[refute_0_4673,refute_0_4676]) ).
cnf(refute_0_4678,plain,
join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)),
inference(subst,[],[refute_0_4145:[bind(X_179,$fot(complement(skolemFOFtoCNF_X0))),bind(X_180,$fot(X_198)),bind(X_9,$fot(join(X0,one)))]]) ).
cnf(refute_0_4679,plain,
( join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)) != join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))
| join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) != join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198))
| join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)))),bind(Z,$fot(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))))]]) ).
cnf(refute_0_4680,plain,
( join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)) != join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))
| join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198))) )],[refute_0_4678,refute_0_4679]) ).
cnf(refute_0_4681,plain,
join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(join(X0,one),X_198)),join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))) )],[refute_0_4677,refute_0_4680]) ).
cnf(refute_0_4682,plain,
( join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))) != join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))
| top != join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))
| top = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))) ),[1],$fot(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))))]]) ).
cnf(refute_0_4683,plain,
( top != join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))
| top = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) ),
inference(resolve,[$cnf( $equal(join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))) )],[refute_0_4681,refute_0_4682]) ).
cnf(refute_0_4684,plain,
( join(X0,top) != join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))
| top = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) ),
inference(resolve,[$cnf( $equal(top,join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4672,refute_0_4683]) ).
cnf(refute_0_4685,plain,
top = join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))),
inference(resolve,[$cnf( $equal(join(X0,top),join(join(X0,one),join(X_198,complement(skolemFOFtoCNF_X0)))) )],[refute_0_4670,refute_0_4684]) ).
cnf(refute_0_4686,plain,
( top != join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))
| join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))))]]) ).
cnf(refute_0_4687,plain,
join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))) )],[refute_0_4685,refute_0_4686]) ).
cnf(refute_0_4688,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))) != top
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4689,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198))),top) )],[refute_0_4687,refute_0_4688]) ).
cnf(refute_0_4690,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),join(X0,join(one,X_198)))),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) )],[refute_0_4655,refute_0_4689]) ).
cnf(refute_0_4691,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4692,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_4691]) ).
cnf(refute_0_4693,plain,
join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))))]]) ).
cnf(refute_0_4694,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))) = meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))]]) ).
cnf(refute_0_4695,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))) != meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))
| meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))) = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4696,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))) = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) )],[refute_0_4694,refute_0_4695]) ).
cnf(refute_0_4697,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))) = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_4696]) ).
cnf(refute_0_4698,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))))]]) ).
cnf(refute_0_4699,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))) != meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))))]]) ).
cnf(refute_0_4700,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))) != meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) )],[refute_0_4698,refute_0_4699]) ).
cnf(refute_0_4701,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) )],[refute_0_4697,refute_0_4700]) ).
cnf(refute_0_4702,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))))]]) ).
cnf(refute_0_4703,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4704,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) )],[refute_0_4702,refute_0_4703]) ).
cnf(refute_0_4705,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4704]) ).
cnf(refute_0_4706,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) != join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))))),bind(Y,$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))))),bind(Z,$fot(join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))))))]]) ).
cnf(refute_0_4707,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) != join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) )],[refute_0_4705,refute_0_4706]) ).
cnf(refute_0_4708,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))))) )],[refute_0_4701,refute_0_4707]) ).
cnf(refute_0_4709,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) != join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))))
| join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) != meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))))]]) ).
cnf(refute_0_4710,plain,
( join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) != meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))))) )],[refute_0_4708,refute_0_4709]) ).
cnf(refute_0_4711,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) )],[refute_0_4693,refute_0_4710]) ).
cnf(refute_0_4712,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))) != meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))
| skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))))]]) ).
cnf(refute_0_4713,plain,
( skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198)))),meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198)))) )],[refute_0_4711,refute_0_4712]) ).
cnf(refute_0_4714,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) )],[refute_0_4692,refute_0_4713]) ).
cnf(refute_0_4715,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X0,join(one,X_198))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),join(X0,join(one,X_198))))) )],[refute_0_4690,refute_0_4714]) ).
cnf(refute_0_4716,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(one,join(one,converse(X_180)))),
inference(subst,[],[refute_0_4715:[bind(X0,$fot(one)),bind(X_198,$fot(converse(X_180)))]]) ).
cnf(refute_0_4717,plain,
join(one,converse(join(X_180,one))) = join(one,join(one,converse(X_180))),
inference(subst,[],[refute_0_2632:[bind(X_181,$fot(one))]]) ).
cnf(refute_0_4718,plain,
( join(one,converse(join(X_180,one))) != join(one,join(one,converse(X_180)))
| join(one,join(one,converse(X_180))) = join(one,converse(join(X_180,one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,converse(join(X_180,one))))),bind(Y,$fot(join(one,join(one,converse(X_180)))))]]) ).
cnf(refute_0_4719,plain,
join(one,join(one,converse(X_180))) = join(one,converse(join(X_180,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_180,one))),join(one,join(one,converse(X_180)))) )],[refute_0_4717,refute_0_4718]) ).
cnf(refute_0_4720,plain,
( join(one,join(one,converse(X_180))) != join(one,converse(join(X_180,one)))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(one,join(one,converse(X_180))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(one,join(one,converse(X_180))))) ),[1,1],$fot(join(one,converse(join(X_180,one))))]]) ).
cnf(refute_0_4721,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(one,join(one,converse(X_180))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X_180))),join(one,converse(join(X_180,one)))) )],[refute_0_4719,refute_0_4720]) ).
cnf(refute_0_4722,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(one,join(one,converse(X_180))))) )],[refute_0_4716,refute_0_4721]) ).
cnf(refute_0_4723,plain,
join(one,join(X_180,one)) = join(X_180,one),
inference(subst,[],[refute_0_2547:[bind(X0,$fot(X_180))]]) ).
cnf(refute_0_4724,plain,
converse(join(one,join(X_180,one))) = converse(join(one,join(X_180,one))),
introduced(tautology,[refl,[$fot(converse(join(one,join(X_180,one))))]]) ).
cnf(refute_0_4725,plain,
( converse(join(one,join(X_180,one))) != converse(join(one,join(X_180,one)))
| join(one,join(X_180,one)) != join(X_180,one)
| converse(join(one,join(X_180,one))) = converse(join(X_180,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_180,one))),converse(join(one,join(X_180,one)))) ),[1,0],$fot(join(X_180,one))]]) ).
cnf(refute_0_4726,plain,
( join(one,join(X_180,one)) != join(X_180,one)
| converse(join(one,join(X_180,one))) = converse(join(X_180,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_180,one))),converse(join(one,join(X_180,one)))) )],[refute_0_4724,refute_0_4725]) ).
cnf(refute_0_4727,plain,
converse(join(one,join(X_180,one))) = converse(join(X_180,one)),
inference(resolve,[$cnf( $equal(join(one,join(X_180,one)),join(X_180,one)) )],[refute_0_4723,refute_0_4726]) ).
cnf(refute_0_4728,plain,
join(one,converse(join(X_180,one))) = converse(join(one,join(X_180,one))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(X_180,one)))]]) ).
cnf(refute_0_4729,plain,
( converse(join(one,join(X_180,one))) != converse(join(X_180,one))
| join(one,converse(join(X_180,one))) != converse(join(one,join(X_180,one)))
| join(one,converse(join(X_180,one))) = converse(join(X_180,one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(join(X_180,one))))),bind(Y,$fot(converse(join(one,join(X_180,one))))),bind(Z,$fot(converse(join(X_180,one))))]]) ).
cnf(refute_0_4730,plain,
( converse(join(one,join(X_180,one))) != converse(join(X_180,one))
| join(one,converse(join(X_180,one))) = converse(join(X_180,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_180,one))),converse(join(one,join(X_180,one)))) )],[refute_0_4728,refute_0_4729]) ).
cnf(refute_0_4731,plain,
join(one,converse(join(X_180,one))) = converse(join(X_180,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_180,one))),converse(join(X_180,one))) )],[refute_0_4727,refute_0_4730]) ).
cnf(refute_0_4732,plain,
meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))) = meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))))]]) ).
cnf(refute_0_4733,plain,
( join(one,converse(join(X_180,one))) != converse(join(X_180,one))
| meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))) != meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one))))
| meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))) = meet(skolemFOFtoCNF_X0,converse(join(X_180,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))),meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one))))) ),[1,1],$fot(converse(join(X_180,one)))]]) ).
cnf(refute_0_4734,plain,
( join(one,converse(join(X_180,one))) != converse(join(X_180,one))
| meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))) = meet(skolemFOFtoCNF_X0,converse(join(X_180,one))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))),meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one))))) )],[refute_0_4732,refute_0_4733]) ).
cnf(refute_0_4735,plain,
meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))) = meet(skolemFOFtoCNF_X0,converse(join(X_180,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_180,one))),converse(join(X_180,one))) )],[refute_0_4731,refute_0_4734]) ).
cnf(refute_0_4736,plain,
( meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))) != meet(skolemFOFtoCNF_X0,converse(join(X_180,one)))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(X_180,one))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,converse(join(X_180,one))))]]) ).
cnf(refute_0_4737,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(X_180,one))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one)))),meet(skolemFOFtoCNF_X0,converse(join(X_180,one)))) )],[refute_0_4735,refute_0_4736]) ).
cnf(refute_0_4738,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(X_180,one))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(one,converse(join(X_180,one))))) )],[refute_0_4722,refute_0_4737]) ).
cnf(refute_0_4739,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(X_410,one))),
inference(subst,[],[refute_0_4738:[bind(X_180,$fot(X_410))]]) ).
cnf(refute_0_4740,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(join(X_410,one)))
| meet(skolemFOFtoCNF_X0,converse(join(X_410,one))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(join(X_410,one)))))]]) ).
cnf(refute_0_4741,plain,
meet(skolemFOFtoCNF_X0,converse(join(X_410,one))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(join(X_410,one)))) )],[refute_0_4739,refute_0_4740]) ).
cnf(refute_0_4742,plain,
( converse(join(X_410,one)) != join(meet(skolemFOFtoCNF_X0,converse(join(X_410,one))),meet(complement(skolemFOFtoCNF_X0),converse(join(X_410,one))))
| meet(skolemFOFtoCNF_X0,converse(join(X_410,one))) != skolemFOFtoCNF_X0
| converse(join(X_410,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_410,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_410,one)),join(meet(skolemFOFtoCNF_X0,converse(join(X_410,one))),meet(complement(skolemFOFtoCNF_X0),converse(join(X_410,one))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4743,plain,
( converse(join(X_410,one)) != join(meet(skolemFOFtoCNF_X0,converse(join(X_410,one))),meet(complement(skolemFOFtoCNF_X0),converse(join(X_410,one))))
| converse(join(X_410,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_410,one)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(join(X_410,one))),skolemFOFtoCNF_X0) )],[refute_0_4741,refute_0_4742]) ).
cnf(refute_0_4744,plain,
converse(join(X_410,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_410,one)))),
inference(resolve,[$cnf( $equal(converse(join(X_410,one)),join(meet(skolemFOFtoCNF_X0,converse(join(X_410,one))),meet(complement(skolemFOFtoCNF_X0),converse(join(X_410,one))))) )],[refute_0_4654,refute_0_4743]) ).
cnf(refute_0_4745,plain,
converse(join(X_422,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))),
inference(subst,[],[refute_0_4744:[bind(X_410,$fot(X_422))]]) ).
cnf(refute_0_4746,plain,
( converse(join(X_422,one)) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) = converse(join(X_422,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_422,one)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))]]) ).
cnf(refute_0_4747,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) = converse(join(X_422,one)),
inference(resolve,[$cnf( $equal(converse(join(X_422,one)),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) )],[refute_0_4745,refute_0_4746]) ).
cnf(refute_0_4748,plain,
( converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) != converse(join(X_422,one))
| converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) = converse(join(one,converse(join(X_422,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))),converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))) ),[1,0,1],$fot(converse(join(X_422,one)))]]) ).
cnf(refute_0_4749,plain,
( converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))
| converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) = converse(join(one,converse(join(X_422,one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))),converse(join(X_422,one))) )],[refute_0_4747,refute_0_4748]) ).
cnf(refute_0_4750,plain,
converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) = converse(join(one,converse(join(X_422,one)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))),converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))) )],[refute_0_4653,refute_0_4749]) ).
cnf(refute_0_4751,plain,
join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))]]) ).
cnf(refute_0_4752,plain,
converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) = converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))))]]) ).
cnf(refute_0_4753,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) != converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))
| join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))
| converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))),converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))) ),[1,0],$fot(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))]]) ).
cnf(refute_0_4754,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))
| converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))),converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))) )],[refute_0_4752,refute_0_4753]) ).
cnf(refute_0_4755,plain,
converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) )],[refute_0_4751,refute_0_4754]) ).
cnf(refute_0_4756,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) != converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))
| converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))
| converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))))),bind(Y,$fot(converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))))),bind(Z,$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))))]]) ).
cnf(refute_0_4757,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) != converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))
| converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))),converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))) )],[refute_0_4653,refute_0_4756]) ).
cnf(refute_0_4758,plain,
converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))),converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) )],[refute_0_4755,refute_0_4757]) ).
cnf(refute_0_4759,plain,
( converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) != converse(join(one,converse(join(X_422,one))))
| converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) != converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = converse(join(one,converse(join(X_422,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))),converse(join(one,converse(join(X_422,one))))) ),[0],$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))]]) ).
cnf(refute_0_4760,plain,
( converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) != converse(join(one,converse(join(X_422,one))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = converse(join(one,converse(join(X_422,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))),converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) )],[refute_0_4758,refute_0_4759]) ).
cnf(refute_0_4761,plain,
join(one,join(one,X_422)) = join(one,X_422),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(one)),bind(X_139,$fot(X_422))]]) ).
cnf(refute_0_4762,plain,
join(converse(one),X_422) = join(converse(one),X_422),
introduced(tautology,[refl,[$fot(join(converse(one),X_422))]]) ).
cnf(refute_0_4763,plain,
( converse(one) != one
| join(converse(one),X_422) != join(converse(one),X_422)
| join(converse(one),X_422) = join(one,X_422) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X_422),join(converse(one),X_422)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4764,plain,
( converse(one) != one
| join(converse(one),X_422) = join(one,X_422) ),
inference(resolve,[$cnf( $equal(join(converse(one),X_422),join(converse(one),X_422)) )],[refute_0_4762,refute_0_4763]) ).
cnf(refute_0_4765,plain,
join(converse(one),X_422) = join(one,X_422),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_4764]) ).
cnf(refute_0_4766,plain,
join(one,join(converse(one),X_422)) = join(one,join(converse(one),X_422)),
introduced(tautology,[refl,[$fot(join(one,join(converse(one),X_422)))]]) ).
cnf(refute_0_4767,plain,
( join(converse(one),X_422) != join(one,X_422)
| join(one,join(converse(one),X_422)) != join(one,join(converse(one),X_422))
| join(one,join(converse(one),X_422)) = join(one,join(one,X_422)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(one),X_422)),join(one,join(converse(one),X_422))) ),[1,1],$fot(join(one,X_422))]]) ).
cnf(refute_0_4768,plain,
( join(converse(one),X_422) != join(one,X_422)
| join(one,join(converse(one),X_422)) = join(one,join(one,X_422)) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(one),X_422)),join(one,join(converse(one),X_422))) )],[refute_0_4766,refute_0_4767]) ).
cnf(refute_0_4769,plain,
join(one,join(converse(one),X_422)) = join(one,join(one,X_422)),
inference(resolve,[$cnf( $equal(join(converse(one),X_422),join(one,X_422)) )],[refute_0_4765,refute_0_4768]) ).
cnf(refute_0_4770,plain,
( join(one,join(converse(one),X_422)) != join(one,join(one,X_422))
| join(one,join(one,X_422)) != join(one,X_422)
| join(one,join(converse(one),X_422)) = join(one,X_422) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(one),X_422)))),bind(Y,$fot(join(one,join(one,X_422)))),bind(Z,$fot(join(one,X_422)))]]) ).
cnf(refute_0_4771,plain,
( join(one,join(one,X_422)) != join(one,X_422)
| join(one,join(converse(one),X_422)) = join(one,X_422) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(one),X_422)),join(one,join(one,X_422))) )],[refute_0_4769,refute_0_4770]) ).
cnf(refute_0_4772,plain,
join(one,join(converse(one),X_422)) = join(one,X_422),
inference(resolve,[$cnf( $equal(join(one,join(one,X_422)),join(one,X_422)) )],[refute_0_4761,refute_0_4771]) ).
cnf(refute_0_4773,plain,
join(X_411,one) = join(meet(skolemFOFtoCNF_X0,join(X_411,one)),meet(complement(skolemFOFtoCNF_X0),join(X_411,one))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(join(X_411,one))),bind(X_55,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4774,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_408,join(one,meet(one,complement(composition(top,one)))))),
inference(subst,[],[refute_0_4715:[bind(X0,$fot(X_408)),bind(X_198,$fot(meet(one,complement(composition(top,one)))))]]) ).
cnf(refute_0_4775,plain,
X_44 = join(meet(X_44,composition(top,X_44)),meet(complement(composition(top,X_44)),X_44)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(composition(top,X_44)))]]) ).
cnf(refute_0_4776,plain,
complement(complement(X_251)) = join(complement(join(complement(X_251),composition(top,X_251))),meet(complement(complement(X_251)),composition(top,X_251))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(X_251))),bind(X_32,$fot(composition(top,X_251)))]]) ).
cnf(refute_0_4777,plain,
( join(X_63,join(complement(X_63),X_65)) != join(top,X_65)
| join(top,X_65) != top
| join(X_63,join(complement(X_63),X_65)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_63,join(complement(X_63),X_65)),top) ),[0],$fot(join(top,X_65))]]) ).
cnf(refute_0_4778,plain,
( join(X_63,join(complement(X_63),X_65)) != join(top,X_65)
| join(X_63,join(complement(X_63),X_65)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_65),top) )],[refute_0_3453,refute_0_4777]) ).
cnf(refute_0_4779,plain,
join(X_63,join(complement(X_63),X_65)) = top,
inference(resolve,[$cnf( $equal(join(X_63,join(complement(X_63),X_65)),join(top,X_65)) )],[refute_0_1264,refute_0_4778]) ).
cnf(refute_0_4780,plain,
join(X_242,join(complement(X_242),composition(X_108,complement(X_242)))) = top,
inference(subst,[],[refute_0_4779:[bind(X_63,$fot(X_242)),bind(X_65,$fot(composition(X_108,complement(X_242))))]]) ).
cnf(refute_0_4781,plain,
composition(join(X_108,one),complement(X_242)) = join(complement(X_242),composition(X_108,complement(X_242))),
inference(subst,[],[refute_0_685:[bind(X_110,$fot(complement(X_242)))]]) ).
cnf(refute_0_4782,plain,
( composition(join(X_108,one),complement(X_242)) != join(complement(X_242),composition(X_108,complement(X_242)))
| join(complement(X_242),composition(X_108,complement(X_242))) = composition(join(X_108,one),complement(X_242)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_108,one),complement(X_242)))),bind(Y,$fot(join(complement(X_242),composition(X_108,complement(X_242)))))]]) ).
cnf(refute_0_4783,plain,
join(complement(X_242),composition(X_108,complement(X_242))) = composition(join(X_108,one),complement(X_242)),
inference(resolve,[$cnf( $equal(composition(join(X_108,one),complement(X_242)),join(complement(X_242),composition(X_108,complement(X_242)))) )],[refute_0_4781,refute_0_4782]) ).
cnf(refute_0_4784,plain,
( join(X_242,join(complement(X_242),composition(X_108,complement(X_242)))) != top
| join(complement(X_242),composition(X_108,complement(X_242))) != composition(join(X_108,one),complement(X_242))
| join(X_242,composition(join(X_108,one),complement(X_242))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_242,join(complement(X_242),composition(X_108,complement(X_242)))),top) ),[0,1],$fot(composition(join(X_108,one),complement(X_242)))]]) ).
cnf(refute_0_4785,plain,
( join(X_242,join(complement(X_242),composition(X_108,complement(X_242)))) != top
| join(X_242,composition(join(X_108,one),complement(X_242))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_242),composition(X_108,complement(X_242))),composition(join(X_108,one),complement(X_242))) )],[refute_0_4783,refute_0_4784]) ).
cnf(refute_0_4786,plain,
join(X_242,composition(join(X_108,one),complement(X_242))) = top,
inference(resolve,[$cnf( $equal(join(X_242,join(complement(X_242),composition(X_108,complement(X_242)))),top) )],[refute_0_4780,refute_0_4785]) ).
cnf(refute_0_4787,plain,
join(X_245,composition(join(X_244,one),complement(X_245))) = top,
inference(subst,[],[refute_0_4786:[bind(X_108,$fot(X_244)),bind(X_242,$fot(X_245))]]) ).
cnf(refute_0_4788,plain,
join(one,X_244) = join(X_244,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_244))]]) ).
cnf(refute_0_4789,plain,
( join(one,X_244) != join(X_244,one)
| join(X_244,one) = join(one,X_244) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_244))),bind(Y,$fot(join(X_244,one)))]]) ).
cnf(refute_0_4790,plain,
join(X_244,one) = join(one,X_244),
inference(resolve,[$cnf( $equal(join(one,X_244),join(X_244,one)) )],[refute_0_4788,refute_0_4789]) ).
cnf(refute_0_4791,plain,
( join(X_244,one) != join(one,X_244)
| join(X_245,composition(join(X_244,one),complement(X_245))) != top
| join(X_245,composition(join(one,X_244),complement(X_245))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_245,composition(join(X_244,one),complement(X_245))),top) ),[0,1,0],$fot(join(one,X_244))]]) ).
cnf(refute_0_4792,plain,
( join(X_245,composition(join(X_244,one),complement(X_245))) != top
| join(X_245,composition(join(one,X_244),complement(X_245))) = top ),
inference(resolve,[$cnf( $equal(join(X_244,one),join(one,X_244)) )],[refute_0_4790,refute_0_4791]) ).
cnf(refute_0_4793,plain,
join(X_245,composition(join(one,X_244),complement(X_245))) = top,
inference(resolve,[$cnf( $equal(join(X_245,composition(join(X_244,one),complement(X_245))),top) )],[refute_0_4787,refute_0_4792]) ).
cnf(refute_0_4794,plain,
join(X_245,composition(join(one,composition(join(one,X_247),complement(one))),complement(X_245))) = top,
inference(subst,[],[refute_0_4793:[bind(X_244,$fot(composition(join(one,X_247),complement(one))))]]) ).
cnf(refute_0_4795,plain,
join(one,composition(join(one,X_247),complement(one))) = top,
inference(subst,[],[refute_0_4793:[bind(X_244,$fot(X_247)),bind(X_245,$fot(one))]]) ).
cnf(refute_0_4796,plain,
( join(X_245,composition(join(one,composition(join(one,X_247),complement(one))),complement(X_245))) != top
| join(one,composition(join(one,X_247),complement(one))) != top
| join(X_245,composition(top,complement(X_245))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_245,composition(join(one,composition(join(one,X_247),complement(one))),complement(X_245))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_4797,plain,
( join(X_245,composition(join(one,composition(join(one,X_247),complement(one))),complement(X_245))) != top
| join(X_245,composition(top,complement(X_245))) = top ),
inference(resolve,[$cnf( $equal(join(one,composition(join(one,X_247),complement(one))),top) )],[refute_0_4795,refute_0_4796]) ).
cnf(refute_0_4798,plain,
join(X_245,composition(top,complement(X_245))) = top,
inference(resolve,[$cnf( $equal(join(X_245,composition(join(one,composition(join(one,X_247),complement(one))),complement(X_245))),top) )],[refute_0_4794,refute_0_4797]) ).
cnf(refute_0_4799,plain,
join(complement(X0),composition(top,complement(complement(X0)))) = top,
inference(subst,[],[refute_0_4798:[bind(X_245,$fot(complement(X0)))]]) ).
cnf(refute_0_4800,plain,
( complement(complement(X0)) != X0
| join(complement(X0),composition(top,complement(complement(X0)))) != top
| join(complement(X0),composition(top,X0)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),composition(top,complement(complement(X0)))),top) ),[0,1,1],$fot(X0)]]) ).
cnf(refute_0_4801,plain,
( join(complement(X0),composition(top,complement(complement(X0)))) != top
| join(complement(X0),composition(top,X0)) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_4800]) ).
cnf(refute_0_4802,plain,
join(complement(X0),composition(top,X0)) = top,
inference(resolve,[$cnf( $equal(join(complement(X0),composition(top,complement(complement(X0)))),top) )],[refute_0_4799,refute_0_4801]) ).
cnf(refute_0_4803,plain,
join(complement(X_251),composition(top,X_251)) = top,
inference(subst,[],[refute_0_4802:[bind(X0,$fot(X_251))]]) ).
cnf(refute_0_4804,plain,
( complement(complement(X_251)) != join(complement(join(complement(X_251),composition(top,X_251))),meet(complement(complement(X_251)),composition(top,X_251)))
| join(complement(X_251),composition(top,X_251)) != top
| complement(complement(X_251)) = join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_251)),join(complement(join(complement(X_251),composition(top,X_251))),meet(complement(complement(X_251)),composition(top,X_251)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4805,plain,
( complement(complement(X_251)) != join(complement(join(complement(X_251),composition(top,X_251))),meet(complement(complement(X_251)),composition(top,X_251)))
| complement(complement(X_251)) = join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) ),
inference(resolve,[$cnf( $equal(join(complement(X_251),composition(top,X_251)),top) )],[refute_0_4803,refute_0_4804]) ).
cnf(refute_0_4806,plain,
complement(complement(X_251)) = join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))),
inference(resolve,[$cnf( $equal(complement(complement(X_251)),join(complement(join(complement(X_251),composition(top,X_251))),meet(complement(complement(X_251)),composition(top,X_251)))) )],[refute_0_4776,refute_0_4805]) ).
cnf(refute_0_4807,plain,
complement(complement(X_251)) = X_251,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_251))]]) ).
cnf(refute_0_4808,plain,
( complement(complement(X_251)) != X_251
| complement(complement(X_251)) != join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))
| X_251 = join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_251)),join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))) ),[0],$fot(X_251)]]) ).
cnf(refute_0_4809,plain,
( complement(complement(X_251)) != join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))
| X_251 = join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_251)),X_251) )],[refute_0_4807,refute_0_4808]) ).
cnf(refute_0_4810,plain,
join(zero,meet(X_251,composition(top,X_251))) = meet(X_251,composition(top,X_251)),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(X_251,composition(top,X_251))))]]) ).
cnf(refute_0_4811,plain,
meet(complement(complement(X_251)),composition(top,X_251)) = meet(complement(complement(X_251)),composition(top,X_251)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_251)),composition(top,X_251)))]]) ).
cnf(refute_0_4812,plain,
( complement(complement(X_251)) != X_251
| meet(complement(complement(X_251)),composition(top,X_251)) != meet(complement(complement(X_251)),composition(top,X_251))
| meet(complement(complement(X_251)),composition(top,X_251)) = meet(X_251,composition(top,X_251)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_251)),composition(top,X_251)),meet(complement(complement(X_251)),composition(top,X_251))) ),[1,0],$fot(X_251)]]) ).
cnf(refute_0_4813,plain,
( complement(complement(X_251)) != X_251
| meet(complement(complement(X_251)),composition(top,X_251)) = meet(X_251,composition(top,X_251)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_251)),composition(top,X_251)),meet(complement(complement(X_251)),composition(top,X_251))) )],[refute_0_4811,refute_0_4812]) ).
cnf(refute_0_4814,plain,
meet(complement(complement(X_251)),composition(top,X_251)) = meet(X_251,composition(top,X_251)),
inference(resolve,[$cnf( $equal(complement(complement(X_251)),X_251) )],[refute_0_4807,refute_0_4813]) ).
cnf(refute_0_4815,plain,
join(zero,meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(complement(complement(X_251)),composition(top,X_251))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(X_251)),composition(top,X_251))))]]) ).
cnf(refute_0_4816,plain,
( join(zero,meet(complement(complement(X_251)),composition(top,X_251))) != join(zero,meet(complement(complement(X_251)),composition(top,X_251)))
| meet(complement(complement(X_251)),composition(top,X_251)) != meet(X_251,composition(top,X_251))
| join(zero,meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(X_251,composition(top,X_251))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(X_251)),composition(top,X_251))),join(zero,meet(complement(complement(X_251)),composition(top,X_251)))) ),[1,1],$fot(meet(X_251,composition(top,X_251)))]]) ).
cnf(refute_0_4817,plain,
( meet(complement(complement(X_251)),composition(top,X_251)) != meet(X_251,composition(top,X_251))
| join(zero,meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(X_251,composition(top,X_251))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_251)),composition(top,X_251))),join(zero,meet(complement(complement(X_251)),composition(top,X_251)))) )],[refute_0_4815,refute_0_4816]) ).
cnf(refute_0_4818,plain,
join(zero,meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(X_251,composition(top,X_251))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_251)),composition(top,X_251)),meet(X_251,composition(top,X_251))) )],[refute_0_4814,refute_0_4817]) ).
cnf(refute_0_4819,plain,
join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))))]]) ).
cnf(refute_0_4820,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) != join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))
| join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(complement(complement(X_251)),composition(top,X_251))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))),join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4821,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(complement(complement(X_251)),composition(top,X_251))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))),join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))) )],[refute_0_4819,refute_0_4820]) ).
cnf(refute_0_4822,plain,
join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(complement(complement(X_251)),composition(top,X_251))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4821]) ).
cnf(refute_0_4823,plain,
( join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) != join(zero,meet(complement(complement(X_251)),composition(top,X_251)))
| join(zero,meet(complement(complement(X_251)),composition(top,X_251))) != join(zero,meet(X_251,composition(top,X_251)))
| join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(X_251,composition(top,X_251))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))))),bind(Y,$fot(join(zero,meet(complement(complement(X_251)),composition(top,X_251))))),bind(Z,$fot(join(zero,meet(X_251,composition(top,X_251)))))]]) ).
cnf(refute_0_4824,plain,
( join(zero,meet(complement(complement(X_251)),composition(top,X_251))) != join(zero,meet(X_251,composition(top,X_251)))
| join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(X_251,composition(top,X_251))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))),join(zero,meet(complement(complement(X_251)),composition(top,X_251)))) )],[refute_0_4822,refute_0_4823]) ).
cnf(refute_0_4825,plain,
join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = join(zero,meet(X_251,composition(top,X_251))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_251)),composition(top,X_251))),join(zero,meet(X_251,composition(top,X_251)))) )],[refute_0_4818,refute_0_4824]) ).
cnf(refute_0_4826,plain,
( join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) != join(zero,meet(X_251,composition(top,X_251)))
| join(zero,meet(X_251,composition(top,X_251))) != meet(X_251,composition(top,X_251))
| join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = meet(X_251,composition(top,X_251)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))))),bind(Y,$fot(join(zero,meet(X_251,composition(top,X_251))))),bind(Z,$fot(meet(X_251,composition(top,X_251))))]]) ).
cnf(refute_0_4827,plain,
( join(zero,meet(X_251,composition(top,X_251))) != meet(X_251,composition(top,X_251))
| join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = meet(X_251,composition(top,X_251)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))),join(zero,meet(X_251,composition(top,X_251)))) )],[refute_0_4825,refute_0_4826]) ).
cnf(refute_0_4828,plain,
join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) = meet(X_251,composition(top,X_251)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_251,composition(top,X_251))),meet(X_251,composition(top,X_251))) )],[refute_0_4810,refute_0_4827]) ).
cnf(refute_0_4829,plain,
( X_251 != join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))
| join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))) != meet(X_251,composition(top,X_251))
| X_251 = meet(X_251,composition(top,X_251)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_251,meet(X_251,composition(top,X_251))) ),[0],$fot(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))))]]) ).
cnf(refute_0_4830,plain,
( X_251 != join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))
| X_251 = meet(X_251,composition(top,X_251)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_251)),composition(top,X_251))),meet(X_251,composition(top,X_251))) )],[refute_0_4828,refute_0_4829]) ).
cnf(refute_0_4831,plain,
( complement(complement(X_251)) != join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))
| X_251 = meet(X_251,composition(top,X_251)) ),
inference(resolve,[$cnf( $equal(X_251,join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))) )],[refute_0_4809,refute_0_4830]) ).
cnf(refute_0_4832,plain,
X_251 = meet(X_251,composition(top,X_251)),
inference(resolve,[$cnf( $equal(complement(complement(X_251)),join(complement(top),meet(complement(complement(X_251)),composition(top,X_251)))) )],[refute_0_4806,refute_0_4831]) ).
cnf(refute_0_4833,plain,
X_44 = meet(X_44,composition(top,X_44)),
inference(subst,[],[refute_0_4832:[bind(X_251,$fot(X_44))]]) ).
cnf(refute_0_4834,plain,
( X_44 != meet(X_44,composition(top,X_44))
| meet(X_44,composition(top,X_44)) = X_44 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_44)),bind(Y,$fot(meet(X_44,composition(top,X_44))))]]) ).
cnf(refute_0_4835,plain,
meet(X_44,composition(top,X_44)) = X_44,
inference(resolve,[$cnf( $equal(X_44,meet(X_44,composition(top,X_44))) )],[refute_0_4833,refute_0_4834]) ).
cnf(refute_0_4836,plain,
( X_44 != join(meet(X_44,composition(top,X_44)),meet(complement(composition(top,X_44)),X_44))
| meet(X_44,composition(top,X_44)) != X_44
| X_44 = join(X_44,meet(complement(composition(top,X_44)),X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(X_44,join(meet(X_44,composition(top,X_44)),meet(complement(composition(top,X_44)),X_44))) ),[1,0],$fot(X_44)]]) ).
cnf(refute_0_4837,plain,
( X_44 != join(meet(X_44,composition(top,X_44)),meet(complement(composition(top,X_44)),X_44))
| X_44 = join(X_44,meet(complement(composition(top,X_44)),X_44)) ),
inference(resolve,[$cnf( $equal(meet(X_44,composition(top,X_44)),X_44) )],[refute_0_4835,refute_0_4836]) ).
cnf(refute_0_4838,plain,
X_44 = join(X_44,meet(complement(composition(top,X_44)),X_44)),
inference(resolve,[$cnf( $equal(X_44,join(meet(X_44,composition(top,X_44)),meet(complement(composition(top,X_44)),X_44))) )],[refute_0_4775,refute_0_4837]) ).
cnf(refute_0_4839,plain,
meet(complement(composition(top,X_44)),X_44) = meet(X_44,complement(composition(top,X_44))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(X_44)),bind(X_25,$fot(complement(composition(top,X_44))))]]) ).
cnf(refute_0_4840,plain,
join(X_44,meet(complement(composition(top,X_44)),X_44)) = join(X_44,meet(complement(composition(top,X_44)),X_44)),
introduced(tautology,[refl,[$fot(join(X_44,meet(complement(composition(top,X_44)),X_44)))]]) ).
cnf(refute_0_4841,plain,
( join(X_44,meet(complement(composition(top,X_44)),X_44)) != join(X_44,meet(complement(composition(top,X_44)),X_44))
| meet(complement(composition(top,X_44)),X_44) != meet(X_44,complement(composition(top,X_44)))
| join(X_44,meet(complement(composition(top,X_44)),X_44)) = join(X_44,meet(X_44,complement(composition(top,X_44)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,meet(complement(composition(top,X_44)),X_44)),join(X_44,meet(complement(composition(top,X_44)),X_44))) ),[1,1],$fot(meet(X_44,complement(composition(top,X_44))))]]) ).
cnf(refute_0_4842,plain,
( meet(complement(composition(top,X_44)),X_44) != meet(X_44,complement(composition(top,X_44)))
| join(X_44,meet(complement(composition(top,X_44)),X_44)) = join(X_44,meet(X_44,complement(composition(top,X_44)))) ),
inference(resolve,[$cnf( $equal(join(X_44,meet(complement(composition(top,X_44)),X_44)),join(X_44,meet(complement(composition(top,X_44)),X_44))) )],[refute_0_4840,refute_0_4841]) ).
cnf(refute_0_4843,plain,
join(X_44,meet(complement(composition(top,X_44)),X_44)) = join(X_44,meet(X_44,complement(composition(top,X_44)))),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,X_44)),X_44),meet(X_44,complement(composition(top,X_44)))) )],[refute_0_4839,refute_0_4842]) ).
cnf(refute_0_4844,plain,
( X_44 != join(X_44,meet(complement(composition(top,X_44)),X_44))
| join(X_44,meet(complement(composition(top,X_44)),X_44)) != join(X_44,meet(X_44,complement(composition(top,X_44))))
| X_44 = join(X_44,meet(X_44,complement(composition(top,X_44)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_44,join(X_44,meet(X_44,complement(composition(top,X_44))))) ),[0],$fot(join(X_44,meet(complement(composition(top,X_44)),X_44)))]]) ).
cnf(refute_0_4845,plain,
( X_44 != join(X_44,meet(complement(composition(top,X_44)),X_44))
| X_44 = join(X_44,meet(X_44,complement(composition(top,X_44)))) ),
inference(resolve,[$cnf( $equal(join(X_44,meet(complement(composition(top,X_44)),X_44)),join(X_44,meet(X_44,complement(composition(top,X_44))))) )],[refute_0_4843,refute_0_4844]) ).
cnf(refute_0_4846,plain,
X_44 = join(X_44,meet(X_44,complement(composition(top,X_44)))),
inference(resolve,[$cnf( $equal(X_44,join(X_44,meet(complement(composition(top,X_44)),X_44))) )],[refute_0_4838,refute_0_4845]) ).
cnf(refute_0_4847,plain,
one = join(one,meet(one,complement(composition(top,one)))),
inference(subst,[],[refute_0_4846:[bind(X_44,$fot(one))]]) ).
cnf(refute_0_4848,plain,
( one != join(one,meet(one,complement(composition(top,one))))
| join(one,meet(one,complement(composition(top,one)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,complement(composition(top,one))))))]]) ).
cnf(refute_0_4849,plain,
join(one,meet(one,complement(composition(top,one)))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,complement(composition(top,one))))) )],[refute_0_4847,refute_0_4848]) ).
cnf(refute_0_4850,plain,
( join(one,meet(one,complement(composition(top,one)))) != one
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(X_408,join(one,meet(one,complement(composition(top,one))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_408,one)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(X_408,join(one,meet(one,complement(composition(top,one))))))) ),[1,1,1],$fot(one)]]) ).
cnf(refute_0_4851,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(X_408,join(one,meet(one,complement(composition(top,one))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_408,one)) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(composition(top,one)))),one) )],[refute_0_4849,refute_0_4850]) ).
cnf(refute_0_4852,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_408,one)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(X_408,join(one,meet(one,complement(composition(top,one))))))) )],[refute_0_4774,refute_0_4851]) ).
cnf(refute_0_4853,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(X_411,one)),
inference(subst,[],[refute_0_4852:[bind(X_408,$fot(X_411))]]) ).
cnf(refute_0_4854,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(X_411,one))
| meet(skolemFOFtoCNF_X0,join(X_411,one)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,join(X_411,one))))]]) ).
cnf(refute_0_4855,plain,
meet(skolemFOFtoCNF_X0,join(X_411,one)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(X_411,one))) )],[refute_0_4853,refute_0_4854]) ).
cnf(refute_0_4856,plain,
( join(X_411,one) != join(meet(skolemFOFtoCNF_X0,join(X_411,one)),meet(complement(skolemFOFtoCNF_X0),join(X_411,one)))
| meet(skolemFOFtoCNF_X0,join(X_411,one)) != skolemFOFtoCNF_X0
| join(X_411,one) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_411,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_411,one),join(meet(skolemFOFtoCNF_X0,join(X_411,one)),meet(complement(skolemFOFtoCNF_X0),join(X_411,one)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_4857,plain,
( join(X_411,one) != join(meet(skolemFOFtoCNF_X0,join(X_411,one)),meet(complement(skolemFOFtoCNF_X0),join(X_411,one)))
| join(X_411,one) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_411,one))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(X_411,one)),skolemFOFtoCNF_X0) )],[refute_0_4855,refute_0_4856]) ).
cnf(refute_0_4858,plain,
join(X_411,one) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_411,one))),
inference(resolve,[$cnf( $equal(join(X_411,one),join(meet(skolemFOFtoCNF_X0,join(X_411,one)),meet(complement(skolemFOFtoCNF_X0),join(X_411,one)))) )],[refute_0_4773,refute_0_4857]) ).
cnf(refute_0_4859,plain,
join(join(X0,X1),one) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))),
inference(subst,[],[refute_0_4858:[bind(X_411,$fot(join(X0,X1)))]]) ).
cnf(refute_0_4860,plain,
join(X0,join(X1,one)) = join(join(X0,X1),one),
inference(subst,[],[refute_0_46:[bind(X2,$fot(one))]]) ).
cnf(refute_0_4861,plain,
( join(X0,join(X1,one)) != join(join(X0,X1),one)
| join(join(X0,X1),one) = join(X0,join(X1,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,one)))),bind(Y,$fot(join(join(X0,X1),one)))]]) ).
cnf(refute_0_4862,plain,
join(join(X0,X1),one) = join(X0,join(X1,one)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,one)),join(join(X0,X1),one)) )],[refute_0_4860,refute_0_4861]) ).
cnf(refute_0_4863,plain,
( join(join(X0,X1),one) != join(X0,join(X1,one))
| join(join(X0,X1),one) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))
| join(X0,join(X1,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X0,X1),one),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))) ),[0],$fot(join(X0,join(X1,one)))]]) ).
cnf(refute_0_4864,plain,
( join(join(X0,X1),one) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))
| join(X0,join(X1,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),one),join(X0,join(X1,one))) )],[refute_0_4862,refute_0_4863]) ).
cnf(refute_0_4865,plain,
join(X0,join(X1,one)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),one),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))) )],[refute_0_4859,refute_0_4864]) ).
cnf(refute_0_4866,plain,
join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(X_298,converse(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_852:[bind(X_179,$fot(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))),bind(X_181,$fot(X_298))]]) ).
cnf(refute_0_4867,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4868,plain,
complement(one) = join(complement(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4869,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4870,plain,
complement(one) = join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),bind(X_44,$fot(complement(one)))]]) ).
cnf(refute_0_4871,plain,
complement(one) = join(complement(join(one,join(X_90,skolemFOFtoCNF_X0))),meet(complement(one),join(X_90,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(join(X_90,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4872,plain,
join(X_90,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,X_90),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_90)),bind(X1,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4873,plain,
( join(X_90,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,X_90)
| join(skolemFOFtoCNF_X0,X_90) = join(X_90,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_90,skolemFOFtoCNF_X0))),bind(Y,$fot(join(skolemFOFtoCNF_X0,X_90)))]]) ).
cnf(refute_0_4874,plain,
join(skolemFOFtoCNF_X0,X_90) = join(X_90,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(X_90,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,X_90)) )],[refute_0_4872,refute_0_4873]) ).
cnf(refute_0_4875,plain,
( join(one,join(skolemFOFtoCNF_X0,X_90)) != join(one,X_90)
| join(skolemFOFtoCNF_X0,X_90) != join(X_90,skolemFOFtoCNF_X0)
| join(one,join(X_90,skolemFOFtoCNF_X0)) = join(one,X_90) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_90)),join(one,X_90)) ),[0,1],$fot(join(X_90,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4876,plain,
( join(one,join(skolemFOFtoCNF_X0,X_90)) != join(one,X_90)
| join(one,join(X_90,skolemFOFtoCNF_X0)) = join(one,X_90) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,X_90),join(X_90,skolemFOFtoCNF_X0)) )],[refute_0_4874,refute_0_4875]) ).
cnf(refute_0_4877,plain,
join(one,join(X_90,skolemFOFtoCNF_X0)) = join(one,X_90),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,X_90)),join(one,X_90)) )],[refute_0_2585,refute_0_4876]) ).
cnf(refute_0_4878,plain,
( complement(one) != join(complement(join(one,join(X_90,skolemFOFtoCNF_X0))),meet(complement(one),join(X_90,skolemFOFtoCNF_X0)))
| join(one,join(X_90,skolemFOFtoCNF_X0)) != join(one,X_90)
| complement(one) = join(complement(join(one,X_90)),meet(complement(one),join(X_90,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,join(X_90,skolemFOFtoCNF_X0))),meet(complement(one),join(X_90,skolemFOFtoCNF_X0)))) ),[1,0,0],$fot(join(one,X_90))]]) ).
cnf(refute_0_4879,plain,
( complement(one) != join(complement(join(one,join(X_90,skolemFOFtoCNF_X0))),meet(complement(one),join(X_90,skolemFOFtoCNF_X0)))
| complement(one) = join(complement(join(one,X_90)),meet(complement(one),join(X_90,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_90,skolemFOFtoCNF_X0)),join(one,X_90)) )],[refute_0_4877,refute_0_4878]) ).
cnf(refute_0_4880,plain,
complement(one) = join(complement(join(one,X_90)),meet(complement(one),join(X_90,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,join(X_90,skolemFOFtoCNF_X0))),meet(complement(one),join(X_90,skolemFOFtoCNF_X0)))) )],[refute_0_4871,refute_0_4879]) ).
cnf(refute_0_4881,plain,
complement(one) = join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4880:[bind(X_90,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4882,plain,
( complement(one) != join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| complement(one) = join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_4883,plain,
( complement(one) != join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| complement(one) = join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_3216,refute_0_4882]) ).
cnf(refute_0_4884,plain,
complement(one) = join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_4881,refute_0_4883]) ).
cnf(refute_0_4885,plain,
join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4886,plain,
join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4887,plain,
meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4888,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4889,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) )],[refute_0_4887,refute_0_4888]) ).
cnf(refute_0_4890,plain,
meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_4886,refute_0_4889]) ).
cnf(refute_0_4891,plain,
join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4892,plain,
( join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4893,plain,
( meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_4891,refute_0_4892]) ).
cnf(refute_0_4894,plain,
join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)),meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4890,refute_0_4893]) ).
cnf(refute_0_4895,plain,
join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4896,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_4897,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_4895,refute_0_4896]) ).
cnf(refute_0_4898,plain,
join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_4897]) ).
cnf(refute_0_4899,plain,
( join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4900,plain,
( join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_4898,refute_0_4899]) ).
cnf(refute_0_4901,plain,
join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4894,refute_0_4900]) ).
cnf(refute_0_4902,plain,
( join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4903,plain,
( join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4901,refute_0_4902]) ).
cnf(refute_0_4904,plain,
join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4885,refute_0_4903]) ).
cnf(refute_0_4905,plain,
( complement(one) != join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4906,plain,
( complement(one) != join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0))),meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4904,refute_0_4905]) ).
cnf(refute_0_4907,plain,
complement(one) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),join(complement(converse(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0)))) )],[refute_0_4884,refute_0_4906]) ).
cnf(refute_0_4908,plain,
( complement(one) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4909,plain,
meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_4907,refute_0_4908]) ).
cnf(refute_0_4910,plain,
( complement(one) != join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))
| meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != complement(one)
| complement(one) = join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_4911,plain,
( complement(one) != join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))
| complement(one) = join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_4909,refute_0_4910]) ).
cnf(refute_0_4912,plain,
complement(one) = join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))) )],[refute_0_4870,refute_0_4911]) ).
cnf(refute_0_4913,plain,
complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_27,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_4914,plain,
meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4915,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_4916,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4914,refute_0_4915]) ).
cnf(refute_0_4917,plain,
meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_4913,refute_0_4916]) ).
cnf(refute_0_4918,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) = meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(complement(one))),bind(X_25,$fot(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4919,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) != meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))),bind(Y,$fot(meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4920,plain,
( meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)),meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4918,refute_0_4919]) ).
cnf(refute_0_4921,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_4917,refute_0_4920]) ).
cnf(refute_0_4922,plain,
join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) = join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))))]]) ).
cnf(refute_0_4923,plain,
( join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) != join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))
| meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) = join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))),join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))) ),[1,1],$fot(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_4924,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) = join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))),join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))) )],[refute_0_4922,refute_0_4923]) ).
cnf(refute_0_4925,plain,
join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) = join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_4921,refute_0_4924]) ).
cnf(refute_0_4926,plain,
( complement(one) != join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))
| join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))) != join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| complement(one) = join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))))]]) ).
cnf(refute_0_4927,plain,
( complement(one) != join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))
| complement(one) = join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one))),join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_4925,refute_0_4926]) ).
cnf(refute_0_4928,plain,
complement(one) = join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))) )],[refute_0_4912,refute_0_4927]) ).
cnf(refute_0_4929,plain,
( complement(one) != join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4930,plain,
join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_4928,refute_0_4929]) ).
cnf(refute_0_4931,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(one)
| complement(complement(one)) = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(complement(one))]]) ).
cnf(refute_0_4932,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| complement(complement(one)) = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_4930,refute_0_4931]) ).
cnf(refute_0_4933,plain,
complement(complement(one)) = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4869,refute_0_4932]) ).
cnf(refute_0_4934,plain,
( complement(complement(one)) != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| complement(complement(one)) != one
| one = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_4935,plain,
( complement(complement(one)) != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| one = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4934]) ).
cnf(refute_0_4936,plain,
meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4937,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4938,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_4936,refute_0_4937]) ).
cnf(refute_0_4939,plain,
meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4938]) ).
cnf(refute_0_4940,plain,
join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4941,plain,
( join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_4942,plain,
( meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4940,refute_0_4941]) ).
cnf(refute_0_4943,plain,
join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_4939,refute_0_4942]) ).
cnf(refute_0_4944,plain,
join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4945,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4946,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4944,refute_0_4945]) ).
cnf(refute_0_4947,plain,
join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4946]) ).
cnf(refute_0_4948,plain,
( join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4949,plain,
( join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4947,refute_0_4948]) ).
cnf(refute_0_4950,plain,
join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4943,refute_0_4949]) ).
cnf(refute_0_4951,plain,
( join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| one != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| one = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_4952,plain,
( one != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| one = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4950,refute_0_4951]) ).
cnf(refute_0_4953,plain,
( complement(complement(one)) != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| one = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4935,refute_0_4952]) ).
cnf(refute_0_4954,plain,
one = join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4933,refute_0_4953]) ).
cnf(refute_0_4955,plain,
( one != join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4956,plain,
join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_4954,refute_0_4955]) ).
cnf(refute_0_4957,plain,
( complement(one) != join(complement(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != one
| complement(one) = join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_4958,plain,
( complement(one) != join(complement(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| complement(one) = join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_4956,refute_0_4957]) ).
cnf(refute_0_4959,plain,
complement(one) = join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4868,refute_0_4958]) ).
cnf(refute_0_4960,plain,
( complement(one) != join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4961,plain,
join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4959,refute_0_4960]) ).
cnf(refute_0_4962,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != complement(one)
| complement(complement(one)) = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(complement(one))]]) ).
cnf(refute_0_4963,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| complement(complement(one)) = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),complement(one)) )],[refute_0_4961,refute_0_4962]) ).
cnf(refute_0_4964,plain,
complement(complement(one)) = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4867,refute_0_4963]) ).
cnf(refute_0_4965,plain,
( complement(complement(one)) != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| complement(complement(one)) != one
| one = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_4966,plain,
( complement(complement(one)) != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| one = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4965]) ).
cnf(refute_0_4967,plain,
meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4968,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4969,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4967,refute_0_4968]) ).
cnf(refute_0_4970,plain,
meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4969]) ).
cnf(refute_0_4971,plain,
join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4972,plain,
( join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_4973,plain,
( meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4971,refute_0_4972]) ).
cnf(refute_0_4974,plain,
join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_4970,refute_0_4973]) ).
cnf(refute_0_4975,plain,
join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4976,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_4977,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4975,refute_0_4976]) ).
cnf(refute_0_4978,plain,
join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_4977]) ).
cnf(refute_0_4979,plain,
( join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4980,plain,
( join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4978,refute_0_4979]) ).
cnf(refute_0_4981,plain,
join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(one,meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4974,refute_0_4980]) ).
cnf(refute_0_4982,plain,
( join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| one != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| one = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_4983,plain,
( one != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| one = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4981,refute_0_4982]) ).
cnf(refute_0_4984,plain,
( complement(complement(one)) != join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| one = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4966,refute_0_4983]) ).
cnf(refute_0_4985,plain,
one = join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(complement(one)),meet(complement(complement(one)),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4964,refute_0_4984]) ).
cnf(refute_0_4986,plain,
( one != join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_4987,plain,
join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_4985,refute_0_4986]) ).
cnf(refute_0_4988,plain,
( join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) != join(X_298,converse(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))))
| join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != one
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(X_298,converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(X_298,converse(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_4989,plain,
( join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) != join(X_298,converse(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))))
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(X_298,converse(one)) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_4987,refute_0_4988]) ).
cnf(refute_0_4990,plain,
join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(X_298,converse(one)),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(X_298,converse(join(one,meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_4866,refute_0_4989]) ).
cnf(refute_0_4991,plain,
( join(X_298,converse(one)) != join(X_298,one)
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) != join(X_298,converse(one))
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(X_298,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(X_298,converse(one))) ),[1],$fot(join(X_298,one))]]) ).
cnf(refute_0_4992,plain,
( join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) != join(X_298,converse(one))
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(X_298,one) ),
inference(resolve,[$cnf( $equal(join(X_298,converse(one)),join(X_298,one)) )],[refute_0_912,refute_0_4991]) ).
cnf(refute_0_4993,plain,
join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(X_298,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(X_298,converse(one))) )],[refute_0_4990,refute_0_4992]) ).
cnf(refute_0_4994,plain,
join(zero,X_298) = X_298,
inference(subst,[],[refute_0_178:[bind(X_31,$fot(X_298))]]) ).
cnf(refute_0_4995,plain,
meet(one,zero) = zero,
inference(subst,[],[refute_0_3405:[bind(X_56,$fot(one))]]) ).
cnf(refute_0_4996,plain,
complement(join(one,X_7)) = meet(complement(join(one,X_7)),converse(join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7))))),
inference(subst,[],[refute_0_3999:[bind(X1,$fot(meet(complement(one),converse(X_7)))),bind(X_213,$fot(join(one,X_7)))]]) ).
cnf(refute_0_4997,plain,
( complement(one) != join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7)))
| join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7)))))]]) ).
cnf(refute_0_4998,plain,
join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7)))) )],[refute_0_3488,refute_0_4997]) ).
cnf(refute_0_4999,plain,
( complement(join(one,X_7)) != meet(complement(join(one,X_7)),converse(join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7)))))
| join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7))) != complement(one)
| complement(join(one,X_7)) = meet(complement(join(one,X_7)),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,X_7)),meet(complement(join(one,X_7)),converse(join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7)))))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_5000,plain,
( complement(join(one,X_7)) != meet(complement(join(one,X_7)),converse(join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7)))))
| complement(join(one,X_7)) = meet(complement(join(one,X_7)),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7))),complement(one)) )],[refute_0_4998,refute_0_4999]) ).
cnf(refute_0_5001,plain,
complement(join(one,X_7)) = meet(complement(join(one,X_7)),converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(join(one,X_7)),meet(complement(join(one,X_7)),converse(join(complement(converse(join(one,X_7))),meet(complement(one),converse(X_7)))))) )],[refute_0_4996,refute_0_5000]) ).
cnf(refute_0_5002,plain,
meet(complement(join(one,X_7)),converse(complement(one))) = meet(converse(complement(one)),complement(join(one,X_7))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(complement(one)))),bind(X_25,$fot(complement(join(one,X_7))))]]) ).
cnf(refute_0_5003,plain,
( complement(join(one,X_7)) != meet(complement(join(one,X_7)),converse(complement(one)))
| meet(complement(join(one,X_7)),converse(complement(one))) != meet(converse(complement(one)),complement(join(one,X_7)))
| complement(join(one,X_7)) = meet(converse(complement(one)),complement(join(one,X_7))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(one,X_7)),meet(converse(complement(one)),complement(join(one,X_7)))) ),[0],$fot(meet(complement(join(one,X_7)),converse(complement(one))))]]) ).
cnf(refute_0_5004,plain,
( complement(join(one,X_7)) != meet(complement(join(one,X_7)),converse(complement(one)))
| complement(join(one,X_7)) = meet(converse(complement(one)),complement(join(one,X_7))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,X_7)),converse(complement(one))),meet(converse(complement(one)),complement(join(one,X_7)))) )],[refute_0_5002,refute_0_5003]) ).
cnf(refute_0_5005,plain,
complement(join(one,X_7)) = meet(converse(complement(one)),complement(join(one,X_7))),
inference(resolve,[$cnf( $equal(complement(join(one,X_7)),meet(complement(join(one,X_7)),converse(complement(one)))) )],[refute_0_5001,refute_0_5004]) ).
cnf(refute_0_5006,plain,
complement(join(one,X_275)) = meet(converse(complement(one)),complement(join(one,X_275))),
inference(subst,[],[refute_0_5005:[bind(X_7,$fot(X_275))]]) ).
cnf(refute_0_5007,plain,
join(X_275,one) = join(one,X_275),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_275)),bind(X1,$fot(one))]]) ).
cnf(refute_0_5008,plain,
( join(X_275,one) != join(one,X_275)
| join(one,X_275) = join(X_275,one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_275,one))),bind(Y,$fot(join(one,X_275)))]]) ).
cnf(refute_0_5009,plain,
join(one,X_275) = join(X_275,one),
inference(resolve,[$cnf( $equal(join(X_275,one),join(one,X_275)) )],[refute_0_5007,refute_0_5008]) ).
cnf(refute_0_5010,plain,
( complement(join(one,X_275)) != meet(converse(complement(one)),complement(join(one,X_275)))
| join(one,X_275) != join(X_275,one)
| complement(join(X_275,one)) = meet(converse(complement(one)),complement(join(one,X_275))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,X_275)),meet(converse(complement(one)),complement(join(one,X_275)))) ),[0,0],$fot(join(X_275,one))]]) ).
cnf(refute_0_5011,plain,
( complement(join(one,X_275)) != meet(converse(complement(one)),complement(join(one,X_275)))
| complement(join(X_275,one)) = meet(converse(complement(one)),complement(join(one,X_275))) ),
inference(resolve,[$cnf( $equal(join(one,X_275),join(X_275,one)) )],[refute_0_5009,refute_0_5010]) ).
cnf(refute_0_5012,plain,
complement(join(X_275,one)) = meet(converse(complement(one)),complement(join(one,X_275))),
inference(resolve,[$cnf( $equal(complement(join(one,X_275)),meet(converse(complement(one)),complement(join(one,X_275)))) )],[refute_0_5006,refute_0_5011]) ).
cnf(refute_0_5013,plain,
( complement(join(one,X_7)) != meet(converse(complement(one)),complement(join(one,X_7)))
| meet(converse(complement(one)),complement(join(one,X_7))) = complement(join(one,X_7)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(join(one,X_7)))),bind(Y,$fot(meet(converse(complement(one)),complement(join(one,X_7)))))]]) ).
cnf(refute_0_5014,plain,
meet(converse(complement(one)),complement(join(one,X_7))) = complement(join(one,X_7)),
inference(resolve,[$cnf( $equal(complement(join(one,X_7)),meet(converse(complement(one)),complement(join(one,X_7)))) )],[refute_0_5005,refute_0_5013]) ).
cnf(refute_0_5015,plain,
meet(converse(complement(one)),complement(join(one,X_275))) = complement(join(one,X_275)),
inference(subst,[],[refute_0_5014:[bind(X_7,$fot(X_275))]]) ).
cnf(refute_0_5016,plain,
( complement(join(X_275,one)) != meet(converse(complement(one)),complement(join(one,X_275)))
| meet(converse(complement(one)),complement(join(one,X_275))) != complement(join(one,X_275))
| complement(join(X_275,one)) = complement(join(one,X_275)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(X_275,one)),complement(join(one,X_275))) ),[0],$fot(meet(converse(complement(one)),complement(join(one,X_275))))]]) ).
cnf(refute_0_5017,plain,
( complement(join(X_275,one)) != meet(converse(complement(one)),complement(join(one,X_275)))
| complement(join(X_275,one)) = complement(join(one,X_275)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(join(one,X_275))),complement(join(one,X_275))) )],[refute_0_5015,refute_0_5016]) ).
cnf(refute_0_5018,plain,
complement(join(X_275,one)) = complement(join(one,X_275)),
inference(resolve,[$cnf( $equal(complement(join(X_275,one)),meet(converse(complement(one)),complement(join(one,X_275)))) )],[refute_0_5012,refute_0_5017]) ).
cnf(refute_0_5019,plain,
complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5018:[bind(X_275,$fot(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5020,plain,
join(one,join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = top,
inference(subst,[],[refute_0_4779:[bind(X_63,$fot(one)),bind(X_65,$fot(meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5021,plain,
complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),bind(X_32,$fot(meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5022,plain,
one = join(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),bind(X_44,$fot(one))]]) ).
cnf(refute_0_5023,plain,
complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_3999:[bind(X1,$fot(meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_213,$fot(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5024,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5025,plain,
converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_5026,plain,
complement(one) = join(complement(converse(join(one,join(X_65,complement(one))))),meet(complement(one),converse(join(X_65,complement(one))))),
inference(subst,[],[refute_0_3488:[bind(X_7,$fot(join(X_65,complement(one))))]]) ).
cnf(refute_0_5027,plain,
join(one,join(X_65,complement(one))) = top,
inference(subst,[],[refute_0_3457:[bind(X_31,$fot(one))]]) ).
cnf(refute_0_5028,plain,
( complement(one) != join(complement(converse(join(one,join(X_65,complement(one))))),meet(complement(one),converse(join(X_65,complement(one)))))
| join(one,join(X_65,complement(one))) != top
| complement(one) = join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(converse(join(one,join(X_65,complement(one))))),meet(complement(one),converse(join(X_65,complement(one)))))) ),[1,0,0,0],$fot(top)]]) ).
cnf(refute_0_5029,plain,
( complement(one) != join(complement(converse(join(one,join(X_65,complement(one))))),meet(complement(one),converse(join(X_65,complement(one)))))
| complement(one) = join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_65,complement(one))),top) )],[refute_0_5027,refute_0_5028]) ).
cnf(refute_0_5030,plain,
complement(one) = join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(join(one,join(X_65,complement(one))))),meet(complement(one),converse(join(X_65,complement(one)))))) )],[refute_0_5026,refute_0_5029]) ).
cnf(refute_0_5031,plain,
join(zero,meet(complement(one),converse(join(X_65,complement(one))))) = meet(complement(one),converse(join(X_65,complement(one)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),converse(join(X_65,complement(one))))))]]) ).
cnf(refute_0_5032,plain,
join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) = join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))))]]) ).
cnf(refute_0_5033,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) != join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one)))))
| join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) = join(zero,meet(complement(one),converse(join(X_65,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))),join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5034,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) = join(zero,meet(complement(one),converse(join(X_65,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))),join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one)))))) )],[refute_0_5032,refute_0_5033]) ).
cnf(refute_0_5035,plain,
join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) = join(zero,meet(complement(one),converse(join(X_65,complement(one))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_5034]) ).
cnf(refute_0_5036,plain,
( join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) != join(zero,meet(complement(one),converse(join(X_65,complement(one)))))
| join(zero,meet(complement(one),converse(join(X_65,complement(one))))) != meet(complement(one),converse(join(X_65,complement(one))))
| join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) = meet(complement(one),converse(join(X_65,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))))),bind(Y,$fot(join(zero,meet(complement(one),converse(join(X_65,complement(one))))))),bind(Z,$fot(meet(complement(one),converse(join(X_65,complement(one))))))]]) ).
cnf(refute_0_5037,plain,
( join(zero,meet(complement(one),converse(join(X_65,complement(one))))) != meet(complement(one),converse(join(X_65,complement(one))))
| join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) = meet(complement(one),converse(join(X_65,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))),join(zero,meet(complement(one),converse(join(X_65,complement(one)))))) )],[refute_0_5035,refute_0_5036]) ).
cnf(refute_0_5038,plain,
join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) = meet(complement(one),converse(join(X_65,complement(one)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),converse(join(X_65,complement(one))))),meet(complement(one),converse(join(X_65,complement(one))))) )],[refute_0_5031,refute_0_5037]) ).
cnf(refute_0_5039,plain,
( complement(one) != join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one)))))
| join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))) != meet(complement(one),converse(join(X_65,complement(one))))
| complement(one) = meet(complement(one),converse(join(X_65,complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),converse(join(X_65,complement(one))))) ),[0],$fot(join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))))]]) ).
cnf(refute_0_5040,plain,
( complement(one) != join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one)))))
| complement(one) = meet(complement(one),converse(join(X_65,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one))))),meet(complement(one),converse(join(X_65,complement(one))))) )],[refute_0_5038,refute_0_5039]) ).
cnf(refute_0_5041,plain,
complement(one) = meet(complement(one),converse(join(X_65,complement(one)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(top)),meet(complement(one),converse(join(X_65,complement(one)))))) )],[refute_0_5030,refute_0_5040]) ).
cnf(refute_0_5042,plain,
complement(one) = meet(complement(one),converse(join(X_225,complement(one)))),
inference(subst,[],[refute_0_5041:[bind(X_65,$fot(X_225))]]) ).
cnf(refute_0_5043,plain,
join(complement(one),X_225) = join(X_225,complement(one)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(complement(one))),bind(X1,$fot(X_225))]]) ).
cnf(refute_0_5044,plain,
( join(complement(one),X_225) != join(X_225,complement(one))
| join(X_225,complement(one)) = join(complement(one),X_225) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(one),X_225))),bind(Y,$fot(join(X_225,complement(one))))]]) ).
cnf(refute_0_5045,plain,
join(X_225,complement(one)) = join(complement(one),X_225),
inference(resolve,[$cnf( $equal(join(complement(one),X_225),join(X_225,complement(one))) )],[refute_0_5043,refute_0_5044]) ).
cnf(refute_0_5046,plain,
( complement(one) != meet(complement(one),converse(join(X_225,complement(one))))
| join(X_225,complement(one)) != join(complement(one),X_225)
| complement(one) = meet(complement(one),converse(join(complement(one),X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),converse(join(X_225,complement(one))))) ),[1,1,0],$fot(join(complement(one),X_225))]]) ).
cnf(refute_0_5047,plain,
( complement(one) != meet(complement(one),converse(join(X_225,complement(one))))
| complement(one) = meet(complement(one),converse(join(complement(one),X_225))) ),
inference(resolve,[$cnf( $equal(join(X_225,complement(one)),join(complement(one),X_225)) )],[refute_0_5045,refute_0_5046]) ).
cnf(refute_0_5048,plain,
complement(one) = meet(complement(one),converse(join(complement(one),X_225))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(join(X_225,complement(one))))) )],[refute_0_5042,refute_0_5047]) ).
cnf(refute_0_5049,plain,
complement(one) = meet(complement(one),converse(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5048:[bind(X_225,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5050,plain,
join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_5051,plain,
( join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != complement(one)
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5052,plain,
( join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_4909,refute_0_5051]) ).
cnf(refute_0_5053,plain,
join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5050,refute_0_5052]) ).
cnf(refute_0_5054,plain,
meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5055,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5056,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5054,refute_0_5055]) ).
cnf(refute_0_5057,plain,
meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5056]) ).
cnf(refute_0_5058,plain,
join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5059,plain,
( join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5060,plain,
( meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5058,refute_0_5059]) ).
cnf(refute_0_5061,plain,
join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5057,refute_0_5060]) ).
cnf(refute_0_5062,plain,
( join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5063,plain,
( join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5061,refute_0_5062]) ).
cnf(refute_0_5064,plain,
join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5053,refute_0_5063]) ).
cnf(refute_0_5065,plain,
( join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5066,plain,
join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5064,refute_0_5065]) ).
cnf(refute_0_5067,plain,
( complement(one) != meet(complement(one),converse(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),converse(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1,0],$fot(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5068,plain,
( complement(one) != meet(complement(one),converse(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(one) = meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_5066,refute_0_5067]) ).
cnf(refute_0_5069,plain,
complement(one) = meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5049,refute_0_5068]) ).
cnf(refute_0_5070,plain,
( complement(one) != meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5071,plain,
meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5069,refute_0_5070]) ).
cnf(refute_0_5072,plain,
( converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != complement(one)
| converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5073,plain,
( converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),complement(one)) )],[refute_0_5071,refute_0_5072]) ).
cnf(refute_0_5074,plain,
converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(meet(complement(one),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5025,refute_0_5073]) ).
cnf(refute_0_5075,plain,
meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5076,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5077,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5075,refute_0_5076]) ).
cnf(refute_0_5078,plain,
meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5077]) ).
cnf(refute_0_5079,plain,
join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5080,plain,
( join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5081,plain,
( meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5079,refute_0_5080]) ).
cnf(refute_0_5082,plain,
join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5078,refute_0_5081]) ).
cnf(refute_0_5083,plain,
( converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5084,plain,
( converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5082,refute_0_5083]) ).
cnf(refute_0_5085,plain,
converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(one)),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5074,refute_0_5084]) ).
cnf(refute_0_5086,plain,
( converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5087,plain,
join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5085,refute_0_5086]) ).
cnf(refute_0_5088,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| complement(complement(one)) = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5089,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(complement(one)) = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_5087,refute_0_5088]) ).
cnf(refute_0_5090,plain,
complement(complement(one)) = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5024,refute_0_5089]) ).
cnf(refute_0_5091,plain,
( complement(complement(one)) != join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(complement(one)) != one
| one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5092,plain,
( complement(complement(one)) != join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5091]) ).
cnf(refute_0_5093,plain,
meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5094,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) != meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5095,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5093,refute_0_5094]) ).
cnf(refute_0_5096,plain,
meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5095]) ).
cnf(refute_0_5097,plain,
join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5098,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5099,plain,
( meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5097,refute_0_5098]) ).
cnf(refute_0_5100,plain,
join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5096,refute_0_5099]) ).
cnf(refute_0_5101,plain,
( join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| one != join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5102,plain,
( one != join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5100,refute_0_5101]) ).
cnf(refute_0_5103,plain,
( complement(complement(one)) != join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5092,refute_0_5102]) ).
cnf(refute_0_5104,plain,
one = join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5090,refute_0_5103]) ).
cnf(refute_0_5105,plain,
( one != join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5106,plain,
join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5104,refute_0_5105]) ).
cnf(refute_0_5107,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) != one
| complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_5108,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))))
| complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_5106,refute_0_5107]) ).
cnf(refute_0_5109,plain,
complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(join(complement(converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,converse(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5023,refute_0_5108]) ).
cnf(refute_0_5110,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))
| complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))) ),[0],$fot(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5111,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))
| meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_4913,refute_0_5110]) ).
cnf(refute_0_5112,plain,
meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5113,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5114,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5112,refute_0_5113]) ).
cnf(refute_0_5115,plain,
meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_4913,refute_0_5114]) ).
cnf(refute_0_5116,plain,
meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5117,plain,
( converse(one) != one
| meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5118,plain,
( converse(one) != one
| meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5116,refute_0_5117]) ).
cnf(refute_0_5119,plain,
meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_5118]) ).
cnf(refute_0_5120,plain,
( meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5121,plain,
( meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5119,refute_0_5120]) ).
cnf(refute_0_5122,plain,
meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5115,refute_0_5121]) ).
cnf(refute_0_5123,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) = meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(one))),bind(X_25,$fot(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5124,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) != meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)))),bind(Y,$fot(meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5125,plain,
( meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)),meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5123,refute_0_5124]) ).
cnf(refute_0_5126,plain,
meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(one),complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5122,refute_0_5125]) ).
cnf(refute_0_5127,plain,
( meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)) != meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))
| meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))) ),[1],$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5128,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))
| meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one)),meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5126,refute_0_5127]) ).
cnf(refute_0_5129,plain,
( complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))
| meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))) )],[refute_0_5111,refute_0_5128]) ).
cnf(refute_0_5130,plain,
meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(join(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),converse(one))) )],[refute_0_5109,refute_0_5129]) ).
cnf(refute_0_5131,plain,
( meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5132,plain,
meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5130,refute_0_5131]) ).
cnf(refute_0_5133,plain,
( meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| one != join(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))
| one = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))) ),[1,0],$fot(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5134,plain,
( one != join(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))
| one = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_5132,refute_0_5133]) ).
cnf(refute_0_5135,plain,
one = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))) )],[refute_0_5022,refute_0_5134]) ).
cnf(refute_0_5136,plain,
meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one) = meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5137,plain,
join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),
introduced(tautology,[refl,[$fot(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)))]]) ).
cnf(refute_0_5138,plain,
( join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))
| meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one) != meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))) ),[1,1],$fot(meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5139,plain,
( meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one) != meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))) )],[refute_0_5137,refute_0_5138]) ).
cnf(refute_0_5140,plain,
join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_5136,refute_0_5139]) ).
cnf(refute_0_5141,plain,
( join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| one != join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))
| one = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))) ),[1],$fot(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5142,plain,
( one != join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))
| one = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5140,refute_0_5141]) ).
cnf(refute_0_5143,plain,
one = join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one))) )],[refute_0_5135,refute_0_5142]) ).
cnf(refute_0_5144,plain,
( one != join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5145,plain,
join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(one,join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5143,refute_0_5144]) ).
cnf(refute_0_5146,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(complement(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != one
| complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_5147,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(complement(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),one) )],[refute_0_5145,refute_0_5146]) ).
cnf(refute_0_5148,plain,
complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(join(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5021,refute_0_5147]) ).
cnf(refute_0_5149,plain,
( complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5150,plain,
join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5148,refute_0_5149]) ).
cnf(refute_0_5151,plain,
( join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(one,join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != top
| join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),top) ),[0,1],$fot(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5152,plain,
( join(one,join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != top
| join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5150,refute_0_5151]) ).
cnf(refute_0_5153,plain,
join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(one),meet(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),top) )],[refute_0_5020,refute_0_5152]) ).
cnf(refute_0_5154,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != top
| complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5155,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_5153,refute_0_5154]) ).
cnf(refute_0_5156,plain,
complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5019,refute_0_5155]) ).
cnf(refute_0_5157,plain,
complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),bind(X_27,$fot(one))]]) ).
cnf(refute_0_5158,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)))),bind(Y,$fot(complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5159,plain,
( complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5019,refute_0_5158]) ).
cnf(refute_0_5160,plain,
complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) = meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5157,refute_0_5159]) ).
cnf(refute_0_5161,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != complement(top)
| complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),complement(top)) ),[0],$fot(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5162,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != complement(top)
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_5160,refute_0_5161]) ).
cnf(refute_0_5163,plain,
( complement(top) != zero
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(top)
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_5164,plain,
( meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(top)
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_5163]) ).
cnf(refute_0_5165,plain,
( complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)) != complement(top)
| meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(top)) )],[refute_0_5162,refute_0_5164]) ).
cnf(refute_0_5166,plain,
meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(complement(join(complement(meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),one)),complement(top)) )],[refute_0_5156,refute_0_5165]) ).
cnf(refute_0_5167,plain,
meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5168,plain,
( meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != zero
| meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = meet(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5169,plain,
( meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != zero
| meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = meet(one,zero) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_5167,refute_0_5168]) ).
cnf(refute_0_5170,plain,
meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = meet(one,zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_5166,refute_0_5169]) ).
cnf(refute_0_5171,plain,
( meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != meet(one,zero)
| meet(one,zero) != zero
| meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(one,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5172,plain,
( meet(one,zero) != zero
| meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,zero)) )],[refute_0_5170,refute_0_5171]) ).
cnf(refute_0_5173,plain,
meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(one,zero),zero) )],[refute_0_4995,refute_0_5172]) ).
cnf(refute_0_5174,plain,
meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5175,plain,
( meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != zero
| meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(complement(one),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5176,plain,
( meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != zero
| meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(complement(one),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5174,refute_0_5175]) ).
cnf(refute_0_5177,plain,
meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(complement(one),zero),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_5173,refute_0_5176]) ).
cnf(refute_0_5178,plain,
( meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != meet(complement(one),zero)
| meet(complement(one),zero) != zero
| meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(complement(one),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5179,plain,
( meet(complement(one),zero) != zero
| meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(complement(one),zero)) )],[refute_0_5177,refute_0_5178]) ).
cnf(refute_0_5180,plain,
meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),zero),zero) )],[refute_0_3640,refute_0_5179]) ).
cnf(refute_0_5181,plain,
meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5182,plain,
( meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != zero
| meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5183,plain,
( meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != zero
| meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,zero) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5181,refute_0_5182]) ).
cnf(refute_0_5184,plain,
meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),zero) )],[refute_0_5180,refute_0_5183]) ).
cnf(refute_0_5185,plain,
( meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != meet(one,zero)
| meet(one,zero) != zero
| meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(one,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5186,plain,
( meet(one,zero) != zero
| meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(one,zero)) )],[refute_0_5184,refute_0_5185]) ).
cnf(refute_0_5187,plain,
meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(meet(one,zero),zero) )],[refute_0_4995,refute_0_5186]) ).
cnf(refute_0_5188,plain,
converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5189,plain,
( converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != zero
| converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5190,plain,
( meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != zero
| converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5188,refute_0_5189]) ).
cnf(refute_0_5191,plain,
converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = converse(zero),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_5187,refute_0_5190]) ).
cnf(refute_0_5192,plain,
( converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != converse(zero)
| converse(zero) != zero
| converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5193,plain,
( converse(zero) != zero
| converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = zero ),
inference(resolve,[$cnf( $equal(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),converse(zero)) )],[refute_0_5191,refute_0_5192]) ).
cnf(refute_0_5194,plain,
converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_5193]) ).
cnf(refute_0_5195,plain,
join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) = join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298),
introduced(tautology,[refl,[$fot(join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298))]]) ).
cnf(refute_0_5196,plain,
( converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != zero
| join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) != join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)
| join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) = join(zero,X_298) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298),join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5197,plain,
( converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != zero
| join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) = join(zero,X_298) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298),join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) )],[refute_0_5195,refute_0_5196]) ).
cnf(refute_0_5198,plain,
join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) = join(zero,X_298),
inference(resolve,[$cnf( $equal(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),zero) )],[refute_0_5194,refute_0_5197]) ).
cnf(refute_0_5199,plain,
( join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) != join(zero,X_298)
| join(zero,X_298) != X_298
| join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) = X_298 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298))),bind(Y,$fot(join(zero,X_298))),bind(Z,$fot(X_298))]]) ).
cnf(refute_0_5200,plain,
( join(zero,X_298) != X_298
| join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) = X_298 ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298),join(zero,X_298)) )],[refute_0_5198,refute_0_5199]) ).
cnf(refute_0_5201,plain,
join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) = X_298,
inference(resolve,[$cnf( $equal(join(zero,X_298),X_298) )],[refute_0_4994,refute_0_5200]) ).
cnf(refute_0_5202,plain,
join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),
introduced(tautology,[refl,[$fot(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)))]]) ).
cnf(refute_0_5203,plain,
( join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) != X_298
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) != join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298))
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(one,X_298) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298))) ),[1,1],$fot(X_298)]]) ).
cnf(refute_0_5204,plain,
( join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298) != X_298
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(one,X_298) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298))) )],[refute_0_5202,refute_0_5203]) ).
cnf(refute_0_5205,plain,
join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) = join(one,X_298),
inference(resolve,[$cnf( $equal(join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298),X_298) )],[refute_0_5201,refute_0_5204]) ).
cnf(refute_0_5206,plain,
( join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) != join(X_298,one)
| join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) != join(one,X_298)
| join(one,X_298) = join(X_298,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(X_298,one)) ),[0],$fot(join(one,X_298))]]) ).
cnf(refute_0_5207,plain,
( join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)) != join(X_298,one)
| join(one,X_298) = join(X_298,one) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(one,X_298)) )],[refute_0_5205,refute_0_5206]) ).
cnf(refute_0_5208,plain,
join(one,X_298) = join(X_298,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,meet(complement(one),meet(one,meet(complement(one),meet(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),X_298)),join(X_298,one)) )],[refute_0_4993,refute_0_5207]) ).
cnf(refute_0_5209,plain,
( join(one,X_298) != join(X_298,one)
| join(X_298,one) = join(one,X_298) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_298))),bind(Y,$fot(join(X_298,one)))]]) ).
cnf(refute_0_5210,plain,
join(X_298,one) = join(one,X_298),
inference(resolve,[$cnf( $equal(join(one,X_298),join(X_298,one)) )],[refute_0_5208,refute_0_5209]) ).
cnf(refute_0_5211,plain,
join(join(X0,X1),one) = join(one,join(X0,X1)),
inference(subst,[],[refute_0_5210:[bind(X_298,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5212,plain,
( join(X_411,one) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_411,one)))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_411,one))) = join(X_411,one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_411,one))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_411,one)))))]]) ).
cnf(refute_0_5213,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_411,one))) = join(X_411,one),
inference(resolve,[$cnf( $equal(join(X_411,one),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(X_411,one)))) )],[refute_0_4858,refute_0_5212]) ).
cnf(refute_0_5214,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) = join(join(X0,X1),one),
inference(subst,[],[refute_0_5213:[bind(X_411,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5215,plain,
( join(join(X0,X1),one) != join(one,join(X0,X1))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) != join(join(X0,X1),one)
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) = join(one,join(X0,X1)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))))),bind(Y,$fot(join(join(X0,X1),one))),bind(Z,$fot(join(one,join(X0,X1))))]]) ).
cnf(refute_0_5216,plain,
( join(join(X0,X1),one) != join(one,join(X0,X1))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) = join(one,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))),join(join(X0,X1),one)) )],[refute_0_5214,refute_0_5215]) ).
cnf(refute_0_5217,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) = join(one,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(join(X0,X1),one),join(one,join(X0,X1))) )],[refute_0_5211,refute_0_5216]) ).
cnf(refute_0_5218,plain,
( join(X0,join(X1,one)) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))) != join(one,join(X0,X1))
| join(X0,join(X1,one)) = join(one,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,one)),join(one,join(X0,X1))) ),[0],$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))))]]) ).
cnf(refute_0_5219,plain,
( join(X0,join(X1,one)) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))
| join(X0,join(X1,one)) = join(one,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one))),join(one,join(X0,X1))) )],[refute_0_5217,refute_0_5218]) ).
cnf(refute_0_5220,plain,
join(X0,join(X1,one)) = join(one,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,one)),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),join(join(X0,X1),one)))) )],[refute_0_4865,refute_0_5219]) ).
cnf(refute_0_5221,plain,
join(converse(one),join(X_422,one)) = join(one,join(converse(one),X_422)),
inference(subst,[],[refute_0_5220:[bind(X0,$fot(converse(one))),bind(X1,$fot(X_422))]]) ).
cnf(refute_0_5222,plain,
converse(join(one,converse(join(X_422,one)))) = join(converse(one),join(X_422,one)),
inference(subst,[],[refute_0_425:[bind(X0,$fot(join(X_422,one))),bind(X_6,$fot(one))]]) ).
cnf(refute_0_5223,plain,
( converse(join(one,converse(join(X_422,one)))) != join(converse(one),join(X_422,one))
| join(converse(one),join(X_422,one)) != join(one,join(converse(one),X_422))
| converse(join(one,converse(join(X_422,one)))) = join(one,join(converse(one),X_422)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(join(X_422,one)))))),bind(Y,$fot(join(converse(one),join(X_422,one)))),bind(Z,$fot(join(one,join(converse(one),X_422))))]]) ).
cnf(refute_0_5224,plain,
( join(converse(one),join(X_422,one)) != join(one,join(converse(one),X_422))
| converse(join(one,converse(join(X_422,one)))) = join(one,join(converse(one),X_422)) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(join(X_422,one)))),join(converse(one),join(X_422,one))) )],[refute_0_5222,refute_0_5223]) ).
cnf(refute_0_5225,plain,
converse(join(one,converse(join(X_422,one)))) = join(one,join(converse(one),X_422)),
inference(resolve,[$cnf( $equal(join(converse(one),join(X_422,one)),join(one,join(converse(one),X_422))) )],[refute_0_5221,refute_0_5224]) ).
cnf(refute_0_5226,plain,
( converse(join(one,converse(join(X_422,one)))) != join(one,join(converse(one),X_422))
| join(one,join(converse(one),X_422)) != join(one,X_422)
| converse(join(one,converse(join(X_422,one)))) = join(one,X_422) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(join(X_422,one)))))),bind(Y,$fot(join(one,join(converse(one),X_422)))),bind(Z,$fot(join(one,X_422)))]]) ).
cnf(refute_0_5227,plain,
( join(one,join(converse(one),X_422)) != join(one,X_422)
| converse(join(one,converse(join(X_422,one)))) = join(one,X_422) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(join(X_422,one)))),join(one,join(converse(one),X_422))) )],[refute_0_5225,refute_0_5226]) ).
cnf(refute_0_5228,plain,
converse(join(one,converse(join(X_422,one)))) = join(one,X_422),
inference(resolve,[$cnf( $equal(join(one,join(converse(one),X_422)),join(one,X_422)) )],[refute_0_4772,refute_0_5227]) ).
cnf(refute_0_5229,plain,
( converse(join(one,converse(join(X_422,one)))) != join(one,X_422)
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != converse(join(one,converse(join(X_422,one))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = join(one,X_422) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),converse(join(one,converse(join(X_422,one))))) ),[1],$fot(join(one,X_422))]]) ).
cnf(refute_0_5230,plain,
( converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != converse(join(one,converse(join(X_422,one))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = join(one,X_422) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(join(X_422,one)))),join(one,X_422)) )],[refute_0_5228,refute_0_5229]) ).
cnf(refute_0_5231,plain,
( converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))) != converse(join(one,converse(join(X_422,one))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = join(one,X_422) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),converse(join(one,converse(join(X_422,one))))) )],[refute_0_4760,refute_0_5230]) ).
cnf(refute_0_5232,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = join(one,X_422),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))),one))),converse(join(one,converse(join(X_422,one))))) )],[refute_0_4750,refute_0_5231]) ).
cnf(refute_0_5233,plain,
converse(converse(join(X_422,one))) = join(X_422,one),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(X_422,one)))]]) ).
cnf(refute_0_5234,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) != converse(join(X_422,one))
| join(one,converse(join(X_422,one))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) ),[0,1],$fot(converse(join(X_422,one)))]]) ).
cnf(refute_0_5235,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))
| join(one,converse(join(X_422,one))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))),converse(join(X_422,one))) )],[refute_0_4747,refute_0_5234]) ).
cnf(refute_0_5236,plain,
join(one,converse(join(X_422,one))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) )],[refute_0_4751,refute_0_5235]) ).
cnf(refute_0_5237,plain,
join(one,join(X_422,one)) = join(X_422,one),
inference(subst,[],[refute_0_2547:[bind(X0,$fot(X_422))]]) ).
cnf(refute_0_5238,plain,
converse(join(one,join(X_422,one))) = converse(join(one,join(X_422,one))),
introduced(tautology,[refl,[$fot(converse(join(one,join(X_422,one))))]]) ).
cnf(refute_0_5239,plain,
( converse(join(one,join(X_422,one))) != converse(join(one,join(X_422,one)))
| join(one,join(X_422,one)) != join(X_422,one)
| converse(join(one,join(X_422,one))) = converse(join(X_422,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_422,one))),converse(join(one,join(X_422,one)))) ),[1,0],$fot(join(X_422,one))]]) ).
cnf(refute_0_5240,plain,
( join(one,join(X_422,one)) != join(X_422,one)
| converse(join(one,join(X_422,one))) = converse(join(X_422,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_422,one))),converse(join(one,join(X_422,one)))) )],[refute_0_5238,refute_0_5239]) ).
cnf(refute_0_5241,plain,
converse(join(one,join(X_422,one))) = converse(join(X_422,one)),
inference(resolve,[$cnf( $equal(join(one,join(X_422,one)),join(X_422,one)) )],[refute_0_5237,refute_0_5240]) ).
cnf(refute_0_5242,plain,
join(one,converse(join(X_422,one))) = converse(join(one,join(X_422,one))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(join(X_422,one)))]]) ).
cnf(refute_0_5243,plain,
( converse(join(one,join(X_422,one))) != converse(join(X_422,one))
| join(one,converse(join(X_422,one))) != converse(join(one,join(X_422,one)))
| join(one,converse(join(X_422,one))) = converse(join(X_422,one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(join(X_422,one))))),bind(Y,$fot(converse(join(one,join(X_422,one))))),bind(Z,$fot(converse(join(X_422,one))))]]) ).
cnf(refute_0_5244,plain,
( converse(join(one,join(X_422,one))) != converse(join(X_422,one))
| join(one,converse(join(X_422,one))) = converse(join(X_422,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_422,one))),converse(join(one,join(X_422,one)))) )],[refute_0_5242,refute_0_5243]) ).
cnf(refute_0_5245,plain,
join(one,converse(join(X_422,one))) = converse(join(X_422,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_422,one))),converse(join(X_422,one))) )],[refute_0_5241,refute_0_5244]) ).
cnf(refute_0_5246,plain,
( join(one,converse(join(X_422,one))) != converse(join(X_422,one))
| join(one,converse(join(X_422,one))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))
| converse(join(X_422,one)) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,converse(join(X_422,one))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) ),[0],$fot(converse(join(X_422,one)))]]) ).
cnf(refute_0_5247,plain,
( join(one,converse(join(X_422,one))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))
| converse(join(X_422,one)) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_422,one))),converse(join(X_422,one))) )],[refute_0_5245,refute_0_5246]) ).
cnf(refute_0_5248,plain,
converse(join(X_422,one)) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X_422,one))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) )],[refute_0_5236,refute_0_5247]) ).
cnf(refute_0_5249,plain,
( converse(join(X_422,one)) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) = converse(join(X_422,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_422,one)))),bind(Y,$fot(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))]]) ).
cnf(refute_0_5250,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) = converse(join(X_422,one)),
inference(resolve,[$cnf( $equal(converse(join(X_422,one)),join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) )],[refute_0_5248,refute_0_5249]) ).
cnf(refute_0_5251,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),
introduced(tautology,[refl,[$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))]]) ).
cnf(refute_0_5252,plain,
( converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) != converse(join(X_422,one))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = converse(converse(join(X_422,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) ),[1,0],$fot(converse(join(X_422,one)))]]) ).
cnf(refute_0_5253,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))) != converse(join(X_422,one))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = converse(converse(join(X_422,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))))) )],[refute_0_5251,refute_0_5252]) ).
cnf(refute_0_5254,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = converse(converse(join(X_422,one))),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one)))),converse(join(X_422,one))) )],[refute_0_5250,refute_0_5253]) ).
cnf(refute_0_5255,plain,
( converse(converse(join(X_422,one))) != join(X_422,one)
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != converse(converse(join(X_422,one)))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = join(X_422,one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))))),bind(Y,$fot(converse(converse(join(X_422,one))))),bind(Z,$fot(join(X_422,one)))]]) ).
cnf(refute_0_5256,plain,
( converse(converse(join(X_422,one))) != join(X_422,one)
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = join(X_422,one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),converse(converse(join(X_422,one)))) )],[refute_0_5254,refute_0_5255]) ).
cnf(refute_0_5257,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) = join(X_422,one),
inference(resolve,[$cnf( $equal(converse(converse(join(X_422,one))),join(X_422,one)) )],[refute_0_5233,refute_0_5256]) ).
cnf(refute_0_5258,plain,
( converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != join(X_422,one)
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != join(one,X_422)
| join(X_422,one) = join(one,X_422) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),join(one,X_422)) ),[0],$fot(join(X_422,one))]]) ).
cnf(refute_0_5259,plain,
( converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))) != join(one,X_422)
| join(X_422,one) = join(one,X_422) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),join(X_422,one)) )],[refute_0_5257,refute_0_5258]) ).
cnf(refute_0_5260,plain,
join(X_422,one) = join(one,X_422),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(join(X_422,one))))),join(one,X_422)) )],[refute_0_5232,refute_0_5259]) ).
cnf(refute_0_5261,plain,
join(converse(X0),one) = join(one,converse(X0)),
inference(subst,[],[refute_0_5260:[bind(X_422,$fot(converse(X0)))]]) ).
cnf(refute_0_5262,plain,
( join(converse(X0),one) != join(one,converse(X0))
| join(one,converse(X0)) != converse(join(one,X0))
| join(converse(X0),one) = converse(join(one,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X0),one))),bind(Y,$fot(join(one,converse(X0)))),bind(Z,$fot(converse(join(one,X0))))]]) ).
cnf(refute_0_5263,plain,
( join(one,converse(X0)) != converse(join(one,X0))
| join(converse(X0),one) = converse(join(one,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),one),join(one,converse(X0))) )],[refute_0_5261,refute_0_5262]) ).
cnf(refute_0_5264,plain,
join(converse(X0),one) = converse(join(one,X0)),
inference(resolve,[$cnf( $equal(join(one,converse(X0)),converse(join(one,X0))) )],[refute_0_667,refute_0_5263]) ).
cnf(refute_0_5265,plain,
( converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(converse(X0),one)
| join(converse(X0),one) != converse(join(one,X0))
| converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(one,X0))) ),[0],$fot(join(converse(X0),one))]]) ).
cnf(refute_0_5266,plain,
( converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(converse(X0),one)
| converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),one),converse(join(one,X0))) )],[refute_0_5264,refute_0_5265]) ).
cnf(refute_0_5267,plain,
converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(converse(X0),one)) )],[refute_0_4652,refute_0_5266]) ).
cnf(refute_0_5268,plain,
converse(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5269,plain,
( converse(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != one
| converse(one) = join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_5270,plain,
( converse(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(one) = join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_4649,refute_0_5269]) ).
cnf(refute_0_5271,plain,
converse(one) = join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5268,refute_0_5270]) ).
cnf(refute_0_5272,plain,
( converse(one) != join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(one) != one
| one = join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(one),join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5273,plain,
( converse(one) != join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| one = join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_5272]) ).
cnf(refute_0_5274,plain,
one = join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(one),join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5271,refute_0_5273]) ).
cnf(refute_0_5275,plain,
( one != join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5276,plain,
join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5274,refute_0_5275]) ).
cnf(refute_0_5277,plain,
join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5278,plain,
( join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != one
| join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_5279,plain,
( join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != one
| join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(X0,one) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5277,refute_0_5278]) ).
cnf(refute_0_5280,plain,
join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_5276,refute_0_5279]) ).
cnf(refute_0_5281,plain,
converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5282,plain,
( converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(X0,one)
| converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(join(X0,one))]]) ).
cnf(refute_0_5283,plain,
( join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(X0,one)
| converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(X0,one)) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5281,refute_0_5282]) ).
cnf(refute_0_5284,plain,
converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(X0,one)),
inference(resolve,[$cnf( $equal(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(X0,one)) )],[refute_0_5280,refute_0_5283]) ).
cnf(refute_0_5285,plain,
( converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(X0,one))
| converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,X0))
| converse(join(X0,one)) = converse(join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(one,X0))) ),[0],$fot(converse(join(X0,one)))]]) ).
cnf(refute_0_5286,plain,
( converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,X0))
| converse(join(X0,one)) = converse(join(one,X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(X0,one))) )],[refute_0_5284,refute_0_5285]) ).
cnf(refute_0_5287,plain,
converse(join(X0,one)) = converse(join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,meet(join(skolemFOFtoCNF_X0,complement(one)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(one,X0))) )],[refute_0_5267,refute_0_5286]) ).
cnf(refute_0_5288,plain,
converse(join(complement(converse(complement(converse(complement(one))))),one)) = converse(join(one,complement(converse(complement(converse(complement(one))))))),
inference(subst,[],[refute_0_5287:[bind(X0,$fot(complement(converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_5289,plain,
converse(join(X_494,join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),
inference(subst,[],[refute_0_3106:[bind(X1,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),bind(X_101,$fot(one)),bind(X_102,$fot(X_494))]]) ).
cnf(refute_0_5290,plain,
join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_5291,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) != converse(complement(converse(complement(one))))
| join(one,converse(complement(converse(complement(one))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) ),[0,1],$fot(converse(complement(converse(complement(one)))))]]) ).
cnf(refute_0_5292,plain,
( join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| join(one,converse(complement(converse(complement(one))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),converse(complement(converse(complement(one))))) )],[refute_0_3947,refute_0_5291]) ).
cnf(refute_0_5293,plain,
join(one,converse(complement(converse(complement(one))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) )],[refute_0_5290,refute_0_5292]) ).
cnf(refute_0_5294,plain,
join(one,converse(complement(converse(complement(one))))) = converse(join(one,complement(converse(complement(one))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_5295,plain,
( join(one,converse(complement(converse(complement(one))))) != converse(join(one,complement(converse(complement(one)))))
| join(one,converse(complement(converse(complement(one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| converse(join(one,complement(converse(complement(one))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) ),[0],$fot(converse(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5296,plain,
( join(one,converse(complement(converse(complement(one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| converse(join(one,complement(converse(complement(one))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(complement(one))))),converse(join(one,complement(converse(complement(one)))))) )],[refute_0_5294,refute_0_5295]) ).
cnf(refute_0_5297,plain,
converse(join(one,complement(converse(complement(one))))) = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) )],[refute_0_5293,refute_0_5296]) ).
cnf(refute_0_5298,plain,
join(one,complement(converse(complement(one)))) = meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),meet(complement(one),join(one,complement(converse(complement(one))))))),
inference(subst,[],[refute_0_4271:[bind(X_149,$fot(complement(one))),bind(X_150,$fot(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5299,plain,
zero = meet(converse(join(one,X_337)),complement(converse(join(one,X_337)))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(converse(join(one,X_337))))]]) ).
cnf(refute_0_5300,plain,
join(complement(converse(join(one,X_6))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) = complement(converse(join(one,X_6))),
inference(subst,[],[refute_0_3665:[bind(X0,$fot(join(one,X_6))),bind(X1,$fot(X_336))]]) ).
cnf(refute_0_5301,plain,
( converse(join(one,X_6)) != converse(join(X_6,one))
| join(complement(converse(join(one,X_6))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) != complement(converse(join(one,X_6)))
| join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) = complement(converse(join(one,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(one,X_6))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))),complement(converse(join(one,X_6)))) ),[0,0,0],$fot(converse(join(X_6,one)))]]) ).
cnf(refute_0_5302,plain,
( join(complement(converse(join(one,X_6))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) != complement(converse(join(one,X_6)))
| join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) = complement(converse(join(one,X_6))) ),
inference(resolve,[$cnf( $equal(converse(join(one,X_6)),converse(join(X_6,one))) )],[refute_0_1586,refute_0_5301]) ).
cnf(refute_0_5303,plain,
join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) = complement(converse(join(one,X_6))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(one,X_6))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))),complement(converse(join(one,X_6)))) )],[refute_0_5300,refute_0_5302]) ).
cnf(refute_0_5304,plain,
join(complement(converse(join(X_127,one))),composition(X_336,complement(converse(composition(join(X_127,one),X_336))))) = complement(converse(join(X_127,one))),
inference(subst,[],[refute_0_3665:[bind(X0,$fot(join(X_127,one))),bind(X1,$fot(X_336))]]) ).
cnf(refute_0_5305,plain,
composition(join(one,X_127),X_336) = composition(join(X_127,one),X_336),
inference(subst,[],[refute_0_1402:[bind(X_110,$fot(X_336))]]) ).
cnf(refute_0_5306,plain,
( composition(join(one,X_127),X_336) != composition(join(X_127,one),X_336)
| composition(join(X_127,one),X_336) = composition(join(one,X_127),X_336) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(one,X_127),X_336))),bind(Y,$fot(composition(join(X_127,one),X_336)))]]) ).
cnf(refute_0_5307,plain,
composition(join(X_127,one),X_336) = composition(join(one,X_127),X_336),
inference(resolve,[$cnf( $equal(composition(join(one,X_127),X_336),composition(join(X_127,one),X_336)) )],[refute_0_5305,refute_0_5306]) ).
cnf(refute_0_5308,plain,
( composition(join(X_127,one),X_336) != composition(join(one,X_127),X_336)
| join(complement(converse(join(X_127,one))),composition(X_336,complement(converse(composition(join(X_127,one),X_336))))) != complement(converse(join(X_127,one)))
| join(complement(converse(join(X_127,one))),composition(X_336,complement(converse(composition(join(one,X_127),X_336))))) = complement(converse(join(X_127,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_127,one))),composition(X_336,complement(converse(composition(join(X_127,one),X_336))))),complement(converse(join(X_127,one)))) ),[0,1,1,0,0],$fot(composition(join(one,X_127),X_336))]]) ).
cnf(refute_0_5309,plain,
( join(complement(converse(join(X_127,one))),composition(X_336,complement(converse(composition(join(X_127,one),X_336))))) != complement(converse(join(X_127,one)))
| join(complement(converse(join(X_127,one))),composition(X_336,complement(converse(composition(join(one,X_127),X_336))))) = complement(converse(join(X_127,one))) ),
inference(resolve,[$cnf( $equal(composition(join(X_127,one),X_336),composition(join(one,X_127),X_336)) )],[refute_0_5307,refute_0_5308]) ).
cnf(refute_0_5310,plain,
join(complement(converse(join(X_127,one))),composition(X_336,complement(converse(composition(join(one,X_127),X_336))))) = complement(converse(join(X_127,one))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_127,one))),composition(X_336,complement(converse(composition(join(X_127,one),X_336))))),complement(converse(join(X_127,one)))) )],[refute_0_5304,refute_0_5309]) ).
cnf(refute_0_5311,plain,
join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) = complement(converse(join(X_6,one))),
inference(subst,[],[refute_0_5310:[bind(X_127,$fot(X_6))]]) ).
cnf(refute_0_5312,plain,
( join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) != complement(converse(join(X_6,one)))
| join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) != complement(converse(join(one,X_6)))
| complement(converse(join(X_6,one))) = complement(converse(join(one,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))),complement(converse(join(one,X_6)))) ),[0],$fot(complement(converse(join(X_6,one))))]]) ).
cnf(refute_0_5313,plain,
( join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))) != complement(converse(join(one,X_6)))
| complement(converse(join(X_6,one))) = complement(converse(join(one,X_6))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))),complement(converse(join(X_6,one)))) )],[refute_0_5311,refute_0_5312]) ).
cnf(refute_0_5314,plain,
complement(converse(join(X_6,one))) = complement(converse(join(one,X_6))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_6,one))),composition(X_336,complement(converse(composition(join(one,X_6),X_336))))),complement(converse(join(one,X_6)))) )],[refute_0_5303,refute_0_5313]) ).
cnf(refute_0_5315,plain,
complement(converse(join(X_337,one))) = complement(converse(join(one,X_337))),
inference(subst,[],[refute_0_5314:[bind(X_6,$fot(X_337))]]) ).
cnf(refute_0_5316,plain,
( complement(converse(join(X_337,one))) != complement(converse(join(one,X_337)))
| complement(converse(join(one,X_337))) = complement(converse(join(X_337,one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(join(X_337,one))))),bind(Y,$fot(complement(converse(join(one,X_337)))))]]) ).
cnf(refute_0_5317,plain,
complement(converse(join(one,X_337))) = complement(converse(join(X_337,one))),
inference(resolve,[$cnf( $equal(complement(converse(join(X_337,one))),complement(converse(join(one,X_337)))) )],[refute_0_5315,refute_0_5316]) ).
cnf(refute_0_5318,plain,
( complement(converse(join(one,X_337))) != complement(converse(join(X_337,one)))
| zero != meet(converse(join(one,X_337)),complement(converse(join(one,X_337))))
| zero = meet(converse(join(one,X_337)),complement(converse(join(X_337,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(join(one,X_337)),complement(converse(join(one,X_337))))) ),[1,1],$fot(complement(converse(join(X_337,one))))]]) ).
cnf(refute_0_5319,plain,
( zero != meet(converse(join(one,X_337)),complement(converse(join(one,X_337))))
| zero = meet(converse(join(one,X_337)),complement(converse(join(X_337,one)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,X_337))),complement(converse(join(X_337,one)))) )],[refute_0_5317,refute_0_5318]) ).
cnf(refute_0_5320,plain,
zero = meet(converse(join(one,X_337)),complement(converse(join(X_337,one)))),
inference(resolve,[$cnf( $equal(zero,meet(converse(join(one,X_337)),complement(converse(join(one,X_337))))) )],[refute_0_5299,refute_0_5319]) ).
cnf(refute_0_5321,plain,
zero = meet(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),
inference(subst,[],[refute_0_5320:[bind(X_337,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_5322,plain,
( converse(join(one,complement(converse(complement(one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) = converse(join(one,complement(converse(complement(one))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,complement(converse(complement(one))))))),bind(Y,$fot(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))]]) ).
cnf(refute_0_5323,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) = converse(join(one,complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) )],[refute_0_5297,refute_0_5322]) ).
cnf(refute_0_5324,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) != converse(join(one,complement(converse(complement(one)))))
| zero != meet(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))
| zero = meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) ),[1,0,0],$fot(converse(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5325,plain,
( zero != meet(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))
| zero = meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),converse(join(one,complement(converse(complement(one)))))) )],[refute_0_5323,refute_0_5324]) ).
cnf(refute_0_5326,plain,
zero = meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),
inference(resolve,[$cnf( $equal(zero,meet(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) )],[refute_0_5321,refute_0_5325]) ).
cnf(refute_0_5327,plain,
meet(join(one,complement(converse(complement(one)))),complement(one)) = meet(complement(one),join(one,complement(converse(complement(one))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(complement(one))),bind(X_25,$fot(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5328,plain,
complement(join(one,complement(converse(complement(one))))) = meet(complement(one),converse(complement(one))),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(converse(complement(one)))),bind(X_27,$fot(one))]]) ).
cnf(refute_0_5329,plain,
( complement(join(one,complement(converse(complement(one))))) != meet(complement(one),converse(complement(one)))
| meet(complement(one),converse(complement(one))) != complement(one)
| complement(join(one,complement(converse(complement(one))))) = complement(one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(one,complement(converse(complement(one))))))),bind(Y,$fot(meet(complement(one),converse(complement(one))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_5330,plain,
( meet(complement(one),converse(complement(one))) != complement(one)
| complement(join(one,complement(converse(complement(one))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(join(one,complement(converse(complement(one))))),meet(complement(one),converse(complement(one)))) )],[refute_0_5328,refute_0_5329]) ).
cnf(refute_0_5331,plain,
complement(join(one,complement(converse(complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_3505,refute_0_5330]) ).
cnf(refute_0_5332,plain,
converse(converse(join(one,complement(converse(complement(one)))))) = join(one,complement(converse(complement(one)))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5333,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) = converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),
introduced(tautology,[refl,[$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))]]) ).
cnf(refute_0_5334,plain,
( converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) != converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) != converse(join(one,complement(converse(complement(one)))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) = converse(converse(join(one,complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) ),[1,0],$fot(converse(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5335,plain,
( join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) != converse(join(one,complement(converse(complement(one)))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) = converse(converse(join(one,complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) )],[refute_0_5333,refute_0_5334]) ).
cnf(refute_0_5336,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) = converse(converse(join(one,complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),converse(join(one,complement(converse(complement(one)))))) )],[refute_0_5323,refute_0_5335]) ).
cnf(refute_0_5337,plain,
( converse(converse(join(one,complement(converse(complement(one)))))) != join(one,complement(converse(complement(one))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) != converse(converse(join(one,complement(converse(complement(one))))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) = join(one,complement(converse(complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))),bind(Y,$fot(converse(converse(join(one,complement(converse(complement(one)))))))),bind(Z,$fot(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5338,plain,
( converse(converse(join(one,complement(converse(complement(one)))))) != join(one,complement(converse(complement(one))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) = join(one,complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),converse(converse(join(one,complement(converse(complement(one))))))) )],[refute_0_5336,refute_0_5337]) ).
cnf(refute_0_5339,plain,
converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) = join(one,complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(complement(one)))))),join(one,complement(converse(complement(one))))) )],[refute_0_5332,refute_0_5338]) ).
cnf(refute_0_5340,plain,
complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),
introduced(tautology,[refl,[$fot(complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_5341,plain,
( complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))
| converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) != join(one,complement(converse(complement(one))))
| complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = complement(join(one,complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))) ),[1,0],$fot(join(one,complement(converse(complement(one)))))]]) ).
cnf(refute_0_5342,plain,
( converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) != join(one,complement(converse(complement(one))))
| complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = complement(join(one,complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))) )],[refute_0_5340,refute_0_5341]) ).
cnf(refute_0_5343,plain,
complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = complement(join(one,complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),join(one,complement(converse(complement(one))))) )],[refute_0_5339,refute_0_5342]) ).
cnf(refute_0_5344,plain,
( complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != complement(join(one,complement(converse(complement(one)))))
| complement(join(one,complement(converse(complement(one))))) != complement(one)
| complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = complement(one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))),bind(Y,$fot(complement(join(one,complement(converse(complement(one))))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_5345,plain,
( complement(join(one,complement(converse(complement(one))))) != complement(one)
| complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),complement(join(one,complement(converse(complement(one)))))) )],[refute_0_5343,refute_0_5344]) ).
cnf(refute_0_5346,plain,
complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(join(one,complement(converse(complement(one))))),complement(one)) )],[refute_0_5331,refute_0_5345]) ).
cnf(refute_0_5347,plain,
complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))) = complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),
inference(subst,[],[refute_0_3826:[bind(X_6,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),bind(X_7,$fot(one))]]) ).
cnf(refute_0_5348,plain,
( complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))) != complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))
| complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != complement(one)
| complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))) = complement(one) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))),bind(Y,$fot(complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_5349,plain,
( complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != complement(one)
| complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))),complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))) )],[refute_0_5347,refute_0_5348]) ).
cnf(refute_0_5350,plain,
complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(converse(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),complement(one)) )],[refute_0_5346,refute_0_5349]) ).
cnf(refute_0_5351,plain,
meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),
introduced(tautology,[refl,[$fot(meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))))]]) ).
cnf(refute_0_5352,plain,
( complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))) != complement(one)
| meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) != meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))
| meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5353,plain,
( complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))) != complement(one)
| meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) )],[refute_0_5351,refute_0_5352]) ).
cnf(refute_0_5354,plain,
meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))),complement(one)) )],[refute_0_5350,refute_0_5353]) ).
cnf(refute_0_5355,plain,
meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),
introduced(tautology,[refl,[$fot(meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))))]]) ).
cnf(refute_0_5356,plain,
( converse(converse(join(one,complement(converse(complement(one)))))) != join(one,complement(converse(complement(one))))
| meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) != meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))
| meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) ),[1,0],$fot(join(one,complement(converse(complement(one)))))]]) ).
cnf(refute_0_5357,plain,
( converse(converse(join(one,complement(converse(complement(one)))))) != join(one,complement(converse(complement(one))))
| meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) )],[refute_0_5355,refute_0_5356]) ).
cnf(refute_0_5358,plain,
meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),
inference(resolve,[$cnf( $equal(converse(converse(join(one,complement(converse(complement(one)))))),join(one,complement(converse(complement(one))))) )],[refute_0_5332,refute_0_5357]) ).
cnf(refute_0_5359,plain,
( meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) != meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))
| meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) != meet(join(one,complement(converse(complement(one)))),complement(one))
| meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))))),bind(Y,$fot(meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))))),bind(Z,$fot(meet(join(one,complement(converse(complement(one)))),complement(one))))]]) ).
cnf(refute_0_5360,plain,
( meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) != meet(join(one,complement(converse(complement(one)))),complement(one))
| meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(one)) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) )],[refute_0_5358,refute_0_5359]) ).
cnf(refute_0_5361,plain,
meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(join(one,complement(converse(complement(one)))),complement(one)),
inference(resolve,[$cnf( $equal(meet(join(one,complement(converse(complement(one)))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),meet(join(one,complement(converse(complement(one)))),complement(one))) )],[refute_0_5354,refute_0_5360]) ).
cnf(refute_0_5362,plain,
( meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) != meet(join(one,complement(converse(complement(one)))),complement(one))
| meet(join(one,complement(converse(complement(one)))),complement(one)) != meet(complement(one),join(one,complement(converse(complement(one)))))
| meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(complement(one),join(one,complement(converse(complement(one))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))))),bind(Y,$fot(meet(join(one,complement(converse(complement(one)))),complement(one)))),bind(Z,$fot(meet(complement(one),join(one,complement(converse(complement(one)))))))]]) ).
cnf(refute_0_5363,plain,
( meet(join(one,complement(converse(complement(one)))),complement(one)) != meet(complement(one),join(one,complement(converse(complement(one)))))
| meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(complement(one),join(one,complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),meet(join(one,complement(converse(complement(one)))),complement(one))) )],[refute_0_5361,refute_0_5362]) ).
cnf(refute_0_5364,plain,
meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) = meet(complement(one),join(one,complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(converse(complement(one)))),complement(one)),meet(complement(one),join(one,complement(converse(complement(one)))))) )],[refute_0_5327,refute_0_5363]) ).
cnf(refute_0_5365,plain,
( meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))) != meet(complement(one),join(one,complement(converse(complement(one)))))
| zero != meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))
| zero = meet(complement(one),join(one,complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) ),[1],$fot(meet(complement(one),join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5366,plain,
( zero != meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))
| zero = meet(complement(one),join(one,complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one)))),meet(complement(one),join(one,complement(converse(complement(one)))))) )],[refute_0_5364,refute_0_5365]) ).
cnf(refute_0_5367,plain,
zero = meet(complement(one),join(one,complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(zero,meet(converse(converse(join(one,complement(converse(complement(one)))))),complement(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),one))))) )],[refute_0_5326,refute_0_5366]) ).
cnf(refute_0_5368,plain,
( zero != meet(complement(one),join(one,complement(converse(complement(one)))))
| meet(complement(one),join(one,complement(converse(complement(one))))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(one),join(one,complement(converse(complement(one)))))))]]) ).
cnf(refute_0_5369,plain,
meet(complement(one),join(one,complement(converse(complement(one))))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(one),join(one,complement(converse(complement(one)))))) )],[refute_0_5367,refute_0_5368]) ).
cnf(refute_0_5370,plain,
( join(one,complement(converse(complement(one)))) != meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),meet(complement(one),join(one,complement(converse(complement(one)))))))
| meet(complement(one),join(one,complement(converse(complement(one))))) != zero
| join(one,complement(converse(complement(one)))) = meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(complement(one)))),meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),meet(complement(one),join(one,complement(converse(complement(one)))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_5371,plain,
( join(one,complement(converse(complement(one)))) != meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),meet(complement(one),join(one,complement(converse(complement(one)))))))
| join(one,complement(converse(complement(one)))) = meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(one,complement(converse(complement(one))))),zero) )],[refute_0_5369,refute_0_5370]) ).
cnf(refute_0_5372,plain,
join(one,complement(converse(complement(one)))) = meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(one)))),meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),meet(complement(one),join(one,complement(converse(complement(one)))))))) )],[refute_0_5298,refute_0_5371]) ).
cnf(refute_0_5373,plain,
complement(complement(X0)) = meet(complement(complement(X0)),join(complement(complement(X0)),X_265)),
inference(subst,[],[refute_0_3479:[bind(X_222,$fot(complement(X0))),bind(X_223,$fot(X_265))]]) ).
cnf(refute_0_5374,plain,
( complement(complement(X0)) != X0
| complement(complement(X0)) != meet(complement(complement(X0)),join(complement(complement(X0)),X_265))
| complement(complement(X0)) = meet(complement(complement(X0)),join(X0,X_265)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),join(complement(complement(X0)),X_265))) ),[1,1,0],$fot(X0)]]) ).
cnf(refute_0_5375,plain,
( complement(complement(X0)) != meet(complement(complement(X0)),join(complement(complement(X0)),X_265))
| complement(complement(X0)) = meet(complement(complement(X0)),join(X0,X_265)) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_5374]) ).
cnf(refute_0_5376,plain,
complement(complement(X0)) = meet(complement(complement(X0)),join(X0,X_265)),
inference(resolve,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),join(complement(complement(X0)),X_265))) )],[refute_0_5373,refute_0_5375]) ).
cnf(refute_0_5377,plain,
( complement(complement(X0)) != X0
| complement(complement(X0)) != meet(complement(complement(X0)),join(X0,X_265))
| X0 = meet(complement(complement(X0)),join(X0,X_265)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),join(X0,X_265))) ),[0],$fot(X0)]]) ).
cnf(refute_0_5378,plain,
( complement(complement(X0)) != meet(complement(complement(X0)),join(X0,X_265))
| X0 = meet(complement(complement(X0)),join(X0,X_265)) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_5377]) ).
cnf(refute_0_5379,plain,
meet(complement(complement(X0)),join(X0,X_265)) = meet(complement(complement(X0)),join(X0,X_265)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X0)),join(X0,X_265)))]]) ).
cnf(refute_0_5380,plain,
( complement(complement(X0)) != X0
| meet(complement(complement(X0)),join(X0,X_265)) != meet(complement(complement(X0)),join(X0,X_265))
| meet(complement(complement(X0)),join(X0,X_265)) = meet(X0,join(X0,X_265)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X0)),join(X0,X_265)),meet(complement(complement(X0)),join(X0,X_265))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_5381,plain,
( complement(complement(X0)) != X0
| meet(complement(complement(X0)),join(X0,X_265)) = meet(X0,join(X0,X_265)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X0)),join(X0,X_265)),meet(complement(complement(X0)),join(X0,X_265))) )],[refute_0_5379,refute_0_5380]) ).
cnf(refute_0_5382,plain,
meet(complement(complement(X0)),join(X0,X_265)) = meet(X0,join(X0,X_265)),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_5381]) ).
cnf(refute_0_5383,plain,
( X0 != meet(complement(complement(X0)),join(X0,X_265))
| meet(complement(complement(X0)),join(X0,X_265)) != meet(X0,join(X0,X_265))
| X0 = meet(X0,join(X0,X_265)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,join(X0,X_265))) ),[0],$fot(meet(complement(complement(X0)),join(X0,X_265)))]]) ).
cnf(refute_0_5384,plain,
( X0 != meet(complement(complement(X0)),join(X0,X_265))
| X0 = meet(X0,join(X0,X_265)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X0)),join(X0,X_265)),meet(X0,join(X0,X_265))) )],[refute_0_5382,refute_0_5383]) ).
cnf(refute_0_5385,plain,
( complement(complement(X0)) != meet(complement(complement(X0)),join(X0,X_265))
| X0 = meet(X0,join(X0,X_265)) ),
inference(resolve,[$cnf( $equal(X0,meet(complement(complement(X0)),join(X0,X_265))) )],[refute_0_5378,refute_0_5384]) ).
cnf(refute_0_5386,plain,
X0 = meet(X0,join(X0,X_265)),
inference(resolve,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),join(X0,X_265))) )],[refute_0_5376,refute_0_5385]) ).
cnf(refute_0_5387,plain,
( X0 != meet(X0,join(X0,X_265))
| meet(X0,join(X0,X_265)) = X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X0)),bind(Y,$fot(meet(X0,join(X0,X_265))))]]) ).
cnf(refute_0_5388,plain,
meet(X0,join(X0,X_265)) = X0,
inference(resolve,[$cnf( $equal(X0,meet(X0,join(X0,X_265))) )],[refute_0_5386,refute_0_5387]) ).
cnf(refute_0_5389,plain,
meet(one,join(one,complement(converse(complement(one))))) = one,
inference(subst,[],[refute_0_5388:[bind(X0,$fot(one)),bind(X_265,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_5390,plain,
meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) = meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5391,plain,
( join(complement(complement(one)),zero) != one
| meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) != meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one)))))
| meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) = meet(one,join(one,complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))),meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5392,plain,
( join(complement(complement(one)),zero) != one
| meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) = meet(one,join(one,complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))),meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one)))))) )],[refute_0_5390,refute_0_5391]) ).
cnf(refute_0_5393,plain,
meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) = meet(one,join(one,complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),zero),one) )],[refute_0_4375,refute_0_5392]) ).
cnf(refute_0_5394,plain,
( meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) != meet(one,join(one,complement(converse(complement(one)))))
| meet(one,join(one,complement(converse(complement(one))))) != one
| meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))))),bind(Y,$fot(meet(one,join(one,complement(converse(complement(one))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_5395,plain,
( meet(one,join(one,complement(converse(complement(one))))) != one
| meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) = one ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))),meet(one,join(one,complement(converse(complement(one)))))) )],[refute_0_5393,refute_0_5394]) ).
cnf(refute_0_5396,plain,
meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) = one,
inference(resolve,[$cnf( $equal(meet(one,join(one,complement(converse(complement(one))))),one) )],[refute_0_5389,refute_0_5395]) ).
cnf(refute_0_5397,plain,
meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)) = meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(complement(complement(one)),zero))),bind(X_25,$fot(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5398,plain,
( meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) != one
| meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)) != meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one)))))
| meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)))),bind(Y,$fot(meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_5399,plain,
( meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))) != one
| meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)) = one ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)),meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one)))))) )],[refute_0_5397,refute_0_5398]) ).
cnf(refute_0_5400,plain,
meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)) = one,
inference(resolve,[$cnf( $equal(meet(join(complement(complement(one)),zero),join(one,complement(converse(complement(one))))),one) )],[refute_0_5396,refute_0_5399]) ).
cnf(refute_0_5401,plain,
( join(one,complement(converse(complement(one)))) != meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero))
| meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)) != one
| join(one,complement(converse(complement(one)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,complement(converse(complement(one)))),one) ),[0],$fot(meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)))]]) ).
cnf(refute_0_5402,plain,
( join(one,complement(converse(complement(one)))) != meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero))
| join(one,complement(converse(complement(one)))) = one ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero)),one) )],[refute_0_5400,refute_0_5401]) ).
cnf(refute_0_5403,plain,
join(one,complement(converse(complement(one)))) = one,
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(one)))),meet(join(one,complement(converse(complement(one)))),join(complement(complement(one)),zero))) )],[refute_0_5372,refute_0_5402]) ).
cnf(refute_0_5404,plain,
converse(join(one,complement(converse(complement(one))))) = converse(join(one,complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(complement(one))))))]]) ).
cnf(refute_0_5405,plain,
( converse(join(one,complement(converse(complement(one))))) != converse(join(one,complement(converse(complement(one)))))
| join(one,complement(converse(complement(one)))) != one
| converse(join(one,complement(converse(complement(one))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(complement(one))))),converse(join(one,complement(converse(complement(one)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5406,plain,
( join(one,complement(converse(complement(one)))) != one
| converse(join(one,complement(converse(complement(one))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(one))))),converse(join(one,complement(converse(complement(one)))))) )],[refute_0_5404,refute_0_5405]) ).
cnf(refute_0_5407,plain,
converse(join(one,complement(converse(complement(one))))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(converse(complement(one)))),one) )],[refute_0_5403,refute_0_5406]) ).
cnf(refute_0_5408,plain,
( converse(join(one,complement(converse(complement(one))))) != converse(one)
| converse(one) != one
| converse(join(one,complement(converse(complement(one))))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,complement(converse(complement(one))))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_5409,plain,
( converse(one) != one
| converse(join(one,complement(converse(complement(one))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(one))))),converse(one)) )],[refute_0_5407,refute_0_5408]) ).
cnf(refute_0_5410,plain,
converse(join(one,complement(converse(complement(one))))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_5409]) ).
cnf(refute_0_5411,plain,
( converse(join(one,complement(converse(complement(one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| converse(join(one,complement(converse(complement(one))))) != one
| one = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5412,plain,
( converse(join(one,complement(converse(complement(one))))) != join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| one = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(one))))),one) )],[refute_0_5410,refute_0_5411]) ).
cnf(refute_0_5413,plain,
one = join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) )],[refute_0_5297,refute_0_5412]) ).
cnf(refute_0_5414,plain,
( one != join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))]]) ).
cnf(refute_0_5415,plain,
join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) )],[refute_0_5413,refute_0_5414]) ).
cnf(refute_0_5416,plain,
( converse(join(X_494,join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))
| join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))) != one
| converse(join(X_494,one)) = converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_494,join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))) ),[0,0,1],$fot(one)]]) ).
cnf(refute_0_5417,plain,
( converse(join(X_494,join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))
| converse(join(X_494,one)) = converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),one) )],[refute_0_5415,refute_0_5416]) ).
cnf(refute_0_5418,plain,
converse(join(X_494,one)) = converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),
inference(resolve,[$cnf( $equal(converse(join(X_494,join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))) )],[refute_0_5289,refute_0_5417]) ).
cnf(refute_0_5419,plain,
( converse(join(X_494,one)) != converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))
| converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(X_494,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_494,one)))),bind(Y,$fot(converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))))]]) ).
cnf(refute_0_5420,plain,
converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(X_494,one)),
inference(resolve,[$cnf( $equal(converse(join(X_494,one)),converse(join(one,join(X_494,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))) )],[refute_0_5418,refute_0_5419]) ).
cnf(refute_0_5421,plain,
converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(complement(converse(complement(converse(complement(one))))),one)),
inference(subst,[],[refute_0_5420:[bind(X_494,$fot(complement(converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_5422,plain,
( converse(join(complement(converse(complement(converse(complement(one))))),one)) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != converse(join(complement(converse(complement(converse(complement(one))))),one))
| converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))),bind(Y,$fot(converse(join(complement(converse(complement(converse(complement(one))))),one)))),bind(Z,$fot(converse(join(one,complement(converse(complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_5423,plain,
( converse(join(complement(converse(complement(converse(complement(one))))),one)) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),converse(join(complement(converse(complement(converse(complement(one))))),one))) )],[refute_0_5421,refute_0_5422]) ).
cnf(refute_0_5424,plain,
converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(converse(complement(one))))),one)),converse(join(one,complement(converse(complement(converse(complement(one)))))))) )],[refute_0_5288,refute_0_5423]) ).
cnf(refute_0_5425,plain,
converse(join(X_102,join(X1,X_101))) = converse(join(X_101,join(X_102,X1))),
inference(subst,[],[refute_0_3357:[bind(X0,$fot(X_102))]]) ).
cnf(refute_0_5426,plain,
( converse(join(X_102,join(X1,X_101))) != converse(join(X_101,join(X_102,X1)))
| converse(join(X_101,join(X_102,X1))) = converse(join(X_102,join(X1,X_101))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_102,join(X1,X_101))))),bind(Y,$fot(converse(join(X_101,join(X_102,X1)))))]]) ).
cnf(refute_0_5427,plain,
converse(join(X_101,join(X_102,X1))) = converse(join(X_102,join(X1,X_101))),
inference(resolve,[$cnf( $equal(converse(join(X_102,join(X1,X_101))),converse(join(X_101,join(X_102,X1)))) )],[refute_0_5425,refute_0_5426]) ).
cnf(refute_0_5428,plain,
( converse(join(X_101,join(X_102,X1))) != converse(join(X_102,join(X1,X_101)))
| converse(join(X_102,join(X_101,X1))) != converse(join(X_101,join(X_102,X1)))
| converse(join(X_102,join(X_101,X1))) = converse(join(X_102,join(X1,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_102,join(X_101,X1))),converse(join(X_101,join(X_102,X1)))) ),[1],$fot(converse(join(X_102,join(X1,X_101))))]]) ).
cnf(refute_0_5429,plain,
( converse(join(X_102,join(X_101,X1))) != converse(join(X_101,join(X_102,X1)))
| converse(join(X_102,join(X_101,X1))) = converse(join(X_102,join(X1,X_101))) ),
inference(resolve,[$cnf( $equal(converse(join(X_101,join(X_102,X1))),converse(join(X_102,join(X1,X_101)))) )],[refute_0_5427,refute_0_5428]) ).
cnf(refute_0_5430,plain,
converse(join(X_102,join(X_101,X1))) = converse(join(X_102,join(X1,X_101))),
inference(resolve,[$cnf( $equal(converse(join(X_102,join(X_101,X1))),converse(join(X_101,join(X_102,X1)))) )],[refute_0_3106,refute_0_5429]) ).
cnf(refute_0_5431,plain,
( converse(join(X_102,join(X_101,X1))) != converse(join(X_102,join(X1,X_101)))
| converse(join(X_102,join(X1,X_101))) = converse(join(X_102,join(X_101,X1))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_102,join(X_101,X1))))),bind(Y,$fot(converse(join(X_102,join(X1,X_101)))))]]) ).
cnf(refute_0_5432,plain,
converse(join(X_102,join(X1,X_101))) = converse(join(X_102,join(X_101,X1))),
inference(resolve,[$cnf( $equal(converse(join(X_102,join(X_101,X1))),converse(join(X_102,join(X1,X_101)))) )],[refute_0_5430,refute_0_5431]) ).
cnf(refute_0_5433,plain,
converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))) = converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),
inference(subst,[],[refute_0_5432:[bind(X1,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),bind(X_101,$fot(complement(converse(complement(converse(complement(one))))))),bind(X_102,$fot(one))]]) ).
cnf(refute_0_5434,plain,
( converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))) != converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))
| converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))))),bind(Y,$fot(converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))),bind(Z,$fot(converse(join(one,complement(converse(complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_5435,plain,
( converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))),converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))) )],[refute_0_5433,refute_0_5434]) ).
cnf(refute_0_5436,plain,
converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(complement(converse(complement(one))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),converse(join(one,complement(converse(complement(converse(complement(one)))))))) )],[refute_0_5424,refute_0_5435]) ).
cnf(refute_0_5437,plain,
converse(join(X_494,join(X_493,X_492))) = converse(join(X_493,join(X_494,X_492))),
inference(subst,[],[refute_0_3106:[bind(X1,$fot(X_492)),bind(X_101,$fot(X_493)),bind(X_102,$fot(X_494))]]) ).
cnf(refute_0_5438,plain,
join(X_492,X_493) = join(X_493,X_492),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_492)),bind(X1,$fot(X_493))]]) ).
cnf(refute_0_5439,plain,
( join(X_492,X_493) != join(X_493,X_492)
| join(X_493,X_492) = join(X_492,X_493) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_492,X_493))),bind(Y,$fot(join(X_493,X_492)))]]) ).
cnf(refute_0_5440,plain,
join(X_493,X_492) = join(X_492,X_493),
inference(resolve,[$cnf( $equal(join(X_492,X_493),join(X_493,X_492)) )],[refute_0_5438,refute_0_5439]) ).
cnf(refute_0_5441,plain,
( converse(join(X_494,join(X_493,X_492))) != converse(join(X_493,join(X_494,X_492)))
| join(X_493,X_492) != join(X_492,X_493)
| converse(join(X_494,join(X_492,X_493))) = converse(join(X_493,join(X_494,X_492))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_494,join(X_493,X_492))),converse(join(X_493,join(X_494,X_492)))) ),[0,0,1],$fot(join(X_492,X_493))]]) ).
cnf(refute_0_5442,plain,
( converse(join(X_494,join(X_493,X_492))) != converse(join(X_493,join(X_494,X_492)))
| converse(join(X_494,join(X_492,X_493))) = converse(join(X_493,join(X_494,X_492))) ),
inference(resolve,[$cnf( $equal(join(X_493,X_492),join(X_492,X_493)) )],[refute_0_5440,refute_0_5441]) ).
cnf(refute_0_5443,plain,
converse(join(X_494,join(X_492,X_493))) = converse(join(X_493,join(X_494,X_492))),
inference(resolve,[$cnf( $equal(converse(join(X_494,join(X_493,X_492))),converse(join(X_493,join(X_494,X_492)))) )],[refute_0_5437,refute_0_5442]) ).
cnf(refute_0_5444,plain,
( converse(join(X_494,join(X_492,X_493))) != converse(join(X_493,join(X_494,X_492)))
| converse(join(X_493,join(X_494,X_492))) = converse(join(X_494,join(X_492,X_493))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_494,join(X_492,X_493))))),bind(Y,$fot(converse(join(X_493,join(X_494,X_492)))))]]) ).
cnf(refute_0_5445,plain,
converse(join(X_493,join(X_494,X_492))) = converse(join(X_494,join(X_492,X_493))),
inference(resolve,[$cnf( $equal(converse(join(X_494,join(X_492,X_493))),converse(join(X_493,join(X_494,X_492)))) )],[refute_0_5443,refute_0_5444]) ).
cnf(refute_0_5446,plain,
converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))),
inference(subst,[],[refute_0_5445:[bind(X_492,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),bind(X_493,$fot(complement(converse(complement(converse(complement(one))))))),bind(X_494,$fot(one))]]) ).
cnf(refute_0_5447,plain,
( converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one))))))))
| converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))),bind(Y,$fot(converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))))),bind(Z,$fot(converse(join(one,complement(converse(complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_5448,plain,
( converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one))))))))) )],[refute_0_5446,refute_0_5447]) ).
cnf(refute_0_5449,plain,
converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),complement(converse(complement(converse(complement(one)))))))),converse(join(one,complement(converse(complement(converse(complement(one)))))))) )],[refute_0_5436,refute_0_5448]) ).
cnf(refute_0_5450,plain,
converse(join(X_101,join(X_102,X1))) = converse(join(X1,join(X_101,X_102))),
inference(subst,[],[refute_0_3357:[bind(X0,$fot(X_101)),bind(X1,$fot(X_102)),bind(X_101,$fot(X1))]]) ).
cnf(refute_0_5451,plain,
( converse(join(X_101,join(X_102,X1))) != converse(join(X1,join(X_101,X_102)))
| converse(join(X_102,join(X_101,X1))) != converse(join(X_101,join(X_102,X1)))
| converse(join(X_102,join(X_101,X1))) = converse(join(X1,join(X_101,X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_102,join(X_101,X1))),converse(join(X_101,join(X_102,X1)))) ),[1],$fot(converse(join(X1,join(X_101,X_102))))]]) ).
cnf(refute_0_5452,plain,
( converse(join(X_102,join(X_101,X1))) != converse(join(X_101,join(X_102,X1)))
| converse(join(X_102,join(X_101,X1))) = converse(join(X1,join(X_101,X_102))) ),
inference(resolve,[$cnf( $equal(converse(join(X_101,join(X_102,X1))),converse(join(X1,join(X_101,X_102)))) )],[refute_0_5450,refute_0_5451]) ).
cnf(refute_0_5453,plain,
converse(join(X_102,join(X_101,X1))) = converse(join(X1,join(X_101,X_102))),
inference(resolve,[$cnf( $equal(converse(join(X_102,join(X_101,X1))),converse(join(X_101,join(X_102,X1)))) )],[refute_0_3106,refute_0_5452]) ).
cnf(refute_0_5454,plain,
( converse(join(X_102,join(X_101,X1))) != converse(join(X1,join(X_101,X_102)))
| converse(join(X1,join(X_101,X_102))) = converse(join(X_102,join(X_101,X1))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_102,join(X_101,X1))))),bind(Y,$fot(converse(join(X1,join(X_101,X_102)))))]]) ).
cnf(refute_0_5455,plain,
converse(join(X1,join(X_101,X_102))) = converse(join(X_102,join(X_101,X1))),
inference(resolve,[$cnf( $equal(converse(join(X_102,join(X_101,X1))),converse(join(X1,join(X_101,X_102)))) )],[refute_0_5453,refute_0_5454]) ).
cnf(refute_0_5456,plain,
converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) = converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),
inference(subst,[],[refute_0_5455:[bind(X1,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))),bind(X_101,$fot(one)),bind(X_102,$fot(complement(converse(complement(converse(complement(one)))))))]]) ).
cnf(refute_0_5457,plain,
( converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) != converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))
| converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))))),bind(Y,$fot(converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))))),bind(Z,$fot(converse(join(one,complement(converse(complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_5458,plain,
( converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))),converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))))) )],[refute_0_5456,refute_0_5457]) ).
cnf(refute_0_5459,plain,
converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) = converse(join(one,complement(converse(complement(converse(complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(converse(complement(one))))),join(one,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))))),converse(join(one,complement(converse(complement(converse(complement(one)))))))) )],[refute_0_5449,refute_0_5458]) ).
cnf(refute_0_5460,plain,
( converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) != converse(join(one,complement(converse(complement(converse(complement(one)))))))
| converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) != top
| converse(join(one,complement(converse(complement(converse(complement(one))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))),top) ),[0],$fot(converse(join(one,complement(converse(complement(converse(complement(one))))))))]]) ).
cnf(refute_0_5461,plain,
( converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))) != top
| converse(join(one,complement(converse(complement(converse(complement(one))))))) = top ),
inference(resolve,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))),converse(join(one,complement(converse(complement(converse(complement(one)))))))) )],[refute_0_5459,refute_0_5460]) ).
cnf(refute_0_5462,plain,
converse(join(one,complement(converse(complement(converse(complement(one))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),join(one,complement(converse(complement(converse(complement(one)))))))),top) )],[refute_0_3950,refute_0_5461]) ).
cnf(refute_0_5463,plain,
( converse(complement(converse(complement(one)))) != meet(converse(complement(converse(complement(one)))),converse(join(one,complement(converse(join(one,complement(converse(complement(converse(complement(one)))))))))))
| converse(join(one,complement(converse(complement(converse(complement(one))))))) != top
| converse(complement(converse(complement(one)))) = meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(one)))),meet(converse(complement(converse(complement(one)))),converse(join(one,complement(converse(join(one,complement(converse(complement(converse(complement(one)))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_5464,plain,
( converse(complement(converse(complement(one)))) != meet(converse(complement(converse(complement(one)))),converse(join(one,complement(converse(join(one,complement(converse(complement(converse(complement(one)))))))))))
| converse(complement(converse(complement(one)))) = meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(complement(converse(complement(one))))))),top) )],[refute_0_5462,refute_0_5463]) ).
cnf(refute_0_5465,plain,
converse(complement(converse(complement(one)))) = meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(one)))),meet(converse(complement(converse(complement(one)))),converse(join(one,complement(converse(join(one,complement(converse(complement(converse(complement(one)))))))))))) )],[refute_0_3844,refute_0_5464]) ).
cnf(refute_0_5466,plain,
X_31 = join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(join(complement(X_31),converse(complement(converse(complement(X_31))))))),
inference(subst,[],[refute_0_147:[bind(X0,$fot(X_31)),bind(X1,$fot(converse(complement(converse(complement(X_31))))))]]) ).
cnf(refute_0_5467,plain,
converse(top) = join(complement(X_31),converse(complement(converse(complement(X_31))))),
inference(subst,[],[refute_0_420:[bind(X_10,$fot(complement(X_31)))]]) ).
cnf(refute_0_5468,plain,
( converse(top) != join(complement(X_31),converse(complement(converse(complement(X_31)))))
| join(complement(X_31),converse(complement(converse(complement(X_31))))) = converse(top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_31),converse(complement(converse(complement(X_31)))))))]]) ).
cnf(refute_0_5469,plain,
join(complement(X_31),converse(complement(converse(complement(X_31))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_31),converse(complement(converse(complement(X_31)))))) )],[refute_0_5467,refute_0_5468]) ).
cnf(refute_0_5470,plain,
( X_31 != join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(join(complement(X_31),converse(complement(converse(complement(X_31)))))))
| join(complement(X_31),converse(complement(converse(complement(X_31))))) != converse(top)
| X_31 = join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_31,join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(join(complement(X_31),converse(complement(converse(complement(X_31)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_5471,plain,
( X_31 != join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(join(complement(X_31),converse(complement(converse(complement(X_31)))))))
| X_31 = join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_31),converse(complement(converse(complement(X_31))))),converse(top)) )],[refute_0_5469,refute_0_5470]) ).
cnf(refute_0_5472,plain,
X_31 = join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(join(complement(X_31),converse(complement(converse(complement(X_31)))))))) )],[refute_0_5466,refute_0_5471]) ).
cnf(refute_0_5473,plain,
join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top))) = join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_31,converse(complement(converse(complement(X_31)))))))]]) ).
cnf(refute_0_5474,plain,
( X_31 != join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top)))
| join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top))) != join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))
| X_31 = join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_31,join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))) ),[0],$fot(join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top))))]]) ).
cnf(refute_0_5475,plain,
( X_31 != join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top)))
| X_31 = join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top))),join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))) )],[refute_0_5473,refute_0_5474]) ).
cnf(refute_0_5476,plain,
X_31 = join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))),
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,converse(complement(converse(complement(X_31))))),complement(converse(top)))) )],[refute_0_5472,refute_0_5475]) ).
cnf(refute_0_5477,plain,
join(zero,meet(X_31,converse(complement(converse(complement(X_31)))))) = meet(X_31,converse(complement(converse(complement(X_31))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(X_31,converse(complement(converse(complement(X_31)))))))]]) ).
cnf(refute_0_5478,plain,
join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) = join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))))]]) ).
cnf(refute_0_5479,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) != join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))
| join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) = join(zero,meet(X_31,converse(complement(converse(complement(X_31)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))),join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5480,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) = join(zero,meet(X_31,converse(complement(converse(complement(X_31)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))),join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))) )],[refute_0_5478,refute_0_5479]) ).
cnf(refute_0_5481,plain,
join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) = join(zero,meet(X_31,converse(complement(converse(complement(X_31)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_5480]) ).
cnf(refute_0_5482,plain,
( join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) != join(zero,meet(X_31,converse(complement(converse(complement(X_31))))))
| join(zero,meet(X_31,converse(complement(converse(complement(X_31)))))) != meet(X_31,converse(complement(converse(complement(X_31)))))
| join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) = meet(X_31,converse(complement(converse(complement(X_31))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))))),bind(Y,$fot(join(zero,meet(X_31,converse(complement(converse(complement(X_31)))))))),bind(Z,$fot(meet(X_31,converse(complement(converse(complement(X_31)))))))]]) ).
cnf(refute_0_5483,plain,
( join(zero,meet(X_31,converse(complement(converse(complement(X_31)))))) != meet(X_31,converse(complement(converse(complement(X_31)))))
| join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) = meet(X_31,converse(complement(converse(complement(X_31))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))),join(zero,meet(X_31,converse(complement(converse(complement(X_31))))))) )],[refute_0_5481,refute_0_5482]) ).
cnf(refute_0_5484,plain,
join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) = meet(X_31,converse(complement(converse(complement(X_31))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_31,converse(complement(converse(complement(X_31)))))),meet(X_31,converse(complement(converse(complement(X_31)))))) )],[refute_0_5477,refute_0_5483]) ).
cnf(refute_0_5485,plain,
( X_31 != join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))
| join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))) != meet(X_31,converse(complement(converse(complement(X_31)))))
| X_31 = meet(X_31,converse(complement(converse(complement(X_31))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_31,meet(X_31,converse(complement(converse(complement(X_31)))))) ),[0],$fot(join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))))]]) ).
cnf(refute_0_5486,plain,
( X_31 != join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))
| X_31 = meet(X_31,converse(complement(converse(complement(X_31))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31)))))),meet(X_31,converse(complement(converse(complement(X_31)))))) )],[refute_0_5484,refute_0_5485]) ).
cnf(refute_0_5487,plain,
X_31 = meet(X_31,converse(complement(converse(complement(X_31))))),
inference(resolve,[$cnf( $equal(X_31,join(complement(converse(top)),meet(X_31,converse(complement(converse(complement(X_31))))))) )],[refute_0_5476,refute_0_5486]) ).
cnf(refute_0_5488,plain,
( X_31 != meet(X_31,converse(complement(converse(complement(X_31)))))
| meet(X_31,converse(complement(converse(complement(X_31))))) = X_31 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_31)),bind(Y,$fot(meet(X_31,converse(complement(converse(complement(X_31)))))))]]) ).
cnf(refute_0_5489,plain,
meet(X_31,converse(complement(converse(complement(X_31))))) = X_31,
inference(resolve,[$cnf( $equal(X_31,meet(X_31,converse(complement(converse(complement(X_31)))))) )],[refute_0_5487,refute_0_5488]) ).
cnf(refute_0_5490,plain,
meet(one,converse(complement(converse(complement(one))))) = one,
inference(subst,[],[refute_0_5489:[bind(X_31,$fot(one))]]) ).
cnf(refute_0_5491,plain,
meet(converse(complement(converse(complement(one)))),one) = meet(one,converse(complement(converse(complement(one))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_5492,plain,
( meet(converse(complement(converse(complement(one)))),one) != meet(one,converse(complement(converse(complement(one)))))
| meet(one,converse(complement(converse(complement(one))))) != one
| meet(converse(complement(converse(complement(one)))),one) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(converse(complement(one)))),one))),bind(Y,$fot(meet(one,converse(complement(converse(complement(one))))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_5493,plain,
( meet(one,converse(complement(converse(complement(one))))) != one
| meet(converse(complement(converse(complement(one)))),one) = one ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(one)))),one),meet(one,converse(complement(converse(complement(one)))))) )],[refute_0_5491,refute_0_5492]) ).
cnf(refute_0_5494,plain,
meet(converse(complement(converse(complement(one)))),one) = one,
inference(resolve,[$cnf( $equal(meet(one,converse(complement(converse(complement(one))))),one) )],[refute_0_5490,refute_0_5493]) ).
cnf(refute_0_5495,plain,
converse(join(one,complement(top))) = converse(join(one,complement(top))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(top))))]]) ).
cnf(refute_0_5496,plain,
( converse(join(one,complement(top))) != converse(join(one,complement(top)))
| join(one,complement(top)) != one
| converse(join(one,complement(top))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(top))),converse(join(one,complement(top)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5497,plain,
( join(one,complement(top)) != one
| converse(join(one,complement(top))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),converse(join(one,complement(top)))) )],[refute_0_5495,refute_0_5496]) ).
cnf(refute_0_5498,plain,
converse(join(one,complement(top))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,complement(top)),one) )],[refute_0_2842,refute_0_5497]) ).
cnf(refute_0_5499,plain,
( converse(join(one,complement(top))) != converse(one)
| converse(one) != one
| converse(join(one,complement(top))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,complement(top))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_5500,plain,
( converse(one) != one
| converse(join(one,complement(top))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),converse(one)) )],[refute_0_5498,refute_0_5499]) ).
cnf(refute_0_5501,plain,
converse(join(one,complement(top))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_5500]) ).
cnf(refute_0_5502,plain,
meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) = meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))))]]) ).
cnf(refute_0_5503,plain,
( converse(join(one,complement(top))) != one
| meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) != meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top))))
| meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) = meet(converse(complement(converse(complement(one)))),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))),meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_5504,plain,
( converse(join(one,complement(top))) != one
| meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) = meet(converse(complement(converse(complement(one)))),one) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))),meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top))))) )],[refute_0_5502,refute_0_5503]) ).
cnf(refute_0_5505,plain,
meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) = meet(converse(complement(converse(complement(one)))),one),
inference(resolve,[$cnf( $equal(converse(join(one,complement(top))),one) )],[refute_0_5501,refute_0_5504]) ).
cnf(refute_0_5506,plain,
( meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) != meet(converse(complement(converse(complement(one)))),one)
| meet(converse(complement(converse(complement(one)))),one) != one
| meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))))),bind(Y,$fot(meet(converse(complement(converse(complement(one)))),one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_5507,plain,
( meet(converse(complement(converse(complement(one)))),one) != one
| meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) = one ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))),meet(converse(complement(converse(complement(one)))),one)) )],[refute_0_5505,refute_0_5506]) ).
cnf(refute_0_5508,plain,
meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) = one,
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(one)))),one),one) )],[refute_0_5494,refute_0_5507]) ).
cnf(refute_0_5509,plain,
( converse(complement(converse(complement(one)))) != meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top))))
| meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))) != one
| converse(complement(converse(complement(one)))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(one)))),one) ),[0],$fot(meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))))]]) ).
cnf(refute_0_5510,plain,
( converse(complement(converse(complement(one)))) != meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top))))
| converse(complement(converse(complement(one)))) = one ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top)))),one) )],[refute_0_5508,refute_0_5509]) ).
cnf(refute_0_5511,plain,
converse(complement(converse(complement(one)))) = one,
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(one)))),meet(converse(complement(converse(complement(one)))),converse(join(one,complement(top))))) )],[refute_0_5465,refute_0_5510]) ).
cnf(refute_0_5512,plain,
( converse(complement(converse(complement(one)))) != one
| converse(converse(complement(converse(complement(one))))) != complement(converse(complement(one)))
| converse(one) = complement(converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(complement(one))))),complement(converse(complement(one)))) ),[0,0],$fot(one)]]) ).
cnf(refute_0_5513,plain,
( converse(converse(complement(converse(complement(one))))) != complement(converse(complement(one)))
| converse(one) = complement(converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(one)))),one) )],[refute_0_5511,refute_0_5512]) ).
cnf(refute_0_5514,plain,
converse(one) = complement(converse(complement(one))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(one))))),complement(converse(complement(one)))) )],[refute_0_3643,refute_0_5513]) ).
cnf(refute_0_5515,plain,
( converse(one) != complement(converse(complement(one)))
| converse(one) != one
| one = complement(converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(one),complement(converse(complement(one)))) ),[0],$fot(one)]]) ).
cnf(refute_0_5516,plain,
( converse(one) != complement(converse(complement(one)))
| one = complement(converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_5515]) ).
cnf(refute_0_5517,plain,
one = complement(converse(complement(one))),
inference(resolve,[$cnf( $equal(converse(one),complement(converse(complement(one)))) )],[refute_0_5514,refute_0_5516]) ).
cnf(refute_0_5518,plain,
( one != complement(converse(complement(one)))
| complement(converse(complement(one))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_5519,plain,
complement(converse(complement(one))) = one,
inference(resolve,[$cnf( $equal(one,complement(converse(complement(one)))) )],[refute_0_5517,refute_0_5518]) ).
cnf(refute_0_5520,plain,
( complement(converse(complement(one))) != one
| converse(complement(one)) != complement(complement(converse(complement(one))))
| converse(complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),complement(complement(converse(complement(one))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5521,plain,
( converse(complement(one)) != complement(complement(converse(complement(one))))
| converse(complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_5519,refute_0_5520]) ).
cnf(refute_0_5522,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(complement(converse(complement(one))))) )],[refute_0_3642,refute_0_5521]) ).
cnf(refute_0_5523,plain,
meet(one,converse(complement(one))) = meet(one,converse(complement(one))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_5524,plain,
( converse(complement(one)) != complement(one)
| meet(one,converse(complement(one))) != meet(one,converse(complement(one)))
| meet(one,converse(complement(one))) = meet(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(one))),meet(one,converse(complement(one)))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_5525,plain,
( converse(complement(one)) != complement(one)
| meet(one,converse(complement(one))) = meet(one,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),meet(one,converse(complement(one)))) )],[refute_0_5523,refute_0_5524]) ).
cnf(refute_0_5526,plain,
meet(one,converse(complement(one))) = meet(one,complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_5522,refute_0_5525]) ).
cnf(refute_0_5527,plain,
( meet(one,complement(one)) != zero
| meet(one,converse(complement(one))) != meet(one,complement(one))
| meet(one,converse(complement(one))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(one,converse(complement(one))))),bind(Y,$fot(meet(one,complement(one)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5528,plain,
( meet(one,complement(one)) != zero
| meet(one,converse(complement(one))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),meet(one,complement(one))) )],[refute_0_5526,refute_0_5527]) ).
cnf(refute_0_5529,plain,
meet(one,converse(complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(one)),zero) )],[refute_0_3641,refute_0_5528]) ).
cnf(refute_0_5530,plain,
meet(complement(one),meet(one,converse(complement(one)))) = meet(complement(one),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_5531,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != meet(complement(one),meet(one,converse(complement(one))))
| meet(one,converse(complement(one))) != zero
| meet(complement(one),meet(one,converse(complement(one)))) = meet(complement(one),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),meet(one,converse(complement(one)))),meet(complement(one),meet(one,converse(complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5532,plain,
( meet(one,converse(complement(one))) != zero
| meet(complement(one),meet(one,converse(complement(one)))) = meet(complement(one),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,converse(complement(one)))),meet(complement(one),meet(one,converse(complement(one))))) )],[refute_0_5530,refute_0_5531]) ).
cnf(refute_0_5533,plain,
meet(complement(one),meet(one,converse(complement(one)))) = meet(complement(one),zero),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),zero) )],[refute_0_5529,refute_0_5532]) ).
cnf(refute_0_5534,plain,
meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(converse(complement(one)),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_5535,plain,
( converse(complement(one)) != complement(one)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) != meet(converse(complement(one)),meet(one,converse(complement(one))))
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),meet(converse(complement(one)),meet(one,converse(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_5536,plain,
( converse(complement(one)) != complement(one)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),meet(converse(complement(one)),meet(one,converse(complement(one))))) )],[refute_0_5534,refute_0_5535]) ).
cnf(refute_0_5537,plain,
meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_5522,refute_0_5536]) ).
cnf(refute_0_5538,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != meet(complement(one),zero)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) != meet(complement(one),meet(one,converse(complement(one))))
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))),bind(Y,$fot(meet(complement(one),meet(one,converse(complement(one)))))),bind(Z,$fot(meet(complement(one),zero)))]]) ).
cnf(refute_0_5539,plain,
( meet(complement(one),meet(one,converse(complement(one)))) != meet(complement(one),zero)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),zero) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),meet(complement(one),meet(one,converse(complement(one))))) )],[refute_0_5537,refute_0_5538]) ).
cnf(refute_0_5540,plain,
meet(converse(complement(one)),meet(one,converse(complement(one)))) = meet(complement(one),zero),
inference(resolve,[$cnf( $equal(meet(complement(one),meet(one,converse(complement(one)))),meet(complement(one),zero)) )],[refute_0_5533,refute_0_5539]) ).
cnf(refute_0_5541,plain,
( meet(complement(one),zero) != zero
| meet(converse(complement(one)),meet(one,converse(complement(one)))) != meet(complement(one),zero)
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(one)),meet(one,converse(complement(one)))))),bind(Y,$fot(meet(complement(one),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_5542,plain,
( meet(complement(one),zero) != zero
| meet(converse(complement(one)),meet(one,converse(complement(one)))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),meet(complement(one),zero)) )],[refute_0_5540,refute_0_5541]) ).
cnf(refute_0_5543,plain,
meet(converse(complement(one)),meet(one,converse(complement(one)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(one),zero),zero) )],[refute_0_3640,refute_0_5542]) ).
cnf(refute_0_5544,plain,
join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) = join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_5545,plain,
( join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) != join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))
| meet(converse(complement(one)),meet(one,converse(complement(one)))) != zero
| join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) = join(X_494,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_5546,plain,
( meet(converse(complement(one)),meet(one,converse(complement(one)))) != zero
| join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) = join(X_494,zero) ),
inference(resolve,[$cnf( $equal(join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) )],[refute_0_5544,refute_0_5545]) ).
cnf(refute_0_5547,plain,
join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) = join(X_494,zero),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),meet(one,converse(complement(one)))),zero) )],[refute_0_5543,refute_0_5546]) ).
cnf(refute_0_5548,plain,
( join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) != join(X_494,zero)
| join(X_494,zero) != X_494
| join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) = X_494 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))),bind(Y,$fot(join(X_494,zero))),bind(Z,$fot(X_494))]]) ).
cnf(refute_0_5549,plain,
( join(X_494,zero) != X_494
| join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) = X_494 ),
inference(resolve,[$cnf( $equal(join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))),join(X_494,zero)) )],[refute_0_5547,refute_0_5548]) ).
cnf(refute_0_5550,plain,
join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) = X_494,
inference(resolve,[$cnf( $equal(join(X_494,zero),X_494) )],[refute_0_3639,refute_0_5549]) ).
cnf(refute_0_5551,plain,
join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_5552,plain,
( join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) != X_494
| join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))
| join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(complement(one),X_494) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) ),[1,1],$fot(X_494)]]) ).
cnf(refute_0_5553,plain,
( join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))) != X_494
| join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(complement(one),X_494) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) )],[refute_0_5551,refute_0_5552]) ).
cnf(refute_0_5554,plain,
join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) = join(complement(one),X_494),
inference(resolve,[$cnf( $equal(join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))),X_494) )],[refute_0_5550,refute_0_5553]) ).
cnf(refute_0_5555,plain,
converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) = converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_5556,plain,
( converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) != converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))
| join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(complement(one),X_494)
| converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) = converse(join(complement(one),X_494)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))),converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))) ),[1,0],$fot(join(complement(one),X_494))]]) ).
cnf(refute_0_5557,plain,
( join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))) != join(complement(one),X_494)
| converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) = converse(join(complement(one),X_494)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))),converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))) )],[refute_0_5555,refute_0_5556]) ).
cnf(refute_0_5558,plain,
converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) = converse(join(complement(one),X_494)),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))),join(complement(one),X_494)) )],[refute_0_5554,refute_0_5557]) ).
cnf(refute_0_5559,plain,
( converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))) != converse(join(complement(one),X_494))
| join(complement(one),converse(X_494)) != converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))
| join(complement(one),converse(X_494)) = converse(join(complement(one),X_494)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(X_494)),converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))) ),[1],$fot(converse(join(complement(one),X_494)))]]) ).
cnf(refute_0_5560,plain,
( join(complement(one),converse(X_494)) != converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))
| join(complement(one),converse(X_494)) = converse(join(complement(one),X_494)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one))))))),converse(join(complement(one),X_494))) )],[refute_0_5558,refute_0_5559]) ).
cnf(refute_0_5561,plain,
join(complement(one),converse(X_494)) = converse(join(complement(one),X_494)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(X_494)),converse(join(complement(one),join(X_494,meet(converse(complement(one)),meet(one,converse(complement(one)))))))) )],[refute_0_3638,refute_0_5560]) ).
cnf(refute_0_5562,plain,
join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5561:[bind(X_494,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5563,plain,
( converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5564,plain,
( converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5562,refute_0_5563]) ).
cnf(refute_0_5565,plain,
join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_3305,refute_0_5564]) ).
cnf(refute_0_5566,plain,
complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_32,$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5567,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(X_55,$fot(one))]]) ).
cnf(refute_0_5568,plain,
complement(complement(one)) = join(complement(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5569,plain,
converse(top) = join(join(X_102,X_101),converse(complement(converse(join(X_102,X_101))))),
inference(subst,[],[refute_0_420:[bind(X_10,$fot(join(X_102,X_101)))]]) ).
cnf(refute_0_5570,plain,
( converse(join(X_102,X_101)) != converse(join(X_101,X_102))
| converse(top) != join(join(X_102,X_101),converse(complement(converse(join(X_102,X_101)))))
| converse(top) = join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_102,X_101),converse(complement(converse(join(X_102,X_101)))))) ),[1,1,0,0],$fot(converse(join(X_101,X_102)))]]) ).
cnf(refute_0_5571,plain,
( converse(top) != join(join(X_102,X_101),converse(complement(converse(join(X_102,X_101)))))
| converse(top) = join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_102,X_101)),converse(join(X_101,X_102))) )],[refute_0_2661,refute_0_5570]) ).
cnf(refute_0_5572,plain,
converse(top) = join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_102,X_101),converse(complement(converse(join(X_102,X_101)))))) )],[refute_0_5569,refute_0_5571]) ).
cnf(refute_0_5573,plain,
join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102))))) = join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102)))))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_102)),bind(X1,$fot(X_101)),bind(X2,$fot(converse(complement(converse(join(X_101,X_102))))))]]) ).
cnf(refute_0_5574,plain,
( converse(top) != join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102)))))
| join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102))))) != join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102))))))
| converse(top) = join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102))))))) ),[0],$fot(join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102))))))]]) ).
cnf(refute_0_5575,plain,
( converse(top) != join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102)))))
| converse(top) = join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102))))),join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102))))))) )],[refute_0_5573,refute_0_5574]) ).
cnf(refute_0_5576,plain,
converse(top) = join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_102,X_101),converse(complement(converse(join(X_101,X_102)))))) )],[refute_0_5572,refute_0_5575]) ).
cnf(refute_0_5577,plain,
( converse(top) != join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102))))))
| converse(top) != top
| top = join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5578,plain,
( converse(top) != join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102))))))
| top = join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102)))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_5577]) ).
cnf(refute_0_5579,plain,
top = join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_102,join(X_101,converse(complement(converse(join(X_101,X_102))))))) )],[refute_0_5576,refute_0_5578]) ).
cnf(refute_0_5580,plain,
top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_5579:[bind(X_101,$fot(converse(join(X_493,complement(skolemFOFtoCNF_X0))))),bind(X_102,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5581,plain,
converse(join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_3106:[bind(X1,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_101,$fot(X_493)),bind(X_102,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5582,plain,
join(X0,join(X1,join(X_197,complement(X1)))) = join(join(X0,X1),join(X_197,complement(X1))),
inference(subst,[],[refute_0_46:[bind(X2,$fot(join(X_197,complement(X1))))]]) ).
cnf(refute_0_5583,plain,
join(X1,join(X_197,complement(X1))) = top,
inference(subst,[],[refute_0_3457:[bind(X_31,$fot(X1)),bind(X_65,$fot(X_197))]]) ).
cnf(refute_0_5584,plain,
( join(X0,join(X1,join(X_197,complement(X1)))) != join(join(X0,X1),join(X_197,complement(X1)))
| join(X1,join(X_197,complement(X1))) != top
| join(X0,top) = join(join(X0,X1),join(X_197,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_197,complement(X1)))),join(join(X0,X1),join(X_197,complement(X1)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_5585,plain,
( join(X0,join(X1,join(X_197,complement(X1)))) != join(join(X0,X1),join(X_197,complement(X1)))
| join(X0,top) = join(join(X0,X1),join(X_197,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_197,complement(X1))),top) )],[refute_0_5583,refute_0_5584]) ).
cnf(refute_0_5586,plain,
join(X0,top) = join(join(X0,X1),join(X_197,complement(X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_197,complement(X1)))),join(join(X0,X1),join(X_197,complement(X1)))) )],[refute_0_5582,refute_0_5585]) ).
cnf(refute_0_5587,plain,
( join(X0,top) != join(join(X0,X1),join(X_197,complement(X1)))
| join(X0,top) != top
| top = join(join(X0,X1),join(X_197,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,top),join(join(X0,X1),join(X_197,complement(X1)))) ),[0],$fot(top)]]) ).
cnf(refute_0_5588,plain,
( join(X0,top) != join(join(X0,X1),join(X_197,complement(X1)))
| top = join(join(X0,X1),join(X_197,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(X0,top),top) )],[refute_0_3441,refute_0_5587]) ).
cnf(refute_0_5589,plain,
join(join(X0,X1),X_197) = join(X0,join(X1,X_197)),
inference(subst,[],[refute_0_437:[bind(X2,$fot(X_197))]]) ).
cnf(refute_0_5590,plain,
join(complement(X1),join(join(X0,X1),X_197)) = join(complement(X1),join(join(X0,X1),X_197)),
introduced(tautology,[refl,[$fot(join(complement(X1),join(join(X0,X1),X_197)))]]) ).
cnf(refute_0_5591,plain,
( join(complement(X1),join(join(X0,X1),X_197)) != join(complement(X1),join(join(X0,X1),X_197))
| join(join(X0,X1),X_197) != join(X0,join(X1,X_197))
| join(complement(X1),join(join(X0,X1),X_197)) = join(complement(X1),join(X0,join(X1,X_197))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),join(join(X0,X1),X_197)),join(complement(X1),join(join(X0,X1),X_197))) ),[1,1],$fot(join(X0,join(X1,X_197)))]]) ).
cnf(refute_0_5592,plain,
( join(join(X0,X1),X_197) != join(X0,join(X1,X_197))
| join(complement(X1),join(join(X0,X1),X_197)) = join(complement(X1),join(X0,join(X1,X_197))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),join(join(X0,X1),X_197)),join(complement(X1),join(join(X0,X1),X_197))) )],[refute_0_5590,refute_0_5591]) ).
cnf(refute_0_5593,plain,
join(complement(X1),join(join(X0,X1),X_197)) = join(complement(X1),join(X0,join(X1,X_197))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_197),join(X0,join(X1,X_197))) )],[refute_0_5589,refute_0_5592]) ).
cnf(refute_0_5594,plain,
join(join(X0,X1),join(X_197,complement(X1))) = join(complement(X1),join(join(X0,X1),X_197)),
inference(subst,[],[refute_0_4145:[bind(X_179,$fot(complement(X1))),bind(X_180,$fot(X_197)),bind(X_9,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5595,plain,
( join(complement(X1),join(join(X0,X1),X_197)) != join(complement(X1),join(X0,join(X1,X_197)))
| join(join(X0,X1),join(X_197,complement(X1))) != join(complement(X1),join(join(X0,X1),X_197))
| join(join(X0,X1),join(X_197,complement(X1))) = join(complement(X1),join(X0,join(X1,X_197))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,X1),join(X_197,complement(X1))))),bind(Y,$fot(join(complement(X1),join(join(X0,X1),X_197)))),bind(Z,$fot(join(complement(X1),join(X0,join(X1,X_197)))))]]) ).
cnf(refute_0_5596,plain,
( join(complement(X1),join(join(X0,X1),X_197)) != join(complement(X1),join(X0,join(X1,X_197)))
| join(join(X0,X1),join(X_197,complement(X1))) = join(complement(X1),join(X0,join(X1,X_197))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_197,complement(X1))),join(complement(X1),join(join(X0,X1),X_197))) )],[refute_0_5594,refute_0_5595]) ).
cnf(refute_0_5597,plain,
join(join(X0,X1),join(X_197,complement(X1))) = join(complement(X1),join(X0,join(X1,X_197))),
inference(resolve,[$cnf( $equal(join(complement(X1),join(join(X0,X1),X_197)),join(complement(X1),join(X0,join(X1,X_197)))) )],[refute_0_5593,refute_0_5596]) ).
cnf(refute_0_5598,plain,
( join(join(X0,X1),join(X_197,complement(X1))) != join(complement(X1),join(X0,join(X1,X_197)))
| top != join(join(X0,X1),join(X_197,complement(X1)))
| top = join(complement(X1),join(X0,join(X1,X_197))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X0,X1),join(X_197,complement(X1)))) ),[1],$fot(join(complement(X1),join(X0,join(X1,X_197))))]]) ).
cnf(refute_0_5599,plain,
( top != join(join(X0,X1),join(X_197,complement(X1)))
| top = join(complement(X1),join(X0,join(X1,X_197))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_197,complement(X1))),join(complement(X1),join(X0,join(X1,X_197)))) )],[refute_0_5597,refute_0_5598]) ).
cnf(refute_0_5600,plain,
( join(X0,top) != join(join(X0,X1),join(X_197,complement(X1)))
| top = join(complement(X1),join(X0,join(X1,X_197))) ),
inference(resolve,[$cnf( $equal(top,join(join(X0,X1),join(X_197,complement(X1)))) )],[refute_0_5588,refute_0_5599]) ).
cnf(refute_0_5601,plain,
top = join(complement(X1),join(X0,join(X1,X_197))),
inference(resolve,[$cnf( $equal(join(X0,top),join(join(X0,X1),join(X_197,complement(X1)))) )],[refute_0_5586,refute_0_5600]) ).
cnf(refute_0_5602,plain,
top = join(complement(skolemFOFtoCNF_X0),join(X_358,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_5601:[bind(X0,$fot(X_358)),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_197,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5603,plain,
converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_55,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5604,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X_32,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5605,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_3900:[bind(X2,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5606,plain,
top = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_3110:[bind(X_10,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5607,plain,
( top != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5608,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5606,refute_0_5607]) ).
cnf(refute_0_5609,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != top
| join(complement(one),top) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_5610,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(one),top) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),top) )],[refute_0_5608,refute_0_5609]) ).
cnf(refute_0_5611,plain,
join(complement(one),top) = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5605,refute_0_5610]) ).
cnf(refute_0_5612,plain,
( join(complement(one),top) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(one),top) != top
| top = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),top),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5613,plain,
( join(complement(one),top) != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| top = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),top),top) )],[refute_0_4281,refute_0_5612]) ).
cnf(refute_0_5614,plain,
top = join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(one),top),join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5611,refute_0_5613]) ).
cnf(refute_0_5615,plain,
( top != join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5616,plain,
join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5614,refute_0_5615]) ).
cnf(refute_0_5617,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != top
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_5618,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),top) )],[refute_0_5616,refute_0_5617]) ).
cnf(refute_0_5619,plain,
complement(complement(skolemFOFtoCNF_X0)) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5604,refute_0_5618]) ).
cnf(refute_0_5620,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5621,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| skolemFOFtoCNF_X0 = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_5620]) ).
cnf(refute_0_5622,plain,
join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5623,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5624,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5625,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5623,refute_0_5624]) ).
cnf(refute_0_5626,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_5625]) ).
cnf(refute_0_5627,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5628,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5629,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5627,refute_0_5628]) ).
cnf(refute_0_5630,plain,
join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5626,refute_0_5629]) ).
cnf(refute_0_5631,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5632,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5633,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5631,refute_0_5632]) ).
cnf(refute_0_5634,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_5633]) ).
cnf(refute_0_5635,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5636,plain,
( join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5634,refute_0_5635]) ).
cnf(refute_0_5637,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5630,refute_0_5636]) ).
cnf(refute_0_5638,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5639,plain,
( join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5637,refute_0_5638]) ).
cnf(refute_0_5640,plain,
join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5622,refute_0_5639]) ).
cnf(refute_0_5641,plain,
( join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5642,plain,
( skolemFOFtoCNF_X0 != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5640,refute_0_5641]) ).
cnf(refute_0_5643,plain,
( complement(complement(skolemFOFtoCNF_X0)) != join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5621,refute_0_5642]) ).
cnf(refute_0_5644,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),join(complement(top),meet(complement(complement(skolemFOFtoCNF_X0)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5619,refute_0_5643]) ).
cnf(refute_0_5645,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5646,plain,
meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5644,refute_0_5645]) ).
cnf(refute_0_5647,plain,
( converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != skolemFOFtoCNF_X0
| converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5648,plain,
( converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),skolemFOFtoCNF_X0) )],[refute_0_5646,refute_0_5647]) ).
cnf(refute_0_5649,plain,
converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(meet(skolemFOFtoCNF_X0,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5603,refute_0_5648]) ).
cnf(refute_0_5650,plain,
( converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5651,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5649,refute_0_5650]) ).
cnf(refute_0_5652,plain,
( join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| top != join(complement(skolemFOFtoCNF_X0),join(X_358,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| top = join(complement(skolemFOFtoCNF_X0),join(X_358,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),join(X_358,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),[1,1,1],$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5653,plain,
( top != join(complement(skolemFOFtoCNF_X0),join(X_358,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| top = join(complement(skolemFOFtoCNF_X0),join(X_358,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5651,refute_0_5652]) ).
cnf(refute_0_5654,plain,
top = join(complement(skolemFOFtoCNF_X0),join(X_358,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),join(X_358,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5602,refute_0_5653]) ).
cnf(refute_0_5655,plain,
top = join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5654:[bind(X_358,$fot(X_493))]]) ).
cnf(refute_0_5656,plain,
( top != join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5657,plain,
join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5655,refute_0_5656]) ).
cnf(refute_0_5658,plain,
( converse(join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != top
| converse(top) = converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_5659,plain,
( converse(join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| converse(top) = converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),top) )],[refute_0_5657,refute_0_5658]) ).
cnf(refute_0_5660,plain,
converse(top) = converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),join(X_493,converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5581,refute_0_5659]) ).
cnf(refute_0_5661,plain,
( converse(top) != converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| converse(top) != top
| top = converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5662,plain,
( converse(top) != converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| top = converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_5661]) ).
cnf(refute_0_5663,plain,
converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_814:[bind(X0,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_63,$fot(X_493)),bind(X_64,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5664,plain,
( converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| top != converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| top = join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[1],$fot(join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5665,plain,
( top != converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| top = join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5663,refute_0_5664]) ).
cnf(refute_0_5666,plain,
( converse(top) != converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| top = join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(top,converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5662,refute_0_5665]) ).
cnf(refute_0_5667,plain,
top = join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(top),converse(join(X_493,join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_5660,refute_0_5666]) ).
cnf(refute_0_5668,plain,
( top != join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5669,plain,
join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5667,refute_0_5668]) ).
cnf(refute_0_5670,plain,
( join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != top
| top != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_5671,plain,
( top != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_5669,refute_0_5670]) ).
cnf(refute_0_5672,plain,
top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_5580,refute_0_5671]) ).
cnf(refute_0_5673,plain,
join(zero,X_493) = X_493,
inference(subst,[],[refute_0_178:[bind(X_31,$fot(X_493))]]) ).
cnf(refute_0_5674,plain,
join(complement(converse(top)),X_493) = join(complement(converse(top)),X_493),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),X_493))]]) ).
cnf(refute_0_5675,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),X_493) != join(complement(converse(top)),X_493)
| join(complement(converse(top)),X_493) = join(zero,X_493) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),X_493),join(complement(converse(top)),X_493)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5676,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),X_493) = join(zero,X_493) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),X_493),join(complement(converse(top)),X_493)) )],[refute_0_5674,refute_0_5675]) ).
cnf(refute_0_5677,plain,
join(complement(converse(top)),X_493) = join(zero,X_493),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_5676]) ).
cnf(refute_0_5678,plain,
( join(complement(converse(top)),X_493) != join(zero,X_493)
| join(zero,X_493) != X_493
| join(complement(converse(top)),X_493) = X_493 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),X_493))),bind(Y,$fot(join(zero,X_493))),bind(Z,$fot(X_493))]]) ).
cnf(refute_0_5679,plain,
( join(zero,X_493) != X_493
| join(complement(converse(top)),X_493) = X_493 ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),X_493),join(zero,X_493)) )],[refute_0_5677,refute_0_5678]) ).
cnf(refute_0_5680,plain,
join(complement(converse(top)),X_493) = X_493,
inference(resolve,[$cnf( $equal(join(zero,X_493),X_493) )],[refute_0_5673,refute_0_5679]) ).
cnf(refute_0_5681,plain,
join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)) = join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))]]) ).
cnf(refute_0_5682,plain,
( join(complement(converse(top)),X_493) != X_493
| join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)) != join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))
| join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)) = join(complement(skolemFOFtoCNF_X0),X_493) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)),join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) ),[1,1],$fot(X_493)]]) ).
cnf(refute_0_5683,plain,
( join(complement(converse(top)),X_493) != X_493
| join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)) = join(complement(skolemFOFtoCNF_X0),X_493) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)),join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) )],[refute_0_5681,refute_0_5682]) ).
cnf(refute_0_5684,plain,
join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)) = join(complement(skolemFOFtoCNF_X0),X_493),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),X_493),X_493) )],[refute_0_5680,refute_0_5683]) ).
cnf(refute_0_5685,plain,
converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) = converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))),
introduced(tautology,[refl,[$fot(converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))]]) ).
cnf(refute_0_5686,plain,
( converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) != converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))
| join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)) != join(complement(skolemFOFtoCNF_X0),X_493)
| converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) = converse(join(complement(skolemFOFtoCNF_X0),X_493)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) ),[1,0],$fot(join(complement(skolemFOFtoCNF_X0),X_493))]]) ).
cnf(refute_0_5687,plain,
( join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)) != join(complement(skolemFOFtoCNF_X0),X_493)
| converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) = converse(join(complement(skolemFOFtoCNF_X0),X_493)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) )],[refute_0_5685,refute_0_5686]) ).
cnf(refute_0_5688,plain,
converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) = converse(join(complement(skolemFOFtoCNF_X0),X_493)),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)),join(complement(skolemFOFtoCNF_X0),X_493)) )],[refute_0_5684,refute_0_5687]) ).
cnf(refute_0_5689,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))),
introduced(tautology,[refl,[$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))))]]) ).
cnf(refute_0_5690,plain,
( converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) != converse(join(complement(skolemFOFtoCNF_X0),X_493))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))) ),[1,1],$fot(converse(join(complement(skolemFOFtoCNF_X0),X_493)))]]) ).
cnf(refute_0_5691,plain,
( converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))) != converse(join(complement(skolemFOFtoCNF_X0),X_493))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))) )],[refute_0_5689,refute_0_5690]) ).
cnf(refute_0_5692,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))),
inference(resolve,[$cnf( $equal(converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))),converse(join(complement(skolemFOFtoCNF_X0),X_493))) )],[refute_0_5688,refute_0_5691]) ).
cnf(refute_0_5693,plain,
converse(join(converse(X0),join(X_497,join(X_498,X_499)))) = join(X0,converse(join(X_497,join(X_498,X_499)))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(join(X_497,join(X_498,X_499))))]]) ).
cnf(refute_0_5694,plain,
converse(join(X_497,join(X_498,X_499))) = converse(join(X_499,join(X_497,X_498))),
inference(subst,[],[refute_0_3357:[bind(X0,$fot(X_497)),bind(X1,$fot(X_498)),bind(X_101,$fot(X_499))]]) ).
cnf(refute_0_5695,plain,
( converse(join(X_497,join(X_498,X_499))) != converse(join(X_499,join(X_497,X_498)))
| converse(join(converse(X0),join(X_497,join(X_498,X_499)))) != join(X0,converse(join(X_497,join(X_498,X_499))))
| converse(join(converse(X0),join(X_497,join(X_498,X_499)))) = join(X0,converse(join(X_499,join(X_497,X_498)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_497,join(X_498,X_499)))),join(X0,converse(join(X_497,join(X_498,X_499))))) ),[1,1],$fot(converse(join(X_499,join(X_497,X_498))))]]) ).
cnf(refute_0_5696,plain,
( converse(join(converse(X0),join(X_497,join(X_498,X_499)))) != join(X0,converse(join(X_497,join(X_498,X_499))))
| converse(join(converse(X0),join(X_497,join(X_498,X_499)))) = join(X0,converse(join(X_499,join(X_497,X_498)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_497,join(X_498,X_499))),converse(join(X_499,join(X_497,X_498)))) )],[refute_0_5694,refute_0_5695]) ).
cnf(refute_0_5697,plain,
converse(join(converse(X0),join(X_497,join(X_498,X_499)))) = join(X0,converse(join(X_499,join(X_497,X_498)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_497,join(X_498,X_499)))),join(X0,converse(join(X_497,join(X_498,X_499))))) )],[refute_0_5693,refute_0_5696]) ).
cnf(refute_0_5698,plain,
( converse(join(converse(X0),join(X_497,join(X_498,X_499)))) != join(X0,converse(join(X_497,join(X_498,X_499))))
| converse(join(converse(X0),join(X_497,join(X_498,X_499)))) != join(X0,converse(join(X_499,join(X_497,X_498))))
| join(X0,converse(join(X_497,join(X_498,X_499)))) = join(X0,converse(join(X_499,join(X_497,X_498)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_497,join(X_498,X_499)))),join(X0,converse(join(X_499,join(X_497,X_498))))) ),[0],$fot(join(X0,converse(join(X_497,join(X_498,X_499)))))]]) ).
cnf(refute_0_5699,plain,
( converse(join(converse(X0),join(X_497,join(X_498,X_499)))) != join(X0,converse(join(X_499,join(X_497,X_498))))
| join(X0,converse(join(X_497,join(X_498,X_499)))) = join(X0,converse(join(X_499,join(X_497,X_498)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_497,join(X_498,X_499)))),join(X0,converse(join(X_497,join(X_498,X_499))))) )],[refute_0_5693,refute_0_5698]) ).
cnf(refute_0_5700,plain,
join(X0,converse(join(X_497,join(X_498,X_499)))) = join(X0,converse(join(X_499,join(X_497,X_498)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_497,join(X_498,X_499)))),join(X0,converse(join(X_499,join(X_497,X_498))))) )],[refute_0_5697,refute_0_5699]) ).
cnf(refute_0_5701,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(converse(top)),join(X_493,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))),
inference(subst,[],[refute_0_5700:[bind(X0,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_497,$fot(complement(converse(top)))),bind(X_498,$fot(X_493)),bind(X_499,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5702,plain,
converse(join(converse(X0),join(X_493,X_492))) = join(X0,converse(join(X_493,X_492))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(join(X_493,X_492)))]]) ).
cnf(refute_0_5703,plain,
converse(join(converse(X0),join(X_493,X_492))) = converse(join(X_493,join(converse(X0),X_492))),
inference(subst,[],[refute_0_3106:[bind(X1,$fot(X_492)),bind(X_101,$fot(X_493)),bind(X_102,$fot(converse(X0)))]]) ).
cnf(refute_0_5704,plain,
( converse(join(converse(X0),join(X_493,X_492))) != converse(join(X_493,join(converse(X0),X_492)))
| converse(join(converse(X0),join(X_493,X_492))) != join(X0,converse(join(X_493,X_492)))
| converse(join(X_493,join(converse(X0),X_492))) = join(X0,converse(join(X_493,X_492))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_493,X_492))),join(X0,converse(join(X_493,X_492)))) ),[0],$fot(converse(join(X_493,join(converse(X0),X_492))))]]) ).
cnf(refute_0_5705,plain,
( converse(join(converse(X0),join(X_493,X_492))) != join(X0,converse(join(X_493,X_492)))
| converse(join(X_493,join(converse(X0),X_492))) = join(X0,converse(join(X_493,X_492))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_493,X_492))),converse(join(X_493,join(converse(X0),X_492)))) )],[refute_0_5703,refute_0_5704]) ).
cnf(refute_0_5706,plain,
converse(join(X_493,join(converse(X0),X_492))) = join(X0,converse(join(X_493,X_492))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_493,X_492))),join(X0,converse(join(X_493,X_492)))) )],[refute_0_5702,refute_0_5705]) ).
cnf(refute_0_5707,plain,
converse(join(X_493,join(converse(X0),X_492))) = join(X0,converse(join(X_492,X_493))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(X_493)),bind(X_180,$fot(X_492)),bind(X_181,$fot(X0))]]) ).
cnf(refute_0_5708,plain,
( converse(join(X_493,join(converse(X0),X_492))) != join(X0,converse(join(X_492,X_493)))
| converse(join(X_493,join(converse(X0),X_492))) != join(X0,converse(join(X_493,X_492)))
| join(X0,converse(join(X_492,X_493))) = join(X0,converse(join(X_493,X_492))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_493,join(converse(X0),X_492))),join(X0,converse(join(X_493,X_492)))) ),[0],$fot(join(X0,converse(join(X_492,X_493))))]]) ).
cnf(refute_0_5709,plain,
( converse(join(X_493,join(converse(X0),X_492))) != join(X0,converse(join(X_493,X_492)))
| join(X0,converse(join(X_492,X_493))) = join(X0,converse(join(X_493,X_492))) ),
inference(resolve,[$cnf( $equal(converse(join(X_493,join(converse(X0),X_492))),join(X0,converse(join(X_492,X_493)))) )],[refute_0_5707,refute_0_5708]) ).
cnf(refute_0_5710,plain,
join(X0,converse(join(X_492,X_493))) = join(X0,converse(join(X_493,X_492))),
inference(resolve,[$cnf( $equal(converse(join(X_493,join(converse(X0),X_492))),join(X0,converse(join(X_493,X_492)))) )],[refute_0_5706,refute_0_5709]) ).
cnf(refute_0_5711,plain,
( join(X0,converse(join(X_492,X_493))) != join(X0,converse(join(X_493,X_492)))
| join(X0,converse(join(X_493,X_492))) = join(X0,converse(join(X_492,X_493))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,converse(join(X_492,X_493))))),bind(Y,$fot(join(X0,converse(join(X_493,X_492)))))]]) ).
cnf(refute_0_5712,plain,
join(X0,converse(join(X_493,X_492))) = join(X0,converse(join(X_492,X_493))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_492,X_493))),join(X0,converse(join(X_493,X_492)))) )],[refute_0_5710,refute_0_5711]) ).
cnf(refute_0_5713,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(converse(top)),join(X_493,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5712:[bind(X0,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_492,$fot(complement(converse(top)))),bind(X_493,$fot(join(X_493,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5714,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(converse(top)),join(X_493,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(converse(top)),join(X_493,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))))),bind(Y,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(converse(top)),join(X_493,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))))]]) ).
cnf(refute_0_5715,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(converse(top)),join(X_493,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(converse(top)),join(X_493,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5713,refute_0_5714]) ).
cnf(refute_0_5716,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(converse(top)),join(X_493,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))) )],[refute_0_5701,refute_0_5715]) ).
cnf(refute_0_5717,plain,
converse(join(X_6,join(converse(X_9),X_8))) = join(X_9,converse(join(X_8,X_6))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(X_6)),bind(X_180,$fot(X_8)),bind(X_181,$fot(X_9))]]) ).
cnf(refute_0_5718,plain,
( converse(join(X_6,join(converse(X_9),X_8))) != join(X_9,converse(join(X_8,X_6)))
| converse(join(X_6,join(converse(X_9),X_8))) != join(converse(X_6),join(X_9,converse(X_8)))
| join(X_9,converse(join(X_8,X_6))) = join(converse(X_6),join(X_9,converse(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_6,join(converse(X_9),X_8))),join(converse(X_6),join(X_9,converse(X_8)))) ),[0],$fot(join(X_9,converse(join(X_8,X_6))))]]) ).
cnf(refute_0_5719,plain,
( converse(join(X_6,join(converse(X_9),X_8))) != join(converse(X_6),join(X_9,converse(X_8)))
| join(X_9,converse(join(X_8,X_6))) = join(converse(X_6),join(X_9,converse(X_8))) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(converse(X_9),X_8))),join(X_9,converse(join(X_8,X_6)))) )],[refute_0_5717,refute_0_5718]) ).
cnf(refute_0_5720,plain,
join(X_9,converse(join(X_8,X_6))) = join(converse(X_6),join(X_9,converse(X_8))),
inference(resolve,[$cnf( $equal(converse(join(X_6,join(converse(X_9),X_8))),join(converse(X_6),join(X_9,converse(X_8)))) )],[refute_0_776,refute_0_5719]) ).
cnf(refute_0_5721,plain,
( join(X_9,converse(join(X_8,X_6))) != join(converse(X_6),join(X_9,converse(X_8)))
| join(converse(X_6),join(X_9,converse(X_8))) = join(X_9,converse(join(X_8,X_6))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_9,converse(join(X_8,X_6))))),bind(Y,$fot(join(converse(X_6),join(X_9,converse(X_8)))))]]) ).
cnf(refute_0_5722,plain,
join(converse(X_6),join(X_9,converse(X_8))) = join(X_9,converse(join(X_8,X_6))),
inference(resolve,[$cnf( $equal(join(X_9,converse(join(X_8,X_6))),join(converse(X_6),join(X_9,converse(X_8)))) )],[refute_0_5720,refute_0_5721]) ).
cnf(refute_0_5723,plain,
join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))),
inference(subst,[],[refute_0_5722:[bind(X_6,$fot(complement(converse(top)))),bind(X_8,$fot(join(X_493,complement(skolemFOFtoCNF_X0)))),bind(X_9,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5724,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))
| join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top)))))
| join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))))),bind(Z,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))))]]) ).
cnf(refute_0_5725,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))
| join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top)))))) )],[refute_0_5723,refute_0_5724]) ).
cnf(refute_0_5726,plain,
join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(join(X_493,complement(skolemFOFtoCNF_X0)),complement(converse(top))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))) )],[refute_0_5716,refute_0_5725]) ).
cnf(refute_0_5727,plain,
join(join(X0,X1),join(join(X0,X1),X_540)) = join(join(X0,X1),X_540),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(join(X0,X1))),bind(X_139,$fot(X_540))]]) ).
cnf(refute_0_5728,plain,
join(X0,join(X1,X_540)) = join(join(X0,X1),X_540),
inference(subst,[],[refute_0_46:[bind(X2,$fot(X_540))]]) ).
cnf(refute_0_5729,plain,
( join(X0,join(X1,X_540)) != join(join(X0,X1),X_540)
| join(join(X0,X1),X_540) = join(X0,join(X1,X_540)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,X_540)))),bind(Y,$fot(join(join(X0,X1),X_540)))]]) ).
cnf(refute_0_5730,plain,
join(join(X0,X1),X_540) = join(X0,join(X1,X_540)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_540)),join(join(X0,X1),X_540)) )],[refute_0_5728,refute_0_5729]) ).
cnf(refute_0_5731,plain,
( join(join(X0,X1),X_540) != join(X0,join(X1,X_540))
| join(join(X0,X1),join(join(X0,X1),X_540)) != join(join(X0,X1),X_540)
| join(join(X0,X1),join(X0,join(X1,X_540))) = join(join(X0,X1),X_540) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X0,X1),join(join(X0,X1),X_540)),join(join(X0,X1),X_540)) ),[0,1],$fot(join(X0,join(X1,X_540)))]]) ).
cnf(refute_0_5732,plain,
( join(join(X0,X1),join(join(X0,X1),X_540)) != join(join(X0,X1),X_540)
| join(join(X0,X1),join(X0,join(X1,X_540))) = join(join(X0,X1),X_540) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_540),join(X0,join(X1,X_540))) )],[refute_0_5730,refute_0_5731]) ).
cnf(refute_0_5733,plain,
join(join(X0,X1),join(X0,join(X1,X_540))) = join(join(X0,X1),X_540),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(join(X0,X1),X_540)),join(join(X0,X1),X_540)) )],[refute_0_5727,refute_0_5732]) ).
cnf(refute_0_5734,plain,
join(X0,join(X1,join(X1,X_540))) = join(join(X0,X1),join(X1,X_540)),
inference(subst,[],[refute_0_46:[bind(X2,$fot(join(X1,X_540)))]]) ).
cnf(refute_0_5735,plain,
join(X1,join(X1,X_540)) = join(X1,X_540),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(X1)),bind(X_139,$fot(X_540))]]) ).
cnf(refute_0_5736,plain,
( join(X0,join(X1,join(X1,X_540))) != join(join(X0,X1),join(X1,X_540))
| join(X1,join(X1,X_540)) != join(X1,X_540)
| join(X0,join(X1,X_540)) = join(join(X0,X1),join(X1,X_540)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X1,X_540))),join(join(X0,X1),join(X1,X_540))) ),[0,1],$fot(join(X1,X_540))]]) ).
cnf(refute_0_5737,plain,
( join(X0,join(X1,join(X1,X_540))) != join(join(X0,X1),join(X1,X_540))
| join(X0,join(X1,X_540)) = join(join(X0,X1),join(X1,X_540)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X_540)),join(X1,X_540)) )],[refute_0_5735,refute_0_5736]) ).
cnf(refute_0_5738,plain,
join(X0,join(X1,X_540)) = join(join(X0,X1),join(X1,X_540)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X1,X_540))),join(join(X0,X1),join(X1,X_540))) )],[refute_0_5734,refute_0_5737]) ).
cnf(refute_0_5739,plain,
converse(converse(join(X_497,join(X_498,X_499)))) = join(X_497,join(X_498,X_499)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(X_497,join(X_498,X_499))))]]) ).
cnf(refute_0_5740,plain,
( converse(converse(join(X_497,join(X_498,X_499)))) != join(X_497,join(X_498,X_499))
| converse(join(X_497,join(X_498,X_499))) != converse(join(X_499,join(X_497,X_498)))
| converse(converse(join(X_499,join(X_497,X_498)))) = join(X_497,join(X_498,X_499)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_497,join(X_498,X_499)))),join(X_497,join(X_498,X_499))) ),[0,0],$fot(converse(join(X_499,join(X_497,X_498))))]]) ).
cnf(refute_0_5741,plain,
( converse(converse(join(X_497,join(X_498,X_499)))) != join(X_497,join(X_498,X_499))
| converse(converse(join(X_499,join(X_497,X_498)))) = join(X_497,join(X_498,X_499)) ),
inference(resolve,[$cnf( $equal(converse(join(X_497,join(X_498,X_499))),converse(join(X_499,join(X_497,X_498)))) )],[refute_0_5694,refute_0_5740]) ).
cnf(refute_0_5742,plain,
converse(converse(join(X_499,join(X_497,X_498)))) = join(X_497,join(X_498,X_499)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_497,join(X_498,X_499)))),join(X_497,join(X_498,X_499))) )],[refute_0_5739,refute_0_5741]) ).
cnf(refute_0_5743,plain,
converse(converse(join(X_499,join(X_497,X_498)))) = join(X_499,join(X_497,X_498)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(X_499,join(X_497,X_498))))]]) ).
cnf(refute_0_5744,plain,
( converse(converse(join(X_499,join(X_497,X_498)))) != join(X_497,join(X_498,X_499))
| converse(converse(join(X_499,join(X_497,X_498)))) != join(X_499,join(X_497,X_498))
| join(X_499,join(X_497,X_498)) = join(X_497,join(X_498,X_499)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(X_499,join(X_497,X_498)))),join(X_497,join(X_498,X_499))) ),[0],$fot(join(X_499,join(X_497,X_498)))]]) ).
cnf(refute_0_5745,plain,
( converse(converse(join(X_499,join(X_497,X_498)))) != join(X_497,join(X_498,X_499))
| join(X_499,join(X_497,X_498)) = join(X_497,join(X_498,X_499)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(X_499,join(X_497,X_498)))),join(X_499,join(X_497,X_498))) )],[refute_0_5743,refute_0_5744]) ).
cnf(refute_0_5746,plain,
join(X_499,join(X_497,X_498)) = join(X_497,join(X_498,X_499)),
inference(resolve,[$cnf( $equal(converse(converse(join(X_499,join(X_497,X_498)))),join(X_497,join(X_498,X_499))) )],[refute_0_5742,refute_0_5745]) ).
cnf(refute_0_5747,plain,
join(join(X0,X1),join(X1,X_540)) = join(X1,join(X_540,join(X0,X1))),
inference(subst,[],[refute_0_5746:[bind(X_497,$fot(X1)),bind(X_498,$fot(X_540)),bind(X_499,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5748,plain,
( join(X0,join(X1,X_540)) != join(join(X0,X1),join(X1,X_540))
| join(join(X0,X1),join(X1,X_540)) != join(X1,join(X_540,join(X0,X1)))
| join(X0,join(X1,X_540)) = join(X1,join(X_540,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,X_540)),join(X1,join(X_540,join(X0,X1)))) ),[0],$fot(join(join(X0,X1),join(X1,X_540)))]]) ).
cnf(refute_0_5749,plain,
( join(X0,join(X1,X_540)) != join(join(X0,X1),join(X1,X_540))
| join(X0,join(X1,X_540)) = join(X1,join(X_540,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X1,X_540)),join(X1,join(X_540,join(X0,X1)))) )],[refute_0_5747,refute_0_5748]) ).
cnf(refute_0_5750,plain,
join(X0,join(X1,X_540)) = join(X1,join(X_540,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_540)),join(join(X0,X1),join(X1,X_540))) )],[refute_0_5738,refute_0_5749]) ).
cnf(refute_0_5751,plain,
( join(X0,join(X1,X_540)) != join(X1,join(X_540,join(X0,X1)))
| join(X1,join(X_540,join(X0,X1))) = join(X0,join(X1,X_540)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,X_540)))),bind(Y,$fot(join(X1,join(X_540,join(X0,X1)))))]]) ).
cnf(refute_0_5752,plain,
join(X1,join(X_540,join(X0,X1))) = join(X0,join(X1,X_540)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_540)),join(X1,join(X_540,join(X0,X1)))) )],[refute_0_5750,refute_0_5751]) ).
cnf(refute_0_5753,plain,
join(X0,join(X1,join(X_540,X0))) = join(X_540,join(X0,X1)),
inference(subst,[],[refute_0_5752:[bind(X0,$fot(X_540)),bind(X1,$fot(X0)),bind(X_540,$fot(X1))]]) ).
cnf(refute_0_5754,plain,
join(X1,join(X1,join(X_540,X0))) = join(X1,join(X_540,X0)),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(X1)),bind(X_139,$fot(join(X_540,X0)))]]) ).
cnf(refute_0_5755,plain,
join(join(X1,X_540),X0) = join(X1,join(X_540,X0)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X1)),bind(X1,$fot(X_540)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_5756,plain,
join(X1,join(join(X1,X_540),X0)) = join(X1,join(join(X1,X_540),X0)),
introduced(tautology,[refl,[$fot(join(X1,join(join(X1,X_540),X0)))]]) ).
cnf(refute_0_5757,plain,
( join(X1,join(join(X1,X_540),X0)) != join(X1,join(join(X1,X_540),X0))
| join(join(X1,X_540),X0) != join(X1,join(X_540,X0))
| join(X1,join(join(X1,X_540),X0)) = join(X1,join(X1,join(X_540,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(join(X1,X_540),X0)),join(X1,join(join(X1,X_540),X0))) ),[1,1],$fot(join(X1,join(X_540,X0)))]]) ).
cnf(refute_0_5758,plain,
( join(join(X1,X_540),X0) != join(X1,join(X_540,X0))
| join(X1,join(join(X1,X_540),X0)) = join(X1,join(X1,join(X_540,X0))) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X1,X_540),X0)),join(X1,join(join(X1,X_540),X0))) )],[refute_0_5756,refute_0_5757]) ).
cnf(refute_0_5759,plain,
join(X1,join(join(X1,X_540),X0)) = join(X1,join(X1,join(X_540,X0))),
inference(resolve,[$cnf( $equal(join(join(X1,X_540),X0),join(X1,join(X_540,X0))) )],[refute_0_5755,refute_0_5758]) ).
cnf(refute_0_5760,plain,
( join(X1,join(X1,join(X_540,X0))) != join(X1,join(X_540,X0))
| join(X1,join(join(X1,X_540),X0)) != join(X1,join(X1,join(X_540,X0)))
| join(X1,join(join(X1,X_540),X0)) = join(X1,join(X_540,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X1,join(join(X1,X_540),X0)))),bind(Y,$fot(join(X1,join(X1,join(X_540,X0))))),bind(Z,$fot(join(X1,join(X_540,X0))))]]) ).
cnf(refute_0_5761,plain,
( join(X1,join(X1,join(X_540,X0))) != join(X1,join(X_540,X0))
| join(X1,join(join(X1,X_540),X0)) = join(X1,join(X_540,X0)) ),
inference(resolve,[$cnf( $equal(join(X1,join(join(X1,X_540),X0)),join(X1,join(X1,join(X_540,X0)))) )],[refute_0_5759,refute_0_5760]) ).
cnf(refute_0_5762,plain,
join(X1,join(join(X1,X_540),X0)) = join(X1,join(X_540,X0)),
inference(resolve,[$cnf( $equal(join(X1,join(X1,join(X_540,X0))),join(X1,join(X_540,X0))) )],[refute_0_5754,refute_0_5761]) ).
cnf(refute_0_5763,plain,
( join(X_499,join(X_497,X_498)) != join(X_497,join(X_498,X_499))
| join(X_497,join(X_498,X_499)) = join(X_499,join(X_497,X_498)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_499,join(X_497,X_498)))),bind(Y,$fot(join(X_497,join(X_498,X_499))))]]) ).
cnf(refute_0_5764,plain,
join(X_497,join(X_498,X_499)) = join(X_499,join(X_497,X_498)),
inference(resolve,[$cnf( $equal(join(X_499,join(X_497,X_498)),join(X_497,join(X_498,X_499))) )],[refute_0_5746,refute_0_5763]) ).
cnf(refute_0_5765,plain,
join(join(X1,X_540),join(X0,X1)) = join(X1,join(join(X1,X_540),X0)),
inference(subst,[],[refute_0_5764:[bind(X_497,$fot(join(X1,X_540))),bind(X_498,$fot(X0)),bind(X_499,$fot(X1))]]) ).
cnf(refute_0_5766,plain,
( join(X1,join(join(X1,X_540),X0)) != join(X1,join(X_540,X0))
| join(join(X1,X_540),join(X0,X1)) != join(X1,join(join(X1,X_540),X0))
| join(join(X1,X_540),join(X0,X1)) = join(X1,join(X_540,X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X1,X_540),join(X0,X1)))),bind(Y,$fot(join(X1,join(join(X1,X_540),X0)))),bind(Z,$fot(join(X1,join(X_540,X0))))]]) ).
cnf(refute_0_5767,plain,
( join(X1,join(join(X1,X_540),X0)) != join(X1,join(X_540,X0))
| join(join(X1,X_540),join(X0,X1)) = join(X1,join(X_540,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X1,X_540),join(X0,X1)),join(X1,join(join(X1,X_540),X0))) )],[refute_0_5765,refute_0_5766]) ).
cnf(refute_0_5768,plain,
join(join(X1,X_540),join(X0,X1)) = join(X1,join(X_540,X0)),
inference(resolve,[$cnf( $equal(join(X1,join(join(X1,X_540),X0)),join(X1,join(X_540,X0))) )],[refute_0_5762,refute_0_5767]) ).
cnf(refute_0_5769,plain,
join(X0,join(join(X1,X_540),join(X0,X1))) = join(X0,join(join(X1,X_540),join(X0,X1))),
introduced(tautology,[refl,[$fot(join(X0,join(join(X1,X_540),join(X0,X1))))]]) ).
cnf(refute_0_5770,plain,
( join(X0,join(join(X1,X_540),join(X0,X1))) != join(X0,join(join(X1,X_540),join(X0,X1)))
| join(join(X1,X_540),join(X0,X1)) != join(X1,join(X_540,X0))
| join(X0,join(join(X1,X_540),join(X0,X1))) = join(X0,join(X1,join(X_540,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(join(X1,X_540),join(X0,X1))),join(X0,join(join(X1,X_540),join(X0,X1)))) ),[1,1],$fot(join(X1,join(X_540,X0)))]]) ).
cnf(refute_0_5771,plain,
( join(join(X1,X_540),join(X0,X1)) != join(X1,join(X_540,X0))
| join(X0,join(join(X1,X_540),join(X0,X1))) = join(X0,join(X1,join(X_540,X0))) ),
inference(resolve,[$cnf( $equal(join(X0,join(join(X1,X_540),join(X0,X1))),join(X0,join(join(X1,X_540),join(X0,X1)))) )],[refute_0_5769,refute_0_5770]) ).
cnf(refute_0_5772,plain,
join(X0,join(join(X1,X_540),join(X0,X1))) = join(X0,join(X1,join(X_540,X0))),
inference(resolve,[$cnf( $equal(join(join(X1,X_540),join(X0,X1)),join(X1,join(X_540,X0))) )],[refute_0_5768,refute_0_5771]) ).
cnf(refute_0_5773,plain,
( join(X0,join(X1,join(X_540,X0))) != join(X_540,join(X0,X1))
| join(X0,join(join(X1,X_540),join(X0,X1))) != join(X0,join(X1,join(X_540,X0)))
| join(X0,join(join(X1,X_540),join(X0,X1))) = join(X_540,join(X0,X1)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(X0,join(join(X1,X_540),join(X0,X1))))),bind(Y,$fot(join(X0,join(X1,join(X_540,X0))))),bind(Z,$fot(join(X_540,join(X0,X1))))]]) ).
cnf(refute_0_5774,plain,
( join(X0,join(X1,join(X_540,X0))) != join(X_540,join(X0,X1))
| join(X0,join(join(X1,X_540),join(X0,X1))) = join(X_540,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,join(join(X1,X_540),join(X0,X1))),join(X0,join(X1,join(X_540,X0)))) )],[refute_0_5772,refute_0_5773]) ).
cnf(refute_0_5775,plain,
join(X0,join(join(X1,X_540),join(X0,X1))) = join(X_540,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_540,X0))),join(X_540,join(X0,X1))) )],[refute_0_5753,refute_0_5774]) ).
cnf(refute_0_5776,plain,
join(join(X0,X1),join(X0,join(X1,X_540))) = join(X0,join(join(X1,X_540),join(X0,X1))),
inference(subst,[],[refute_0_5746:[bind(X_497,$fot(X0)),bind(X_498,$fot(join(X1,X_540))),bind(X_499,$fot(join(X0,X1)))]]) ).
cnf(refute_0_5777,plain,
( join(X0,join(join(X1,X_540),join(X0,X1))) != join(X_540,join(X0,X1))
| join(join(X0,X1),join(X0,join(X1,X_540))) != join(X0,join(join(X1,X_540),join(X0,X1)))
| join(join(X0,X1),join(X0,join(X1,X_540))) = join(X_540,join(X0,X1)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,X1),join(X0,join(X1,X_540))))),bind(Y,$fot(join(X0,join(join(X1,X_540),join(X0,X1))))),bind(Z,$fot(join(X_540,join(X0,X1))))]]) ).
cnf(refute_0_5778,plain,
( join(X0,join(join(X1,X_540),join(X0,X1))) != join(X_540,join(X0,X1))
| join(join(X0,X1),join(X0,join(X1,X_540))) = join(X_540,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X0,join(X1,X_540))),join(X0,join(join(X1,X_540),join(X0,X1)))) )],[refute_0_5776,refute_0_5777]) ).
cnf(refute_0_5779,plain,
join(join(X0,X1),join(X0,join(X1,X_540))) = join(X_540,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(join(X1,X_540),join(X0,X1))),join(X_540,join(X0,X1))) )],[refute_0_5775,refute_0_5778]) ).
cnf(refute_0_5780,plain,
( join(join(X0,X1),join(X0,join(X1,X_540))) != join(X_540,join(X0,X1))
| join(join(X0,X1),join(X0,join(X1,X_540))) != join(join(X0,X1),X_540)
| join(X_540,join(X0,X1)) = join(join(X0,X1),X_540) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X0,X1),join(X0,join(X1,X_540))),join(join(X0,X1),X_540)) ),[0],$fot(join(X_540,join(X0,X1)))]]) ).
cnf(refute_0_5781,plain,
( join(join(X0,X1),join(X0,join(X1,X_540))) != join(join(X0,X1),X_540)
| join(X_540,join(X0,X1)) = join(join(X0,X1),X_540) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X0,join(X1,X_540))),join(X_540,join(X0,X1))) )],[refute_0_5779,refute_0_5780]) ).
cnf(refute_0_5782,plain,
( join(X_540,join(X0,X1)) != join(join(X0,X1),X_540)
| join(join(X0,X1),X_540) != join(X0,join(X1,X_540))
| join(X_540,join(X0,X1)) = join(X0,join(X1,X_540)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_540,join(X0,X1)),join(X0,join(X1,X_540))) ),[0],$fot(join(join(X0,X1),X_540))]]) ).
cnf(refute_0_5783,plain,
( join(X_540,join(X0,X1)) != join(join(X0,X1),X_540)
| join(X_540,join(X0,X1)) = join(X0,join(X1,X_540)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_540),join(X0,join(X1,X_540))) )],[refute_0_5730,refute_0_5782]) ).
cnf(refute_0_5784,plain,
( join(join(X0,X1),join(X0,join(X1,X_540))) != join(join(X0,X1),X_540)
| join(X_540,join(X0,X1)) = join(X0,join(X1,X_540)) ),
inference(resolve,[$cnf( $equal(join(X_540,join(X0,X1)),join(join(X0,X1),X_540)) )],[refute_0_5781,refute_0_5783]) ).
cnf(refute_0_5785,plain,
join(X_540,join(X0,X1)) = join(X0,join(X1,X_540)),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X0,join(X1,X_540))),join(join(X0,X1),X_540)) )],[refute_0_5733,refute_0_5784]) ).
cnf(refute_0_5786,plain,
( join(X_540,join(X0,X1)) != join(X0,join(X1,X_540))
| join(X0,join(X1,X_540)) = join(X_540,join(X0,X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_540,join(X0,X1)))),bind(Y,$fot(join(X0,join(X1,X_540))))]]) ).
cnf(refute_0_5787,plain,
join(X0,join(X1,X_540)) = join(X_540,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X_540,join(X0,X1)),join(X0,join(X1,X_540))) )],[refute_0_5785,refute_0_5786]) ).
cnf(refute_0_5788,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) = join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5787:[bind(X0,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X1,$fot(converse(join(X_493,complement(skolemFOFtoCNF_X0))))),bind(X_540,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_5789,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) != join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0)))))
| join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))))),bind(Y,$fot(join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))))]]) ).
cnf(refute_0_5790,plain,
( join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))),join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_5788,refute_0_5789]) ).
cnf(refute_0_5791,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(top))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(X_493,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))) )],[refute_0_5726,refute_0_5790]) ).
cnf(refute_0_5792,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493)))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))))),bind(Y,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))))),bind(Z,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493)))))]]) ).
cnf(refute_0_5793,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493)))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493))))) )],[refute_0_5791,refute_0_5792]) ).
cnf(refute_0_5794,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),join(complement(converse(top)),X_493)))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493)))) )],[refute_0_5692,refute_0_5793]) ).
cnf(refute_0_5795,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493)))
| top != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top)))))
| top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top)))))) ),[1],$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))))]]) ).
cnf(refute_0_5796,plain,
( top != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top)))))
| top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493)))) )],[refute_0_5794,refute_0_5795]) ).
cnf(refute_0_5797,plain,
top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),X_493))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(converse(join(X_493,complement(skolemFOFtoCNF_X0))),converse(complement(converse(top)))))) )],[refute_0_5672,refute_0_5796]) ).
cnf(refute_0_5798,plain,
top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))),
inference(subst,[],[refute_0_5797:[bind(X_493,$fot(meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5799,plain,
converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(X_55,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5800,plain,
complement(skolemFOFtoCNF_X0) = join(complement(join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X_32,$fot(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5801,plain,
top = join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_770:[bind(X0,$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_6,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5802,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5803,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_32,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5804,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_5805,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_4126,refute_0_5804]) ).
cnf(refute_0_5806,plain,
complement(converse(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5803,refute_0_5805]) ).
cnf(refute_0_5807,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5808,plain,
join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5806,refute_0_5807]) ).
cnf(refute_0_5809,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(converse(skolemFOFtoCNF_X0))
| complement(complement(one)) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_5810,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| complement(complement(one)) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_5808,refute_0_5809]) ).
cnf(refute_0_5811,plain,
complement(complement(one)) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5802,refute_0_5810]) ).
cnf(refute_0_5812,plain,
( complement(complement(one)) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| complement(complement(one)) != one
| one = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5813,plain,
( complement(complement(one)) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| one = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5812]) ).
cnf(refute_0_5814,plain,
meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5815,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5816,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5814,refute_0_5815]) ).
cnf(refute_0_5817,plain,
meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5816]) ).
cnf(refute_0_5818,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5819,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5820,plain,
( meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5818,refute_0_5819]) ).
cnf(refute_0_5821,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_5817,refute_0_5820]) ).
cnf(refute_0_5822,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5823,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5824,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5822,refute_0_5823]) ).
cnf(refute_0_5825,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_4090,refute_0_5824]) ).
cnf(refute_0_5826,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5827,plain,
( join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5825,refute_0_5826]) ).
cnf(refute_0_5828,plain,
join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5821,refute_0_5827]) ).
cnf(refute_0_5829,plain,
( join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| one != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| one = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5830,plain,
( one != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| one = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5828,refute_0_5829]) ).
cnf(refute_0_5831,plain,
( complement(complement(one)) != join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| one = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5813,refute_0_5830]) ).
cnf(refute_0_5832,plain,
one = join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5811,refute_0_5831]) ).
cnf(refute_0_5833,plain,
( one != join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5834,plain,
join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(one,join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5832,refute_0_5833]) ).
cnf(refute_0_5835,plain,
( join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != one
| top != join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| top = join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) ),[1,1,0,1,0],$fot(one)]]) ).
cnf(refute_0_5836,plain,
( top != join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))
| top = join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_5834,refute_0_5835]) ).
cnf(refute_0_5837,plain,
top = join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(converse(skolemFOFtoCNF_X0),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))) )],[refute_0_5801,refute_0_5836]) ).
cnf(refute_0_5838,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_2669:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_101,$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_102,$fot(complement(one)))]]) ).
cnf(refute_0_5839,plain,
( join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))) != join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| top != join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))))
| top = join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))))) ),[1],$fot(join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5840,plain,
( top != join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))))
| top = join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))),join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5838,refute_0_5839]) ).
cnf(refute_0_5841,plain,
top = join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))))) )],[refute_0_5837,refute_0_5840]) ).
cnf(refute_0_5842,plain,
( top != join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5843,plain,
join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5841,refute_0_5842]) ).
cnf(refute_0_5844,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != top
| complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_5845,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top) )],[refute_0_5843,refute_0_5844]) ).
cnf(refute_0_5846,plain,
complement(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(join(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5800,refute_0_5845]) ).
cnf(refute_0_5847,plain,
join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5848,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5849,plain,
( complement(top) != zero
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5850,plain,
( complement(top) != zero
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5848,refute_0_5849]) ).
cnf(refute_0_5851,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_5850]) ).
cnf(refute_0_5852,plain,
( join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5853,plain,
( join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5851,refute_0_5852]) ).
cnf(refute_0_5854,plain,
join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5847,refute_0_5853]) ).
cnf(refute_0_5855,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| complement(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[0],$fot(join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5856,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| complement(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5854,refute_0_5855]) ).
cnf(refute_0_5857,plain,
complement(skolemFOFtoCNF_X0) = meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(top),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5846,refute_0_5856]) ).
cnf(refute_0_5858,plain,
( complement(skolemFOFtoCNF_X0) != meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5859,plain,
meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5857,refute_0_5858]) ).
cnf(refute_0_5860,plain,
( converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(skolemFOFtoCNF_X0)
| converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5861,plain,
( converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_5859,refute_0_5860]) ).
cnf(refute_0_5862,plain,
converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(meet(complement(skolemFOFtoCNF_X0),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5799,refute_0_5861]) ).
cnf(refute_0_5863,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5864,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5865,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5863,refute_0_5864]) ).
cnf(refute_0_5866,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_5865]) ).
cnf(refute_0_5867,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5868,plain,
( join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5869,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5867,refute_0_5868]) ).
cnf(refute_0_5870,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5866,refute_0_5869]) ).
cnf(refute_0_5871,plain,
( converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[0],$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5872,plain,
( converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5870,refute_0_5871]) ).
cnf(refute_0_5873,plain,
converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(skolemFOFtoCNF_X0),meet(complement(complement(skolemFOFtoCNF_X0)),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5862,refute_0_5872]) ).
cnf(refute_0_5874,plain,
( converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_5875,plain,
join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5873,refute_0_5874]) ).
cnf(refute_0_5876,plain,
( join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| top != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))
| top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))) ),[1,1,0],$fot(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5877,plain,
( top != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))
| top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5875,refute_0_5876]) ).
cnf(refute_0_5878,plain,
top = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(complement(skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))) )],[refute_0_5798,refute_0_5877]) ).
cnf(refute_0_5879,plain,
join(complement(one),join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(complement(one))),bind(X_64,$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_65,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5880,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(one),join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_5785:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_540,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5881,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(one),join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(one),join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(complement(one),join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5882,plain,
( join(complement(one),join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(one),join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_5880,refute_0_5881]) ).
cnf(refute_0_5883,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5879,refute_0_5882]) ).
cnf(refute_0_5884,plain,
converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5885,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5886,plain,
( converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,1],$fot(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5887,plain,
( converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5885,refute_0_5886]) ).
cnf(refute_0_5888,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_5884,refute_0_5887]) ).
cnf(refute_0_5889,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5890,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5888,refute_0_5889]) ).
cnf(refute_0_5891,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5883,refute_0_5890]) ).
cnf(refute_0_5892,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| top != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| top = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1],$fot(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5893,plain,
( top != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| top = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5891,refute_0_5892]) ).
cnf(refute_0_5894,plain,
top = join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(converse(join(complement(one),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_5878,refute_0_5893]) ).
cnf(refute_0_5895,plain,
( top != join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5896,plain,
join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5894,refute_0_5895]) ).
cnf(refute_0_5897,plain,
( complement(complement(one)) != join(complement(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != top
| complement(complement(one)) = join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_5898,plain,
( complement(complement(one)) != join(complement(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| complement(complement(one)) = join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),top) )],[refute_0_5896,refute_0_5897]) ).
cnf(refute_0_5899,plain,
complement(complement(one)) = join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5568,refute_0_5898]) ).
cnf(refute_0_5900,plain,
( complement(complement(one)) != join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| complement(complement(one)) != one
| one = join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5901,plain,
( complement(complement(one)) != join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| one = join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5900]) ).
cnf(refute_0_5902,plain,
join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5903,plain,
meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5904,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5905,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5903,refute_0_5904]) ).
cnf(refute_0_5906,plain,
meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5905]) ).
cnf(refute_0_5907,plain,
join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5908,plain,
( join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5909,plain,
( meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5907,refute_0_5908]) ).
cnf(refute_0_5910,plain,
join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5906,refute_0_5909]) ).
cnf(refute_0_5911,plain,
join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5912,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_5913,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5911,refute_0_5912]) ).
cnf(refute_0_5914,plain,
join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_5913]) ).
cnf(refute_0_5915,plain,
( join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_5916,plain,
( join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5914,refute_0_5915]) ).
cnf(refute_0_5917,plain,
join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5910,refute_0_5916]) ).
cnf(refute_0_5918,plain,
( join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5919,plain,
( join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5917,refute_0_5918]) ).
cnf(refute_0_5920,plain,
join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5902,refute_0_5919]) ).
cnf(refute_0_5921,plain,
( join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| one != join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| one = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1],$fot(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5922,plain,
( one != join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| one = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5920,refute_0_5921]) ).
cnf(refute_0_5923,plain,
( complement(complement(one)) != join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| one = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5901,refute_0_5922]) ).
cnf(refute_0_5924,plain,
one = meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(top),meet(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5899,refute_0_5923]) ).
cnf(refute_0_5925,plain,
( one != meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5926,plain,
meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5924,refute_0_5925]) ).
cnf(refute_0_5927,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != one
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5928,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),one) )],[refute_0_5926,refute_0_5927]) ).
cnf(refute_0_5929,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(meet(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5567,refute_0_5928]) ).
cnf(refute_0_5930,plain,
complement(one) = join(complement(join(one,join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5931,plain,
join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) = join(join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(X_149))),bind(X1,$fot(join(complement(X_150),meet(X_149,X_150))))]]) ).
cnf(refute_0_5932,plain,
( join(complement(X_149),join(complement(X_150),meet(X_149,X_150))) != top
| join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) != join(join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),X2)
| join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)),join(join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_5933,plain,
( join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) != join(join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),X2)
| join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),top) )],[refute_0_4231,refute_0_5932]) ).
cnf(refute_0_5934,plain,
join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)),join(join(complement(X_149),join(complement(X_150),meet(X_149,X_150))),X2)) )],[refute_0_5931,refute_0_5933]) ).
cnf(refute_0_5935,plain,
join(join(complement(X_150),meet(X_149,X_150)),X2) = join(complement(X_150),join(meet(X_149,X_150),X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(complement(X_150))),bind(X1,$fot(meet(X_149,X_150)))]]) ).
cnf(refute_0_5936,plain,
join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) = join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)),
introduced(tautology,[refl,[$fot(join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)))]]) ).
cnf(refute_0_5937,plain,
( join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) != join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2))
| join(join(complement(X_150),meet(X_149,X_150)),X2) != join(complement(X_150),join(meet(X_149,X_150),X2))
| join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) = join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)),join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2))) ),[1,1],$fot(join(complement(X_150),join(meet(X_149,X_150),X2)))]]) ).
cnf(refute_0_5938,plain,
( join(join(complement(X_150),meet(X_149,X_150)),X2) != join(complement(X_150),join(meet(X_149,X_150),X2))
| join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) = join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) ),
inference(resolve,[$cnf( $equal(join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)),join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2))) )],[refute_0_5936,refute_0_5937]) ).
cnf(refute_0_5939,plain,
join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) = join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))),
inference(resolve,[$cnf( $equal(join(join(complement(X_150),meet(X_149,X_150)),X2),join(complement(X_150),join(meet(X_149,X_150),X2))) )],[refute_0_5935,refute_0_5938]) ).
cnf(refute_0_5940,plain,
( join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) != join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2)))
| join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) != join(top,X2)
| join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)),join(top,X2)) ),[0],$fot(join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))))]]) ).
cnf(refute_0_5941,plain,
( join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) != join(top,X2)
| join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)),join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2)))) )],[refute_0_5939,refute_0_5940]) ).
cnf(refute_0_5942,plain,
join(top,X2) = top,
inference(subst,[],[refute_0_3452:[bind(X0,$fot(X2))]]) ).
cnf(refute_0_5943,plain,
( join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) != join(top,X2)
| join(top,X2) != top
| join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))),top) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_0_5944,plain,
( join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) != join(top,X2)
| join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) = top ),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_0_5942,refute_0_5943]) ).
cnf(refute_0_5945,plain,
( join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)) != join(top,X2)
| join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))),join(top,X2)) )],[refute_0_5941,refute_0_5944]) ).
cnf(refute_0_5946,plain,
join(complement(X_149),join(complement(X_150),join(meet(X_149,X_150),X2))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_149),join(join(complement(X_150),meet(X_149,X_150)),X2)),join(top,X2)) )],[refute_0_5934,refute_0_5945]) ).
cnf(refute_0_5947,plain,
join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_328))) = top,
inference(subst,[],[refute_0_5946:[bind(X2,$fot(X_328)),bind(X_149,$fot(complement(one))),bind(X_150,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5948,plain,
complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5005:[bind(X_7,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5949,plain,
converse(join(converse(X0),composition(top,complement(converse(X0))))) = join(X0,converse(composition(top,complement(converse(X0))))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(composition(top,complement(converse(X0)))))]]) ).
cnf(refute_0_5950,plain,
join(converse(X0),composition(top,complement(converse(X0)))) = top,
inference(subst,[],[refute_0_4798:[bind(X_245,$fot(converse(X0)))]]) ).
cnf(refute_0_5951,plain,
( converse(join(converse(X0),composition(top,complement(converse(X0))))) != join(X0,converse(composition(top,complement(converse(X0)))))
| join(converse(X0),composition(top,complement(converse(X0)))) != top
| converse(top) = join(X0,converse(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(top,complement(converse(X0))))),join(X0,converse(composition(top,complement(converse(X0)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_5952,plain,
( converse(join(converse(X0),composition(top,complement(converse(X0))))) != join(X0,converse(composition(top,complement(converse(X0)))))
| converse(top) = join(X0,converse(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(top,complement(converse(X0)))),top) )],[refute_0_5950,refute_0_5951]) ).
cnf(refute_0_5953,plain,
converse(top) = join(X0,converse(composition(top,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(top,complement(converse(X0))))),join(X0,converse(composition(top,complement(converse(X0)))))) )],[refute_0_5949,refute_0_5952]) ).
cnf(refute_0_5954,plain,
( converse(top) != join(X0,converse(composition(top,complement(converse(X0)))))
| converse(top) != top
| top = join(X0,converse(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X0,converse(composition(top,complement(converse(X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5955,plain,
( converse(top) != join(X0,converse(composition(top,complement(converse(X0)))))
| top = join(X0,converse(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_5954]) ).
cnf(refute_0_5956,plain,
top = join(X0,converse(composition(top,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(composition(top,complement(converse(X0)))))) )],[refute_0_5953,refute_0_5955]) ).
cnf(refute_0_5957,plain,
top = join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_5956:[bind(X0,$fot(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_5958,plain,
join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5959,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5960,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| complement(complement(one)) = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5961,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| complement(complement(one)) = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_3301,refute_0_5960]) ).
cnf(refute_0_5962,plain,
complement(complement(one)) = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5959,refute_0_5961]) ).
cnf(refute_0_5963,plain,
( complement(complement(one)) != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| complement(complement(one)) != one
| one = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(one)]]) ).
cnf(refute_0_5964,plain,
( complement(complement(one)) != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| one = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5963]) ).
cnf(refute_0_5965,plain,
meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5966,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5967,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5965,refute_0_5966]) ).
cnf(refute_0_5968,plain,
meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_5967]) ).
cnf(refute_0_5969,plain,
join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5970,plain,
( join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_5971,plain,
( meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5969,refute_0_5970]) ).
cnf(refute_0_5972,plain,
join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_5968,refute_0_5971]) ).
cnf(refute_0_5973,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5974,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_5975,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5973,refute_0_5974]) ).
cnf(refute_0_5976,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_5975]) ).
cnf(refute_0_5977,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5978,plain,
( join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5976,refute_0_5977]) ).
cnf(refute_0_5979,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5972,refute_0_5978]) ).
cnf(refute_0_5980,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| one != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| one = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5981,plain,
( one != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| one = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5979,refute_0_5980]) ).
cnf(refute_0_5982,plain,
( complement(complement(one)) != join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))
| one = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(one,join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5964,refute_0_5981]) ).
cnf(refute_0_5983,plain,
one = join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(complement(skolemFOFtoCNF_X0)),meet(complement(complement(one)),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5962,refute_0_5982]) ).
cnf(refute_0_5984,plain,
( one != join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_5985,plain,
join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_5983,refute_0_5984]) ).
cnf(refute_0_5986,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)) != join(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),X2)
| join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != one
| join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(one,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)),join(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),X2)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_5987,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)) != join(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),X2)
| join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(one,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_5985,refute_0_5986]) ).
cnf(refute_0_5988,plain,
join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(one,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),X2)),join(join(skolemFOFtoCNF_X0,meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_5958,refute_0_5987]) ).
cnf(refute_0_5989,plain,
join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5988:[bind(X2,$fot(converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_5990,plain,
top = join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3110:[bind(X_10,$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_5991,plain,
( top != join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_5992,plain,
join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5990,refute_0_5991]) ).
cnf(refute_0_5993,plain,
( join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) != top
| join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,top) = join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))),join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_5994,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,top) = join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),top) )],[refute_0_5992,refute_0_5993]) ).
cnf(refute_0_5995,plain,
join(skolemFOFtoCNF_X0,top) = join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))),join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5989,refute_0_5994]) ).
cnf(refute_0_5996,plain,
join(skolemFOFtoCNF_X0,top) = top,
inference(subst,[],[refute_0_1338:[bind(X_104,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_5997,plain,
( join(skolemFOFtoCNF_X0,top) != join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,top) != top
| top = join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_5998,plain,
( join(skolemFOFtoCNF_X0,top) != join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| top = join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),top) )],[refute_0_5996,refute_0_5997]) ).
cnf(refute_0_5999,plain,
join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6000,plain,
( join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| top != join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| top = converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6001,plain,
( top != join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| top = converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5999,refute_0_6000]) ).
cnf(refute_0_6002,plain,
( join(skolemFOFtoCNF_X0,top) != join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| top = converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5998,refute_0_6001]) ).
cnf(refute_0_6003,plain,
top = converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),join(one,converse(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5995,refute_0_6002]) ).
cnf(refute_0_6004,plain,
X_217 = meet(X_217,join(complement(complement(X0)),meet(complement(X0),X_217))),
inference(subst,[],[refute_0_4271:[bind(X_149,$fot(complement(X0))),bind(X_150,$fot(X_217))]]) ).
cnf(refute_0_6005,plain,
( X_217 != meet(X_217,join(complement(complement(X0)),meet(complement(X0),X_217)))
| complement(complement(X0)) != X0
| X_217 = meet(X_217,join(X0,meet(complement(X0),X_217))) ),
introduced(tautology,[equality,[$cnf( $equal(X_217,meet(X_217,join(complement(complement(X0)),meet(complement(X0),X_217)))) ),[1,1,0],$fot(X0)]]) ).
cnf(refute_0_6006,plain,
( X_217 != meet(X_217,join(complement(complement(X0)),meet(complement(X0),X_217)))
| X_217 = meet(X_217,join(X0,meet(complement(X0),X_217))) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_6005]) ).
cnf(refute_0_6007,plain,
X_217 = meet(X_217,join(X0,meet(complement(X0),X_217))),
inference(resolve,[$cnf( $equal(X_217,meet(X_217,join(complement(complement(X0)),meet(complement(X0),X_217)))) )],[refute_0_6004,refute_0_6006]) ).
cnf(refute_0_6008,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_6007:[bind(X0,$fot(one)),bind(X_217,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6009,plain,
join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) = join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5988:[bind(X2,$fot(meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6010,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_55,$fot(one))]]) ).
cnf(refute_0_6011,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6012,plain,
join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6010,refute_0_6011]) ).
cnf(refute_0_6013,plain,
( join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) != join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),[0,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6014,plain,
( join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) != join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_6012,refute_0_6013]) ).
cnf(refute_0_6015,plain,
join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6009,refute_0_6014]) ).
cnf(refute_0_6016,plain,
( join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != one
| one = join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(one)]]) ).
cnf(refute_0_6017,plain,
( join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))) != join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| one = join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_4399,refute_0_6016]) ).
cnf(refute_0_6018,plain,
one = join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,complement(skolemFOFtoCNF_X0))),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6015,refute_0_6017]) ).
cnf(refute_0_6019,plain,
( one != join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6020,plain,
join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6018,refute_0_6019]) ).
cnf(refute_0_6021,plain,
( join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))) != one
| meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_6022,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),one) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_6020,refute_0_6021]) ).
cnf(refute_0_6023,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(meet(one,complement(skolemFOFtoCNF_X0)),one),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),join(one,meet(complement(one),meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6008,refute_0_6022]) ).
cnf(refute_0_6024,plain,
meet(meet(one,complement(skolemFOFtoCNF_X0)),one) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6025,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),one) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),one)
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) ),[1],$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6026,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(meet(one,complement(skolemFOFtoCNF_X0)),one)
| meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),one),meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6024,refute_0_6025]) ).
cnf(refute_0_6027,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = meet(one,meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),one)) )],[refute_0_6023,refute_0_6026]) ).
cnf(refute_0_6028,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != meet(one,meet(one,complement(skolemFOFtoCNF_X0)))
| meet(one,meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6029,plain,
meet(one,meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6027,refute_0_6028]) ).
cnf(refute_0_6030,plain,
converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6031,plain,
( converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6032,plain,
( meet(one,meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6030,refute_0_6031]) ).
cnf(refute_0_6033,plain,
converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_6029,refute_0_6032]) ).
cnf(refute_0_6034,plain,
complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6035,plain,
( complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6036,plain,
( converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6034,refute_0_6035]) ).
cnf(refute_0_6037,plain,
complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6033,refute_0_6036]) ).
cnf(refute_0_6038,plain,
join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6039,plain,
( complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))
| join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))),join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6040,plain,
( complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))),join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6038,refute_0_6039]) ).
cnf(refute_0_6041,plain,
join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6037,refute_0_6040]) ).
cnf(refute_0_6042,plain,
converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6043,plain,
( converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6044,plain,
( join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6042,refute_0_6043]) ).
cnf(refute_0_6045,plain,
converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))),join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6041,refute_0_6044]) ).
cnf(refute_0_6046,plain,
( converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| top != converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| top = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6047,plain,
( top != converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))
| top = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6045,refute_0_6046]) ).
cnf(refute_0_6048,plain,
top = converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(converse(meet(one,meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6003,refute_0_6047]) ).
cnf(refute_0_6049,plain,
( top != converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6050,plain,
converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6048,refute_0_6049]) ).
cnf(refute_0_6051,plain,
( converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != top
| top != join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| top = join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_6052,plain,
( top != join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| top = join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),top) )],[refute_0_6050,refute_0_6051]) ).
cnf(refute_0_6053,plain,
top = join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))),
inference(resolve,[$cnf( $equal(top,join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_5957,refute_0_6052]) ).
cnf(refute_0_6054,plain,
join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6055,plain,
composition(top,zero) = zero,
inference(subst,[],[refute_0_604:[bind(X0,$fot(top))]]) ).
cnf(refute_0_6056,plain,
composition(top,complement(top)) = composition(top,complement(top)),
introduced(tautology,[refl,[$fot(composition(top,complement(top)))]]) ).
cnf(refute_0_6057,plain,
( complement(top) != zero
| composition(top,complement(top)) != composition(top,complement(top))
| composition(top,complement(top)) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(top)),composition(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_6058,plain,
( complement(top) != zero
| composition(top,complement(top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),composition(top,complement(top))) )],[refute_0_6056,refute_0_6057]) ).
cnf(refute_0_6059,plain,
composition(top,complement(top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6058]) ).
cnf(refute_0_6060,plain,
( composition(top,complement(top)) != composition(top,zero)
| composition(top,zero) != zero
| composition(top,complement(top)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(top,complement(top)))),bind(Y,$fot(composition(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_6061,plain,
( composition(top,zero) != zero
| composition(top,complement(top)) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),composition(top,zero)) )],[refute_0_6059,refute_0_6060]) ).
cnf(refute_0_6062,plain,
composition(top,complement(top)) = zero,
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_6055,refute_0_6061]) ).
cnf(refute_0_6063,plain,
converse(composition(top,complement(top))) = converse(composition(top,complement(top))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(top))))]]) ).
cnf(refute_0_6064,plain,
( composition(top,complement(top)) != zero
| converse(composition(top,complement(top))) != converse(composition(top,complement(top)))
| converse(composition(top,complement(top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(top))),converse(composition(top,complement(top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6065,plain,
( composition(top,complement(top)) != zero
| converse(composition(top,complement(top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(top))),converse(composition(top,complement(top)))) )],[refute_0_6063,refute_0_6064]) ).
cnf(refute_0_6066,plain,
converse(composition(top,complement(top))) = converse(zero),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),zero) )],[refute_0_6062,refute_0_6065]) ).
cnf(refute_0_6067,plain,
( converse(composition(top,complement(top))) != converse(zero)
| converse(zero) != zero
| converse(composition(top,complement(top))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_6068,plain,
( converse(zero) != zero
| converse(composition(top,complement(top))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(top))),converse(zero)) )],[refute_0_6066,refute_0_6067]) ).
cnf(refute_0_6069,plain,
converse(composition(top,complement(top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_6068]) ).
cnf(refute_0_6070,plain,
join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6071,plain,
( converse(composition(top,complement(top))) != zero
| join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6072,plain,
( converse(composition(top,complement(top))) != zero
| join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6070,refute_0_6071]) ).
cnf(refute_0_6073,plain,
join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(top))),zero) )],[refute_0_6069,refute_0_6072]) ).
cnf(refute_0_6074,plain,
( join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6075,plain,
( join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6073,refute_0_6074]) ).
cnf(refute_0_6076,plain,
join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6054,refute_0_6075]) ).
cnf(refute_0_6077,plain,
join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6078,plain,
( join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6079,plain,
( join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6077,refute_0_6078]) ).
cnf(refute_0_6080,plain,
join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6076,refute_0_6079]) ).
cnf(refute_0_6081,plain,
join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))) = join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(one)),bind(X_64,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_65,$fot(converse(composition(top,complement(top)))))]]) ).
cnf(refute_0_6082,plain,
join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) = join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X2,$fot(converse(composition(top,complement(top)))))]]) ).
cnf(refute_0_6083,plain,
( join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) != join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))))
| join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))) != join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) = join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))))),bind(Y,$fot(join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))))),bind(Z,$fot(join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6084,plain,
( join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))) != join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) = join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))),join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))))) )],[refute_0_6082,refute_0_6083]) ).
cnf(refute_0_6085,plain,
join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) = join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))),join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6081,refute_0_6084]) ).
cnf(refute_0_6086,plain,
( join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) != join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))))),bind(Y,$fot(join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6087,plain,
( join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))),join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6085,refute_0_6086]) ).
cnf(refute_0_6088,plain,
join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,complement(top))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6080,refute_0_6087]) ).
cnf(refute_0_6089,plain,
( join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))) != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| top != join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top))))
| top = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top))))) ),[1],$fot(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6090,plain,
( top != join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top))))
| top = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top)))),join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6088,refute_0_6089]) ).
cnf(refute_0_6091,plain,
top = join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(top,join(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(top))))) )],[refute_0_6053,refute_0_6090]) ).
cnf(refute_0_6092,plain,
( top != join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6093,plain,
join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6091,refute_0_6092]) ).
cnf(refute_0_6094,plain,
( complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != top
| complement(top) = meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_6095,plain,
( complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| complement(top) = meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_6093,refute_0_6094]) ).
cnf(refute_0_6096,plain,
complement(top) = meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5948,refute_0_6095]) ).
cnf(refute_0_6097,plain,
( complement(top) != meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| complement(top) != zero
| zero = meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_6098,plain,
( complement(top) != meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6097]) ).
cnf(refute_0_6099,plain,
complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_27,$fot(one))]]) ).
cnf(refute_0_6100,plain,
meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_5014:[bind(X_7,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6101,plain,
( complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6102,plain,
( complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6100,refute_0_6101]) ).
cnf(refute_0_6103,plain,
meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6099,refute_0_6102]) ).
cnf(refute_0_6104,plain,
( meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| zero != meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6105,plain,
( zero != meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6103,refute_0_6104]) ).
cnf(refute_0_6106,plain,
( complement(top) != meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| zero = meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(zero,meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6098,refute_0_6105]) ).
cnf(refute_0_6107,plain,
zero = meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(top),meet(converse(complement(one)),complement(join(one,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6096,refute_0_6106]) ).
cnf(refute_0_6108,plain,
( zero != meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6109,plain,
meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6107,refute_0_6108]) ).
cnf(refute_0_6110,plain,
( join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_328))) != top
| meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != zero
| join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_328))),top) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_6111,plain,
( join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_328))) != top
| join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = top ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),zero) )],[refute_0_6109,refute_0_6110]) ).
cnf(refute_0_6112,plain,
join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_328))),top) )],[refute_0_5947,refute_0_6111]) ).
cnf(refute_0_6113,plain,
join(zero,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6114,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)) = join(zero,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1961:[bind(X_179,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_180,$fot(X_328)),bind(X_9,$fot(zero))]]) ).
cnf(refute_0_6115,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)) != join(zero,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(zero,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)) = join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))),bind(Y,$fot(join(zero,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6116,plain,
( join(zero,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)) = join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)),join(zero,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6114,refute_0_6115]) ).
cnf(refute_0_6117,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)) = join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6113,refute_0_6116]) ).
cnf(refute_0_6118,plain,
join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))))]]) ).
cnf(refute_0_6119,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)) != join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) != join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))
| join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))) ),[1,1],$fot(join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6120,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)) != join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))) )],[refute_0_6118,refute_0_6119]) ).
cnf(refute_0_6121,plain,
join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)),join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6117,refute_0_6120]) ).
cnf(refute_0_6122,plain,
join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),
introduced(tautology,[refl,[$fot(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))))]]) ).
cnf(refute_0_6123,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) != join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))
| join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6124,plain,
( complement(complement(one)) != one
| join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))) )],[refute_0_6122,refute_0_6123]) ).
cnf(refute_0_6125,plain,
join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_6124]) ).
cnf(refute_0_6126,plain,
( join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) != join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))
| join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) != join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))))),bind(Y,$fot(join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))))),bind(Z,$fot(join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6127,plain,
( join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) != join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328)))) )],[refute_0_6125,refute_0_6126]) ).
cnf(refute_0_6128,plain,
join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) = join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6121,refute_0_6127]) ).
cnf(refute_0_6129,plain,
( join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) != join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) != top
| join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),top) ),[0],$fot(join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6130,plain,
( join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))) != top
| join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6128,refute_0_6129]) ).
cnf(refute_0_6131,plain,
join(one,join(X_328,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(one)),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(zero,X_328))),top) )],[refute_0_6112,refute_0_6130]) ).
cnf(refute_0_6132,plain,
join(one,join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = top,
inference(subst,[],[refute_0_6131:[bind(X_328,$fot(X_429))]]) ).
cnf(refute_0_6133,plain,
( complement(one) != join(complement(join(one,join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(one,join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != top
| complement(one) = join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6134,plain,
( complement(one) != join(complement(join(one,join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| complement(one) = join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),top) )],[refute_0_6132,refute_0_6133]) ).
cnf(refute_0_6135,plain,
complement(one) = join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_5930,refute_0_6134]) ).
cnf(refute_0_6136,plain,
join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6137,plain,
join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6138,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6139,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6137,refute_0_6138]) ).
cnf(refute_0_6140,plain,
join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6139]) ).
cnf(refute_0_6141,plain,
( join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6142,plain,
( join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6140,refute_0_6141]) ).
cnf(refute_0_6143,plain,
join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6136,refute_0_6142]) ).
cnf(refute_0_6144,plain,
( complement(one) != join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(one) = meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6145,plain,
( complement(one) != join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| complement(one) = meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6143,refute_0_6144]) ).
cnf(refute_0_6146,plain,
complement(one) = meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),join(X_429,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6135,refute_0_6145]) ).
cnf(refute_0_6147,plain,
complement(one) = meet(complement(one),join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_6146:[bind(X_429,$fot(X_430))]]) ).
cnf(refute_0_6148,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430) = join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X1,$fot(X_430))]]) ).
cnf(refute_0_6149,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430) != join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430))),bind(Y,$fot(join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6150,plain,
join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430),join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6148,refute_0_6149]) ).
cnf(refute_0_6151,plain,
( complement(one) != meet(complement(one),join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430)
| complement(one) = meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430))]]) ).
cnf(refute_0_6152,plain,
( complement(one) != meet(complement(one),join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(one) = meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430)) ),
inference(resolve,[$cnf( $equal(join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430)) )],[refute_0_6150,refute_0_6151]) ).
cnf(refute_0_6153,plain,
complement(one) = meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430)),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(X_430,complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6147,refute_0_6152]) ).
cnf(refute_0_6154,plain,
( complement(one) != meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430))
| meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430)) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430))))]]) ).
cnf(refute_0_6155,plain,
meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430)) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),X_430))) )],[refute_0_6153,refute_0_6154]) ).
cnf(refute_0_6156,plain,
meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = complement(one),
inference(subst,[],[refute_0_6155:[bind(X_430,$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6157,plain,
join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6158,plain,
( join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(one)
| join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_6159,plain,
( meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != complement(one)
| join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,complement(one)) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_6157,refute_0_6158]) ).
cnf(refute_0_6160,plain,
join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,complement(one)),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),complement(one)) )],[refute_0_6156,refute_0_6159]) ).
cnf(refute_0_6161,plain,
( join(one,complement(one)) != top
| join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(one,complement(one))
| join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(one,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_6162,plain,
( join(one,complement(one)) != top
| join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = top ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(one,complement(one))) )],[refute_0_6160,refute_0_6161]) ).
cnf(refute_0_6163,plain,
join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = top,
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_748,refute_0_6162]) ).
cnf(refute_0_6164,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != top
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),top) ),[0],$fot(join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6165,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),top) )],[refute_0_6163,refute_0_6164]) ).
cnf(refute_0_6166,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(one,meet(complement(one),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_5929,refute_0_6165]) ).
cnf(refute_0_6167,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != top
| complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6168,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),top) )],[refute_0_6166,refute_0_6167]) ).
cnf(refute_0_6169,plain,
complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_5566,refute_0_6168]) ).
cnf(refute_0_6170,plain,
complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_303:[bind(X0,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6171,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(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6172,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6170,refute_0_6171]) ).
cnf(refute_0_6173,plain,
join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6174,plain,
meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6175,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6176,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6174,refute_0_6175]) ).
cnf(refute_0_6177,plain,
meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6170,refute_0_6176]) ).
cnf(refute_0_6178,plain,
join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6179,plain,
( join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6180,plain,
( meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6178,refute_0_6179]) ).
cnf(refute_0_6181,plain,
join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6177,refute_0_6180]) ).
cnf(refute_0_6182,plain,
join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6183,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6184,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6182,refute_0_6183]) ).
cnf(refute_0_6185,plain,
join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6184]) ).
cnf(refute_0_6186,plain,
( join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6187,plain,
( join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6185,refute_0_6186]) ).
cnf(refute_0_6188,plain,
join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6181,refute_0_6187]) ).
cnf(refute_0_6189,plain,
( join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6190,plain,
( join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6188,refute_0_6189]) ).
cnf(refute_0_6191,plain,
join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6173,refute_0_6190]) ).
cnf(refute_0_6192,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6193,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6191,refute_0_6192]) ).
cnf(refute_0_6194,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6172,refute_0_6193]) ).
cnf(refute_0_6195,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6169,refute_0_6194]) ).
cnf(refute_0_6196,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_5487:[bind(X_31,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6197,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_6198,plain,
complement(one) = join(complement(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6199,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6200,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(complement(one))),bind(X_7,$fot(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6201,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_139,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6202,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_44,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6203,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X_213,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6204,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != top
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_6205,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_4166,refute_0_6204]) ).
cnf(refute_0_6206,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(join(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6203,refute_0_6205]) ).
cnf(refute_0_6207,plain,
meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X_25,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6208,plain,
join(zero,converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6209,plain,
join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6210,plain,
( complement(top) != zero
| join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(zero,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6211,plain,
( complement(top) != zero
| join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(zero,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6209,refute_0_6210]) ).
cnf(refute_0_6212,plain,
join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(zero,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6211]) ).
cnf(refute_0_6213,plain,
( join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(zero,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(zero,converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(zero,converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6214,plain,
( join(zero,converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(zero,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6212,refute_0_6213]) ).
cnf(refute_0_6215,plain,
join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(zero,converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6208,refute_0_6214]) ).
cnf(refute_0_6216,plain,
join(complement(top),converse(join(complement(one),skolemFOFtoCNF_X0))) = join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_2669:[bind(X0,$fot(complement(top))),bind(X_101,$fot(complement(one))),bind(X_102,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6217,plain,
join(X_180,converse(X_181)) = join(converse(X_181),X_180),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_180)),bind(X1,$fot(converse(X_181)))]]) ).
cnf(refute_0_6218,plain,
( join(X_180,converse(X_181)) != join(converse(X_181),X_180)
| join(converse(X_181),X_180) = join(X_180,converse(X_181)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_180,converse(X_181)))),bind(Y,$fot(join(converse(X_181),X_180)))]]) ).
cnf(refute_0_6219,plain,
join(converse(X_181),X_180) = join(X_180,converse(X_181)),
inference(resolve,[$cnf( $equal(join(X_180,converse(X_181)),join(converse(X_181),X_180)) )],[refute_0_6217,refute_0_6218]) ).
cnf(refute_0_6220,plain,
( converse(join(X_179,join(converse(X_181),X_180))) != join(converse(X_179),join(X_181,converse(X_180)))
| join(converse(X_181),X_180) != join(X_180,converse(X_181))
| converse(join(X_179,join(X_180,converse(X_181)))) = join(converse(X_179),join(X_181,converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_179,join(converse(X_181),X_180))),join(converse(X_179),join(X_181,converse(X_180)))) ),[0,0,1],$fot(join(X_180,converse(X_181)))]]) ).
cnf(refute_0_6221,plain,
( converse(join(X_179,join(converse(X_181),X_180))) != join(converse(X_179),join(X_181,converse(X_180)))
| converse(join(X_179,join(X_180,converse(X_181)))) = join(converse(X_179),join(X_181,converse(X_180))) ),
inference(resolve,[$cnf( $equal(join(converse(X_181),X_180),join(X_180,converse(X_181))) )],[refute_0_6219,refute_0_6220]) ).
cnf(refute_0_6222,plain,
converse(join(X_179,join(X_180,converse(X_181)))) = join(converse(X_179),join(X_181,converse(X_180))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(X_181),X_180))),join(converse(X_179),join(X_181,converse(X_180)))) )],[refute_0_822,refute_0_6221]) ).
cnf(refute_0_6223,plain,
converse(join(X_179,join(X_180,converse(X_181)))) = join(converse(join(X_179,X_180)),X_181),
inference(subst,[],[refute_0_814:[bind(X0,$fot(X_181)),bind(X_63,$fot(X_179)),bind(X_64,$fot(X_180))]]) ).
cnf(refute_0_6224,plain,
( converse(join(X_179,join(X_180,converse(X_181)))) != join(converse(X_179),join(X_181,converse(X_180)))
| converse(join(X_179,join(X_180,converse(X_181)))) != join(converse(join(X_179,X_180)),X_181)
| join(converse(join(X_179,X_180)),X_181) = join(converse(X_179),join(X_181,converse(X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_179,join(X_180,converse(X_181)))),join(converse(X_179),join(X_181,converse(X_180)))) ),[0],$fot(join(converse(join(X_179,X_180)),X_181))]]) ).
cnf(refute_0_6225,plain,
( converse(join(X_179,join(X_180,converse(X_181)))) != join(converse(X_179),join(X_181,converse(X_180)))
| join(converse(join(X_179,X_180)),X_181) = join(converse(X_179),join(X_181,converse(X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(X_180,converse(X_181)))),join(converse(join(X_179,X_180)),X_181)) )],[refute_0_6223,refute_0_6224]) ).
cnf(refute_0_6226,plain,
( converse(join(X_179,join(converse(X_181),X_180))) != join(X_181,converse(join(X_180,X_179)))
| join(converse(X_179),join(X_181,converse(X_180))) != converse(join(X_179,join(converse(X_181),X_180)))
| join(converse(X_179),join(X_181,converse(X_180))) = join(X_181,converse(join(X_180,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(X_179),join(X_181,converse(X_180))))),bind(Y,$fot(converse(join(X_179,join(converse(X_181),X_180))))),bind(Z,$fot(join(X_181,converse(join(X_180,X_179)))))]]) ).
cnf(refute_0_6227,plain,
( converse(join(X_179,join(converse(X_181),X_180))) != join(X_181,converse(join(X_180,X_179)))
| join(converse(X_179),join(X_181,converse(X_180))) = join(X_181,converse(join(X_180,X_179))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(X_181,converse(X_180))),converse(join(X_179,join(converse(X_181),X_180)))) )],[refute_0_824,refute_0_6226]) ).
cnf(refute_0_6228,plain,
join(converse(X_179),join(X_181,converse(X_180))) = join(X_181,converse(join(X_180,X_179))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(X_181),X_180))),join(X_181,converse(join(X_180,X_179)))) )],[refute_0_841,refute_0_6227]) ).
cnf(refute_0_6229,plain,
( join(converse(X_179),join(X_181,converse(X_180))) != join(X_181,converse(join(X_180,X_179)))
| join(converse(join(X_179,X_180)),X_181) != join(converse(X_179),join(X_181,converse(X_180)))
| join(converse(join(X_179,X_180)),X_181) = join(X_181,converse(join(X_180,X_179))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_179,X_180)),X_181),join(converse(X_179),join(X_181,converse(X_180)))) ),[1],$fot(join(X_181,converse(join(X_180,X_179))))]]) ).
cnf(refute_0_6230,plain,
( join(converse(join(X_179,X_180)),X_181) != join(converse(X_179),join(X_181,converse(X_180)))
| join(converse(join(X_179,X_180)),X_181) = join(X_181,converse(join(X_180,X_179))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),join(X_181,converse(X_180))),join(X_181,converse(join(X_180,X_179)))) )],[refute_0_6228,refute_0_6229]) ).
cnf(refute_0_6231,plain,
( converse(join(X_179,join(X_180,converse(X_181)))) != join(converse(X_179),join(X_181,converse(X_180)))
| join(converse(join(X_179,X_180)),X_181) = join(X_181,converse(join(X_180,X_179))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_179,X_180)),X_181),join(converse(X_179),join(X_181,converse(X_180)))) )],[refute_0_6225,refute_0_6230]) ).
cnf(refute_0_6232,plain,
join(converse(join(X_179,X_180)),X_181) = join(X_181,converse(join(X_180,X_179))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(X_180,converse(X_181)))),join(converse(X_179),join(X_181,converse(X_180)))) )],[refute_0_6222,refute_0_6231]) ).
cnf(refute_0_6233,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) = join(complement(top),converse(join(complement(one),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_6232:[bind(X_179,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(complement(one))),bind(X_181,$fot(complement(top)))]]) ).
cnf(refute_0_6234,plain,
( join(complement(top),converse(join(complement(one),skolemFOFtoCNF_X0))) != join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) != join(complement(top),converse(join(complement(one),skolemFOFtoCNF_X0)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) = join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)))),bind(Y,$fot(join(complement(top),converse(join(complement(one),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6235,plain,
( join(complement(top),converse(join(complement(one),skolemFOFtoCNF_X0))) != join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) = join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)),join(complement(top),converse(join(complement(one),skolemFOFtoCNF_X0)))) )],[refute_0_6233,refute_0_6234]) ).
cnf(refute_0_6236,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) = join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(top),converse(join(complement(one),skolemFOFtoCNF_X0))),join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6216,refute_0_6235]) ).
cnf(refute_0_6237,plain,
( join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) != join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)))),bind(Y,$fot(join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6238,plain,
( join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)),join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6236,refute_0_6237]) ).
cnf(refute_0_6239,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(top),converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6215,refute_0_6238]) ).
cnf(refute_0_6240,plain,
meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))))]]) ).
cnf(refute_0_6241,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)))) ),[1,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6242,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)))) )],[refute_0_6240,refute_0_6241]) ).
cnf(refute_0_6243,plain,
meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6239,refute_0_6242]) ).
cnf(refute_0_6244,plain,
( meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))))),bind(Y,$fot(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6245,plain,
( meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6243,refute_0_6244]) ).
cnf(refute_0_6246,plain,
meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6207,refute_0_6245]) ).
cnf(refute_0_6247,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))))]]) ).
cnf(refute_0_6248,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6246,refute_0_6247]) ).
cnf(refute_0_6249,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(top)))) )],[refute_0_6206,refute_0_6248]) ).
cnf(refute_0_6250,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6251,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6249,refute_0_6250]) ).
cnf(refute_0_6252,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6253,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6251,refute_0_6252]) ).
cnf(refute_0_6254,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_6202,refute_0_6253]) ).
cnf(refute_0_6255,plain,
complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_303:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6256,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6257,plain,
( complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6258,plain,
( complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6256,refute_0_6257]) ).
cnf(refute_0_6259,plain,
meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_6255,refute_0_6258]) ).
cnf(refute_0_6260,plain,
meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(X_25,$fot(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6261,plain,
( meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6262,plain,
( meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6260,refute_0_6261]) ).
cnf(refute_0_6263,plain,
meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6259,refute_0_6262]) ).
cnf(refute_0_6264,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6265,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6266,plain,
( meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_6264,refute_0_6265]) ).
cnf(refute_0_6267,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6263,refute_0_6266]) ).
cnf(refute_0_6268,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6269,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one))))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6267,refute_0_6268]) ).
cnf(refute_0_6270,plain,
converse(join(skolemFOFtoCNF_X0,complement(one))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_6254,refute_0_6269]) ).
cnf(refute_0_6271,plain,
( converse(join(skolemFOFtoCNF_X0,complement(one))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6272,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,complement(one))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6270,refute_0_6271]) ).
cnf(refute_0_6273,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6274,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6272,refute_0_6273]) ).
cnf(refute_0_6275,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6201,refute_0_6274]) ).
cnf(refute_0_6276,plain,
converse(join(converse(X0),join(skolemFOFtoCNF_X0,complement(one)))) = join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6277,plain,
join(X0,join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) = join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_46:[bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6278,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_44,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6279,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),
inference(subst,[],[refute_0_3971:[bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_433,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6280,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_44,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6281,plain,
complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_213,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6282,plain,
converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(complement(skolemFOFtoCNF_X0))),bind(X_7,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6283,plain,
( converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != top
| converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6284,plain,
( converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),top) )],[refute_0_5616,refute_0_6283]) ).
cnf(refute_0_6285,plain,
converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6282,refute_0_6284]) ).
cnf(refute_0_6286,plain,
join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6287,plain,
converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_413:[bind(X0,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_7,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6288,plain,
( converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6289,plain,
( join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6287,refute_0_6288]) ).
cnf(refute_0_6290,plain,
converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6286,refute_0_6289]) ).
cnf(refute_0_6291,plain,
( converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != converse(top)
| converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),converse(top)) ),[0],$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6292,plain,
( converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != converse(top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6290,refute_0_6291]) ).
cnf(refute_0_6293,plain,
( converse(top) != top
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_6294,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_6293]) ).
cnf(refute_0_6295,plain,
( converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != converse(top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(top)) )],[refute_0_6292,refute_0_6294]) ).
cnf(refute_0_6296,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),converse(top)) )],[refute_0_6285,refute_0_6295]) ).
cnf(refute_0_6297,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != top
| complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_6298,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_6296,refute_0_6297]) ).
cnf(refute_0_6299,plain,
complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6281,refute_0_6298]) ).
cnf(refute_0_6300,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) ),[0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6301,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6170,refute_0_6300]) ).
cnf(refute_0_6302,plain,
meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6303,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6304,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6302,refute_0_6303]) ).
cnf(refute_0_6305,plain,
meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6170,refute_0_6304]) ).
cnf(refute_0_6306,plain,
join(zero,converse(complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6307,plain,
join(complement(top),converse(complement(skolemFOFtoCNF_X0))) = join(complement(top),converse(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6308,plain,
( complement(top) != zero
| join(complement(top),converse(complement(skolemFOFtoCNF_X0))) != join(complement(top),converse(complement(skolemFOFtoCNF_X0)))
| join(complement(top),converse(complement(skolemFOFtoCNF_X0))) = join(zero,converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),converse(complement(skolemFOFtoCNF_X0))),join(complement(top),converse(complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6309,plain,
( complement(top) != zero
| join(complement(top),converse(complement(skolemFOFtoCNF_X0))) = join(zero,converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(skolemFOFtoCNF_X0))),join(complement(top),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6307,refute_0_6308]) ).
cnf(refute_0_6310,plain,
join(complement(top),converse(complement(skolemFOFtoCNF_X0))) = join(zero,converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6309]) ).
cnf(refute_0_6311,plain,
( join(complement(top),converse(complement(skolemFOFtoCNF_X0))) != join(zero,converse(complement(skolemFOFtoCNF_X0)))
| join(zero,converse(complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(top),converse(complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6312,plain,
( join(zero,converse(complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(top),converse(complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(skolemFOFtoCNF_X0))),join(zero,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6310,refute_0_6311]) ).
cnf(refute_0_6313,plain,
join(complement(top),converse(complement(skolemFOFtoCNF_X0))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6306,refute_0_6312]) ).
cnf(refute_0_6314,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) = join(complement(top),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(top))),bind(X1,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6315,plain,
( join(complement(top),converse(complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) != join(complement(top),converse(complement(skolemFOFtoCNF_X0)))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))),bind(Y,$fot(join(complement(top),converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6316,plain,
( join(complement(top),converse(complement(skolemFOFtoCNF_X0))) != converse(complement(skolemFOFtoCNF_X0))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),join(complement(top),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6314,refute_0_6315]) ).
cnf(refute_0_6317,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(top),converse(complement(skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6313,refute_0_6316]) ).
cnf(refute_0_6318,plain,
meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6319,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) != converse(complement(skolemFOFtoCNF_X0))
| meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6320,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) != converse(complement(skolemFOFtoCNF_X0))
| meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6318,refute_0_6319]) ).
cnf(refute_0_6321,plain,
meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6317,refute_0_6320]) ).
cnf(refute_0_6322,plain,
( meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6323,plain,
( meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6321,refute_0_6322]) ).
cnf(refute_0_6324,plain,
meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6305,refute_0_6323]) ).
cnf(refute_0_6325,plain,
meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))),bind(X_25,$fot(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6326,plain,
( meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) != meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))))),bind(Y,$fot(meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6327,plain,
( meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6325,refute_0_6326]) ).
cnf(refute_0_6328,plain,
meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6324,refute_0_6327]) ).
cnf(refute_0_6329,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))))]]) ).
cnf(refute_0_6330,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6328,refute_0_6329]) ).
cnf(refute_0_6331,plain,
( complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) )],[refute_0_6301,refute_0_6330]) ).
cnf(refute_0_6332,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) )],[refute_0_6299,refute_0_6331]) ).
cnf(refute_0_6333,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6334,plain,
meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6332,refute_0_6333]) ).
cnf(refute_0_6335,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))
| meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| converse(complement(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6336,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_6334,refute_0_6335]) ).
cnf(refute_0_6337,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(meet(converse(complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6280,refute_0_6336]) ).
cnf(refute_0_6338,plain,
meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_25,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6339,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6340,plain,
( join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))
| meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6341,plain,
( meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6339,refute_0_6340]) ).
cnf(refute_0_6342,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6338,refute_0_6341]) ).
cnf(refute_0_6343,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| converse(complement(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6344,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6342,refute_0_6343]) ).
cnf(refute_0_6345,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6337,refute_0_6344]) ).
cnf(refute_0_6346,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6347,plain,
join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6345,refute_0_6346]) ).
cnf(refute_0_6348,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(complement(skolemFOFtoCNF_X0))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) ),[1,1,0,1,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6349,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6347,refute_0_6348]) ).
cnf(refute_0_6350,plain,
complement(meet(one,complement(skolemFOFtoCNF_X0))) = meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) )],[refute_0_6279,refute_0_6349]) ).
cnf(refute_0_6351,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| complement(meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6352,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4553,refute_0_6351]) ).
cnf(refute_0_6353,plain,
complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_55,$fot(complement(converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6354,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = join(complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_32,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6355,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != join(complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != top
| complement(converse(complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6356,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != join(complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(converse(complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_6296,refute_0_6355]) ).
cnf(refute_0_6357,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6354,refute_0_6356]) ).
cnf(refute_0_6358,plain,
join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6359,plain,
join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6360,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6361,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6359,refute_0_6360]) ).
cnf(refute_0_6362,plain,
join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6361]) ).
cnf(refute_0_6363,plain,
( join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6364,plain,
( join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6362,refute_0_6363]) ).
cnf(refute_0_6365,plain,
join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6358,refute_0_6364]) ).
cnf(refute_0_6366,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(converse(complement(skolemFOFtoCNF_X0))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6367,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(converse(complement(skolemFOFtoCNF_X0))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6365,refute_0_6366]) ).
cnf(refute_0_6368,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6357,refute_0_6367]) ).
cnf(refute_0_6369,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6370,plain,
meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6368,refute_0_6369]) ).
cnf(refute_0_6371,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6372,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6370,refute_0_6371]) ).
cnf(refute_0_6373,plain,
complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(converse(complement(skolemFOFtoCNF_X0))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6353,refute_0_6372]) ).
cnf(refute_0_6374,plain,
complement(complement(converse(complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_303:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6375,plain,
meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6376,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6377,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6375,refute_0_6376]) ).
cnf(refute_0_6378,plain,
meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6374,refute_0_6377]) ).
cnf(refute_0_6379,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6380,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6381,plain,
( meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6379,refute_0_6380]) ).
cnf(refute_0_6382,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6378,refute_0_6381]) ).
cnf(refute_0_6383,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6384,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6382,refute_0_6383]) ).
cnf(refute_0_6385,plain,
complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6373,refute_0_6384]) ).
cnf(refute_0_6386,plain,
( complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6387,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6385,refute_0_6386]) ).
cnf(refute_0_6388,plain,
converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6389,plain,
( converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6390,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6388,refute_0_6389]) ).
cnf(refute_0_6391,plain,
converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6387,refute_0_6390]) ).
cnf(refute_0_6392,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))) = converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3774:[bind(X_6,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_7,$fot(complement(converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6393,plain,
( converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))) != converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6394,plain,
( converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))),converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6392,refute_0_6393]) ).
cnf(refute_0_6395,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))) = converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6391,refute_0_6394]) ).
cnf(refute_0_6396,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6397,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))) != converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6398,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))) != converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6396,refute_0_6397]) ).
cnf(refute_0_6399,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6395,refute_0_6398]) ).
cnf(refute_0_6400,plain,
meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6401,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6402,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6400,refute_0_6401]) ).
cnf(refute_0_6403,plain,
meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4553,refute_0_6402]) ).
cnf(refute_0_6404,plain,
( meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6405,plain,
( meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6403,refute_0_6404]) ).
cnf(refute_0_6406,plain,
meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6399,refute_0_6405]) ).
cnf(refute_0_6407,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(skolemFOFtoCNF_X0,complement(one)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6408,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6406,refute_0_6407]) ).
cnf(refute_0_6409,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6352,refute_0_6408]) ).
cnf(refute_0_6410,plain,
join(skolemFOFtoCNF_X0,complement(one)) = meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),meet(complement(meet(one,complement(skolemFOFtoCNF_X0))),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6350,refute_0_6409]) ).
cnf(refute_0_6411,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6412,plain,
meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6410,refute_0_6411]) ).
cnf(refute_0_6413,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))
| meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,complement(one)) = join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6414,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6412,refute_0_6413]) ).
cnf(refute_0_6415,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(meet(join(skolemFOFtoCNF_X0,complement(one)),converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6278,refute_0_6414]) ).
cnf(refute_0_6416,plain,
meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))) = meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(X_25,$fot(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6417,plain,
join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6418,plain,
( join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))
| meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) ),[1,1],$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6419,plain,
( meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))) != meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6417,refute_0_6418]) ).
cnf(refute_0_6420,plain,
join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6416,refute_0_6419]) ).
cnf(refute_0_6421,plain,
join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6422,plain,
( join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) != join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))))
| join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))),join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,1],$fot(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6423,plain,
( join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))),join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_6421,refute_0_6422]) ).
cnf(refute_0_6424,plain,
join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6420,refute_0_6423]) ).
cnf(refute_0_6425,plain,
join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(one))),bind(X2,$fot(meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6426,plain,
( join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))))
| join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) != join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_6427,plain,
( join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) != join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_6425,refute_0_6426]) ).
cnf(refute_0_6428,plain,
join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))),join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6424,refute_0_6427]) ).
cnf(refute_0_6429,plain,
( join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,complement(one)) != join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6430,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6428,refute_0_6429]) ).
cnf(refute_0_6431,plain,
join(skolemFOFtoCNF_X0,complement(one)) = join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(join(skolemFOFtoCNF_X0,complement(one)),meet(complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6415,refute_0_6430]) ).
cnf(refute_0_6432,plain,
( join(skolemFOFtoCNF_X0,complement(one)) != join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(one)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_6433,plain,
join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(one)),join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6431,refute_0_6432]) ).
cnf(refute_0_6434,plain,
( join(X0,join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) != join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) != join(skolemFOFtoCNF_X0,complement(one))
| join(X0,join(skolemFOFtoCNF_X0,complement(one))) = join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) ),[0,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6435,plain,
( join(X0,join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) != join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(X0,join(skolemFOFtoCNF_X0,complement(one))) = join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6433,refute_0_6434]) ).
cnf(refute_0_6436,plain,
join(X0,join(skolemFOFtoCNF_X0,complement(one))) = join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6277,refute_0_6435]) ).
cnf(refute_0_6437,plain,
join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) = join(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6438,plain,
( join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) != join(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),X2)
| join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) = join(join(skolemFOFtoCNF_X0,complement(one)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)),join(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),X2)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6439,plain,
( join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) != join(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),X2)
| join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) = join(join(skolemFOFtoCNF_X0,complement(one)),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6433,refute_0_6438]) ).
cnf(refute_0_6440,plain,
join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) = join(join(skolemFOFtoCNF_X0,complement(one)),X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)),join(join(skolemFOFtoCNF_X0,join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),X2)) )],[refute_0_6437,refute_0_6439]) ).
cnf(refute_0_6441,plain,
join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2) = join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6442,plain,
join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) = join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)))]]) ).
cnf(refute_0_6443,plain,
( join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2) != join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))
| join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) != join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2))
| join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) = join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)),join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2))) ),[1,1],$fot(join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2)))]]) ).
cnf(refute_0_6444,plain,
( join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2) != join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))
| join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) = join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)),join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2))) )],[refute_0_6442,refute_0_6443]) ).
cnf(refute_0_6445,plain,
join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) = join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))),
inference(resolve,[$cnf( $equal(join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2),join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) )],[refute_0_6441,refute_0_6444]) ).
cnf(refute_0_6446,plain,
( join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) != join(join(skolemFOFtoCNF_X0,complement(one)),X2)
| join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) != join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2)))
| join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) = join(join(skolemFOFtoCNF_X0,complement(one)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)),join(join(skolemFOFtoCNF_X0,complement(one)),X2)) ),[0],$fot(join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))))]]) ).
cnf(refute_0_6447,plain,
( join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) != join(join(skolemFOFtoCNF_X0,complement(one)),X2)
| join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) = join(join(skolemFOFtoCNF_X0,complement(one)),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)),join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2)))) )],[refute_0_6445,refute_0_6446]) ).
cnf(refute_0_6448,plain,
join(join(skolemFOFtoCNF_X0,complement(one)),X2) = join(skolemFOFtoCNF_X0,join(complement(one),X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_6449,plain,
( join(join(skolemFOFtoCNF_X0,complement(one)),X2) != join(skolemFOFtoCNF_X0,join(complement(one),X2))
| join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) != join(join(skolemFOFtoCNF_X0,complement(one)),X2)
| join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))),join(join(skolemFOFtoCNF_X0,complement(one)),X2)) ),[1],$fot(join(skolemFOFtoCNF_X0,join(complement(one),X2)))]]) ).
cnf(refute_0_6450,plain,
( join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) != join(join(skolemFOFtoCNF_X0,complement(one)),X2)
| join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(one)),X2),join(skolemFOFtoCNF_X0,join(complement(one),X2))) )],[refute_0_6448,refute_0_6449]) ).
cnf(refute_0_6451,plain,
( join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)) != join(join(skolemFOFtoCNF_X0,complement(one)),X2)
| join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))),join(join(skolemFOFtoCNF_X0,complement(one)),X2)) )],[refute_0_6447,refute_0_6450]) ).
cnf(refute_0_6452,plain,
join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X2))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),X2)),join(join(skolemFOFtoCNF_X0,complement(one)),X2)) )],[refute_0_6440,refute_0_6451]) ).
cnf(refute_0_6453,plain,
join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)),
inference(subst,[],[refute_0_6452:[bind(X2,$fot(X0))]]) ).
cnf(refute_0_6454,plain,
join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6455,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_6456,plain,
complement(one) = join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_4880:[bind(X_90,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6457,plain,
( complement(one) != join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != top
| complement(one) = join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_6458,plain,
( complement(one) != join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| complement(one) = join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_4412,refute_0_6457]) ).
cnf(refute_0_6459,plain,
complement(one) = join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_6456,refute_0_6458]) ).
cnf(refute_0_6460,plain,
join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6461,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6462,plain,
meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6463,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6464,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) )],[refute_0_6462,refute_0_6463]) ).
cnf(refute_0_6465,plain,
meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6461,refute_0_6464]) ).
cnf(refute_0_6466,plain,
join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6467,plain,
( join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6468,plain,
( meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_6466,refute_0_6467]) ).
cnf(refute_0_6469,plain,
join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6465,refute_0_6468]) ).
cnf(refute_0_6470,plain,
join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6471,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6472,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_6470,refute_0_6471]) ).
cnf(refute_0_6473,plain,
join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_6472]) ).
cnf(refute_0_6474,plain,
( join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6475,plain,
( join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_6473,refute_0_6474]) ).
cnf(refute_0_6476,plain,
join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6469,refute_0_6475]) ).
cnf(refute_0_6477,plain,
( join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))),bind(Y,$fot(join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6478,plain,
( join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6476,refute_0_6477]) ).
cnf(refute_0_6479,plain,
join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6460,refute_0_6478]) ).
cnf(refute_0_6480,plain,
( complement(one) != join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| complement(one) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6481,plain,
( complement(one) != join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6479,refute_0_6480]) ).
cnf(refute_0_6482,plain,
complement(one) = meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_6459,refute_0_6481]) ).
cnf(refute_0_6483,plain,
( complement(one) != meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6484,plain,
meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6482,refute_0_6483]) ).
cnf(refute_0_6485,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != complement(one)
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6486,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),complement(one)) )],[refute_0_6484,refute_0_6485]) ).
cnf(refute_0_6487,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(complement(one),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6455,refute_0_6486]) ).
cnf(refute_0_6488,plain,
meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6489,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6490,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6488,refute_0_6489]) ).
cnf(refute_0_6491,plain,
meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_6490]) ).
cnf(refute_0_6492,plain,
join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6493,plain,
( join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6494,plain,
( meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6492,refute_0_6493]) ).
cnf(refute_0_6495,plain,
join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6491,refute_0_6494]) ).
cnf(refute_0_6496,plain,
( join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6497,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6495,refute_0_6496]) ).
cnf(refute_0_6498,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(one)),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6487,refute_0_6497]) ).
cnf(refute_0_6499,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6500,plain,
join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6498,refute_0_6499]) ).
cnf(refute_0_6501,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),X2)
| join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),X2)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6502,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),X2)
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6500,refute_0_6501]) ).
cnf(refute_0_6503,plain,
join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(join(complement(one),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),X2)) )],[refute_0_6454,refute_0_6502]) ).
cnf(refute_0_6504,plain,
join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2) = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6505,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2)
| join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2) != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))) ),[0],$fot(join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2))]]) ).
cnf(refute_0_6506,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2)
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2),join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))) )],[refute_0_6504,refute_0_6505]) ).
cnf(refute_0_6507,plain,
join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_6503,refute_0_6506]) ).
cnf(refute_0_6508,plain,
join(complement(one),join(skolemFOFtoCNF_X0,X2)) = join(skolemFOFtoCNF_X0,join(X2,complement(one))),
inference(subst,[],[refute_0_1961:[bind(X_179,$fot(complement(one))),bind(X_180,$fot(X2)),bind(X_9,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6509,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6510,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6511,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6509,refute_0_6510]) ).
cnf(refute_0_6512,plain,
meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4553,refute_0_6511]) ).
cnf(refute_0_6513,plain,
( meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(one,join(skolemFOFtoCNF_X0,complement(one)))
| skolemFOFtoCNF_X0 != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6514,plain,
( skolemFOFtoCNF_X0 != meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| skolemFOFtoCNF_X0 = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0)))),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6512,refute_0_6513]) ).
cnf(refute_0_6515,plain,
skolemFOFtoCNF_X0 = meet(one,join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(one,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_4541,refute_0_6514]) ).
cnf(refute_0_6516,plain,
( skolemFOFtoCNF_X0 != meet(one,join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6517,plain,
meet(one,join(skolemFOFtoCNF_X0,complement(one))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(one,join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6515,refute_0_6516]) ).
cnf(refute_0_6518,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_139,$fot(complement(one)))]]) ).
cnf(refute_0_6519,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6520,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6521,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6519,refute_0_6520]) ).
cnf(refute_0_6522,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4553,refute_0_6521]) ).
cnf(refute_0_6523,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6524,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6522,refute_0_6523]) ).
cnf(refute_0_6525,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6518,refute_0_6524]) ).
cnf(refute_0_6526,plain,
meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6527,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))
| meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6528,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6526,refute_0_6527]) ).
cnf(refute_0_6529,plain,
meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = meet(one,join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6525,refute_0_6528]) ).
cnf(refute_0_6530,plain,
( meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != meet(one,join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,join(skolemFOFtoCNF_X0,complement(one))) != skolemFOFtoCNF_X0
| meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(one,join(skolemFOFtoCNF_X0,complement(one))))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6531,plain,
( meet(one,join(skolemFOFtoCNF_X0,complement(one))) != skolemFOFtoCNF_X0
| meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),meet(one,join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6529,refute_0_6530]) ).
cnf(refute_0_6532,plain,
meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,complement(one))),skolemFOFtoCNF_X0) )],[refute_0_6517,refute_0_6531]) ).
cnf(refute_0_6533,plain,
join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2) = join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2),
introduced(tautology,[refl,[$fot(join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2))]]) ).
cnf(refute_0_6534,plain,
( join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2) != join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)
| meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != skolemFOFtoCNF_X0
| join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2) = join(skolemFOFtoCNF_X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_6535,plain,
( meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))) != skolemFOFtoCNF_X0
| join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2) = join(skolemFOFtoCNF_X0,X2) ),
inference(resolve,[$cnf( $equal(join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) )],[refute_0_6533,refute_0_6534]) ).
cnf(refute_0_6536,plain,
join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2) = join(skolemFOFtoCNF_X0,X2),
inference(resolve,[$cnf( $equal(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) )],[refute_0_6532,refute_0_6535]) ).
cnf(refute_0_6537,plain,
join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),
introduced(tautology,[refl,[$fot(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)))]]) ).
cnf(refute_0_6538,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2))
| join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2) != join(skolemFOFtoCNF_X0,X2)
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(complement(one),join(skolemFOFtoCNF_X0,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,X2))]]) ).
cnf(refute_0_6539,plain,
( join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2) != join(skolemFOFtoCNF_X0,X2)
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(complement(one),join(skolemFOFtoCNF_X0,X2)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2))) )],[refute_0_6537,refute_0_6538]) ).
cnf(refute_0_6540,plain,
join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(complement(one),join(skolemFOFtoCNF_X0,X2)),
inference(resolve,[$cnf( $equal(join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2),join(skolemFOFtoCNF_X0,X2)) )],[refute_0_6536,refute_0_6539]) ).
cnf(refute_0_6541,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(complement(one),join(skolemFOFtoCNF_X0,X2))
| join(complement(one),join(skolemFOFtoCNF_X0,X2)) != join(skolemFOFtoCNF_X0,join(X2,complement(one)))
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(skolemFOFtoCNF_X0,join(X2,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)))),bind(Y,$fot(join(complement(one),join(skolemFOFtoCNF_X0,X2)))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(X2,complement(one)))))]]) ).
cnf(refute_0_6542,plain,
( join(complement(one),join(skolemFOFtoCNF_X0,X2)) != join(skolemFOFtoCNF_X0,join(X2,complement(one)))
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(skolemFOFtoCNF_X0,join(X2,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(complement(one),join(skolemFOFtoCNF_X0,X2))) )],[refute_0_6540,refute_0_6541]) ).
cnf(refute_0_6543,plain,
join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) = join(skolemFOFtoCNF_X0,join(X2,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0,X2)),join(skolemFOFtoCNF_X0,join(X2,complement(one)))) )],[refute_0_6508,refute_0_6542]) ).
cnf(refute_0_6544,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(skolemFOFtoCNF_X0,join(X2,complement(one)))
| join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))
| join(skolemFOFtoCNF_X0,join(X2,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))) ),[0],$fot(join(skolemFOFtoCNF_X0,join(X2,complement(one))))]]) ).
cnf(refute_0_6545,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))
| join(skolemFOFtoCNF_X0,join(X2,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(skolemFOFtoCNF_X0,join(X2,complement(one)))) )],[refute_0_6543,refute_0_6544]) ).
cnf(refute_0_6546,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_139,$fot(join(complement(one),X2)))]]) ).
cnf(refute_0_6547,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) = join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2),
introduced(tautology,[refl,[$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))]]) ).
cnf(refute_0_6548,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) != join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) = join(join(skolemFOFtoCNF_X0,complement(one)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6549,plain,
( complement(meet(one,complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) = join(join(skolemFOFtoCNF_X0,complement(one)),X2) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2),join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) )],[refute_0_6547,refute_0_6548]) ).
cnf(refute_0_6550,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) = join(join(skolemFOFtoCNF_X0,complement(one)),X2),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4553,refute_0_6549]) ).
cnf(refute_0_6551,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) != join(join(skolemFOFtoCNF_X0,complement(one)),X2)
| join(join(skolemFOFtoCNF_X0,complement(one)),X2) != join(skolemFOFtoCNF_X0,join(complement(one),X2))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))),bind(Y,$fot(join(join(skolemFOFtoCNF_X0,complement(one)),X2))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(one),X2))))]]) ).
cnf(refute_0_6552,plain,
( join(join(skolemFOFtoCNF_X0,complement(one)),X2) != join(skolemFOFtoCNF_X0,join(complement(one),X2))
| join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2),join(join(skolemFOFtoCNF_X0,complement(one)),X2)) )],[refute_0_6550,refute_0_6551]) ).
cnf(refute_0_6553,plain,
join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) = join(skolemFOFtoCNF_X0,join(complement(one),X2)),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,complement(one)),X2),join(skolemFOFtoCNF_X0,join(complement(one),X2))) )],[refute_0_6448,refute_0_6552]) ).
cnf(refute_0_6554,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)))]]) ).
cnf(refute_0_6555,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) != join(skolemFOFtoCNF_X0,join(complement(one),X2))
| join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))
| join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)),join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,join(complement(one),X2)))]]) ).
cnf(refute_0_6556,plain,
( join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2) != join(skolemFOFtoCNF_X0,join(complement(one),X2))
| join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)),join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))) )],[refute_0_6554,refute_0_6555]) ).
cnf(refute_0_6557,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2),join(skolemFOFtoCNF_X0,join(complement(one),X2))) )],[refute_0_6553,refute_0_6556]) ).
cnf(refute_0_6558,plain,
( join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2)))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2))) != join(skolemFOFtoCNF_X0,join(complement(one),X2))
| join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(one),X2))))]]) ).
cnf(refute_0_6559,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2))) != join(skolemFOFtoCNF_X0,join(complement(one),X2))
| join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2)))) )],[refute_0_6557,refute_0_6558]) ).
cnf(refute_0_6560,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) = join(skolemFOFtoCNF_X0,join(complement(one),X2)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(complement(one),X2))),join(skolemFOFtoCNF_X0,join(complement(one),X2))) )],[refute_0_6546,refute_0_6559]) ).
cnf(refute_0_6561,plain,
( join(skolemFOFtoCNF_X0,join(X2,complement(one))) != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))
| join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)) != join(skolemFOFtoCNF_X0,join(complement(one),X2))
| join(skolemFOFtoCNF_X0,join(X2,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(skolemFOFtoCNF_X0,join(X2,complement(one))),join(skolemFOFtoCNF_X0,join(complement(one),X2))) ),[0],$fot(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)))]]) ).
cnf(refute_0_6562,plain,
( join(skolemFOFtoCNF_X0,join(X2,complement(one))) != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))
| join(skolemFOFtoCNF_X0,join(X2,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2)),join(skolemFOFtoCNF_X0,join(complement(one),X2))) )],[refute_0_6560,refute_0_6561]) ).
cnf(refute_0_6563,plain,
( join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)) != join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))
| join(skolemFOFtoCNF_X0,join(X2,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X2,complement(one))),join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))) )],[refute_0_6545,refute_0_6562]) ).
cnf(refute_0_6564,plain,
join(skolemFOFtoCNF_X0,join(X2,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X2)),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,join(skolemFOFtoCNF_X0,complement(meet(one,complement(skolemFOFtoCNF_X0))))),X2)),join(skolemFOFtoCNF_X0,join(complement(meet(one,complement(skolemFOFtoCNF_X0))),X2))) )],[refute_0_6507,refute_0_6563]) ).
cnf(refute_0_6565,plain,
join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))),
inference(subst,[],[refute_0_6564:[bind(X2,$fot(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0)))]]) ).
cnf(refute_0_6566,plain,
( join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))) != join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0)))
| join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(one),X0))))]]) ).
cnf(refute_0_6567,plain,
( join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))),join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0)))) )],[refute_0_6565,refute_0_6566]) ).
cnf(refute_0_6568,plain,
join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))),join(skolemFOFtoCNF_X0,join(complement(one),X0))) )],[refute_0_6453,refute_0_6567]) ).
cnf(refute_0_6569,plain,
join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) = join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))),
inference(subst,[],[refute_0_1961:[bind(X_179,$fot(complement(one))),bind(X_180,$fot(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))),bind(X_9,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6570,plain,
( join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) != join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one)))
| join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(one),X0))))]]) ).
cnf(refute_0_6571,plain,
( join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))),join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one)))) )],[refute_0_6569,refute_0_6570]) ).
cnf(refute_0_6572,plain,
join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0),complement(one))),join(skolemFOFtoCNF_X0,join(complement(one),X0))) )],[refute_0_6568,refute_0_6571]) ).
cnf(refute_0_6573,plain,
join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0)),
inference(subst,[],[refute_0_4145:[bind(X_179,$fot(skolemFOFtoCNF_X0)),bind(X_180,$fot(X0)),bind(X_9,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6574,plain,
join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) = join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6575,plain,
( join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) != join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)))
| join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))
| join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) = join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))),join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)))) ),[1,1],$fot(join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0)))]]) ).
cnf(refute_0_6576,plain,
( join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))
| join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) = join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))),join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)))) )],[refute_0_6574,refute_0_6575]) ).
cnf(refute_0_6577,plain,
join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) = join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))),
inference(resolve,[$cnf( $equal(join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) )],[refute_0_6573,refute_0_6576]) ).
cnf(refute_0_6578,plain,
( join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) != join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0)))
| join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(one),X0))))]]) ).
cnf(refute_0_6579,plain,
( join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))),join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0)))) )],[refute_0_6577,refute_0_6578]) ).
cnf(refute_0_6580,plain,
join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(skolemFOFtoCNF_X0,join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),X0))),join(skolemFOFtoCNF_X0,join(complement(one),X0))) )],[refute_0_6572,refute_0_6579]) ).
cnf(refute_0_6581,plain,
join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) = join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1961:[bind(X_179,$fot(join(X0,skolemFOFtoCNF_X0))),bind(X_180,$fot(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(X_9,$fot(complement(one)))]]) ).
cnf(refute_0_6582,plain,
( join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) != join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)))
| join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,join(complement(one),X0))))]]) ).
cnf(refute_0_6583,plain,
( join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0)))) )],[refute_0_6581,refute_0_6582]) ).
cnf(refute_0_6584,plain,
join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),join(X0,skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,join(complement(one),X0))) )],[refute_0_6580,refute_0_6583]) ).
cnf(refute_0_6585,plain,
( join(X0,join(skolemFOFtoCNF_X0,complement(one))) != join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) != join(skolemFOFtoCNF_X0,join(complement(one),X0))
| join(X0,join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,join(complement(one),X0))) ),[0],$fot(join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6586,plain,
( join(X0,join(skolemFOFtoCNF_X0,complement(one))) != join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))
| join(X0,join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),join(skolemFOFtoCNF_X0,join(complement(one),X0))) )],[refute_0_6584,refute_0_6585]) ).
cnf(refute_0_6587,plain,
join(X0,join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,complement(one))),join(join(X0,skolemFOFtoCNF_X0),join(complement(one),meet(join(skolemFOFtoCNF_X0,complement(one)),complement(converse(complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6436,refute_0_6586]) ).
cnf(refute_0_6588,plain,
join(converse(X0),join(skolemFOFtoCNF_X0,complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),converse(X0))),
inference(subst,[],[refute_0_6587:[bind(X0,$fot(converse(X0)))]]) ).
cnf(refute_0_6589,plain,
( converse(join(converse(X0),join(skolemFOFtoCNF_X0,complement(one)))) != join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(converse(X0),join(skolemFOFtoCNF_X0,complement(one))) != join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))
| converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) = join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(skolemFOFtoCNF_X0,complement(one)))),join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[0,0],$fot(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0))))]]) ).
cnf(refute_0_6590,plain,
( converse(join(converse(X0),join(skolemFOFtoCNF_X0,complement(one)))) != join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) = join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(skolemFOFtoCNF_X0,complement(one))),join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) )],[refute_0_6588,refute_0_6589]) ).
cnf(refute_0_6591,plain,
converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) = join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(skolemFOFtoCNF_X0,complement(one)))),join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6276,refute_0_6590]) ).
cnf(refute_0_6592,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X1,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6593,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_44,$fot(join(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6594,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_213,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6595,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != one
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_6596,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_4126,refute_0_6595]) ).
cnf(refute_0_6597,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(join(converse(skolemFOFtoCNF_X0),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6594,refute_0_6596]) ).
cnf(refute_0_6598,plain,
join(converse(skolemFOFtoCNF_X0),complement(one)) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6599,plain,
meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6600,plain,
( join(converse(skolemFOFtoCNF_X0),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0))
| meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6601,plain,
( join(converse(skolemFOFtoCNF_X0),complement(one)) != join(complement(one),converse(skolemFOFtoCNF_X0))
| meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6599,refute_0_6600]) ).
cnf(refute_0_6602,plain,
meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(one)),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_6598,refute_0_6601]) ).
cnf(refute_0_6603,plain,
meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))) = meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(converse(skolemFOFtoCNF_X0),complement(one)))),bind(X_25,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6604,plain,
( meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))) != meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))))),bind(Y,$fot(meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6605,plain,
( meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))),meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6603,refute_0_6604]) ).
cnf(refute_0_6606,plain,
meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(join(converse(skolemFOFtoCNF_X0),complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6602,refute_0_6605]) ).
cnf(refute_0_6607,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one)))
| meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))))]]) ).
cnf(refute_0_6608,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one)))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6606,refute_0_6607]) ).
cnf(refute_0_6609,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(one)))) )],[refute_0_6597,refute_0_6608]) ).
cnf(refute_0_6610,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6611,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6609,refute_0_6610]) ).
cnf(refute_0_6612,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6613,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6611,refute_0_6612]) ).
cnf(refute_0_6614,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_6593,refute_0_6613]) ).
cnf(refute_0_6615,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6616,plain,
( complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6617,plain,
( complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6615,refute_0_6616]) ).
cnf(refute_0_6618,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_6255,refute_0_6617]) ).
cnf(refute_0_6619,plain,
meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(X_25,$fot(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6620,plain,
( meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6621,plain,
( meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6619,refute_0_6620]) ).
cnf(refute_0_6622,plain,
meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6618,refute_0_6621]) ).
cnf(refute_0_6623,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6624,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6625,plain,
( meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_6623,refute_0_6624]) ).
cnf(refute_0_6626,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6622,refute_0_6625]) ).
cnf(refute_0_6627,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),converse(skolemFOFtoCNF_X0)) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))) ),[1],$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6628,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6626,refute_0_6627]) ).
cnf(refute_0_6629,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_6614,refute_0_6628]) ).
cnf(refute_0_6630,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6631,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6629,refute_0_6630]) ).
cnf(refute_0_6632,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2)) ),[1,0],$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6633,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_6631,refute_0_6632]) ).
cnf(refute_0_6634,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2)) )],[refute_0_6592,refute_0_6633]) ).
cnf(refute_0_6635,plain,
join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(complement(one))),bind(X1,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6636,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2)
| join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2) != join(complement(one),join(converse(skolemFOFtoCNF_X0),X2))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(complement(one),join(converse(skolemFOFtoCNF_X0),X2))) ),[0],$fot(join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2))]]) ).
cnf(refute_0_6637,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X2)) ),
inference(resolve,[$cnf( $equal(join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2),join(complement(one),join(converse(skolemFOFtoCNF_X0),X2))) )],[refute_0_6635,refute_0_6636]) ).
cnf(refute_0_6638,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X2)),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(join(complement(one),converse(skolemFOFtoCNF_X0)),X2)) )],[refute_0_6634,refute_0_6637]) ).
cnf(refute_0_6639,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X1,$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6640,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2)) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6641,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6272,refute_0_6640]) ).
cnf(refute_0_6642,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),X2)) )],[refute_0_6639,refute_0_6641]) ).
cnf(refute_0_6643,plain,
converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) = converse(join(X_101,join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))),
inference(subst,[],[refute_0_3357:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6644,plain,
complement(one) = join(complement(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_3488:[bind(X_7,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6645,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) = converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_64,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6646,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_44,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6647,plain,
( meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6648,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4208,refute_0_6647]) ).
cnf(refute_0_6649,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6646,refute_0_6648]) ).
cnf(refute_0_6650,plain,
meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))) = meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_25,$fot(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6651,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6652,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6653,plain,
( meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))) != meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6651,refute_0_6652]) ).
cnf(refute_0_6654,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6650,refute_0_6653]) ).
cnf(refute_0_6655,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))) ),[1],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6656,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))
| meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0)))),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6654,refute_0_6655]) ).
cnf(refute_0_6657,plain,
meet(one,complement(skolemFOFtoCNF_X0)) = join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6649,refute_0_6656]) ).
cnf(refute_0_6658,plain,
( meet(one,complement(skolemFOFtoCNF_X0)) != join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6659,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6657,refute_0_6658]) ).
cnf(refute_0_6660,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) != converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6661,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) != converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_6659,refute_0_6660]) ).
cnf(refute_0_6662,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6645,refute_0_6661]) ).
cnf(refute_0_6663,plain,
join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_4582:[bind(X2,$fot(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6664,plain,
converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6665,plain,
( converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6666,plain,
( join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6664,refute_0_6665]) ).
cnf(refute_0_6667,plain,
converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6663,refute_0_6666]) ).
cnf(refute_0_6668,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) != converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) = converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))))),bind(Y,$fot(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6669,plain,
( converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) = converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))),converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6645,refute_0_6668]) ).
cnf(refute_0_6670,plain,
converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) = converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_6667,refute_0_6669]) ).
cnf(refute_0_6671,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) != converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6672,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))),converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_6670,refute_0_6671]) ).
cnf(refute_0_6673,plain,
converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6674,plain,
( converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| join(one,meet(one,complement(skolemFOFtoCNF_X0))) != one
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6675,plain,
( join(one,meet(one,complement(skolemFOFtoCNF_X0))) != one
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6673,refute_0_6674]) ).
cnf(refute_0_6676,plain,
converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = converse(one),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(skolemFOFtoCNF_X0))),one) )],[refute_0_4579,refute_0_6675]) ).
cnf(refute_0_6677,plain,
( converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) != converse(one)
| converse(one) != one
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_6678,plain,
( converse(one) != one
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),converse(one)) )],[refute_0_6676,refute_0_6677]) ).
cnf(refute_0_6679,plain,
converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_6678]) ).
cnf(refute_0_6680,plain,
( converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))) != one
| converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = one ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),one) ),[0],$fot(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6681,plain,
( converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(one,complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_6679,refute_0_6680]) ).
cnf(refute_0_6682,plain,
( converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))) != converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6672,refute_0_6681]) ).
cnf(refute_0_6683,plain,
converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = one,
inference(resolve,[$cnf( $equal(converse(join(meet(one,complement(skolemFOFtoCNF_X0)),join(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one))),converse(join(one,meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_6662,refute_0_6682]) ).
cnf(refute_0_6684,plain,
( complement(one) != join(complement(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != one
| complement(one) = join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_6685,plain,
( complement(one) != join(complement(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| complement(one) = join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),one) )],[refute_0_6683,refute_0_6684]) ).
cnf(refute_0_6686,plain,
complement(one) = join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(join(one,meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6644,refute_0_6685]) ).
cnf(refute_0_6687,plain,
( complement(one) != join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_6688,plain,
join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_6686,refute_0_6687]) ).
cnf(refute_0_6689,plain,
( converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) != converse(join(X_101,join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))
| join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(one)
| converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) = converse(join(X_101,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))),converse(join(X_101,join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))) ),[1,0,1],$fot(complement(one))]]) ).
cnf(refute_0_6690,plain,
( converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) != converse(join(X_101,join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))
| converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) = converse(join(X_101,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),complement(one)) )],[refute_0_6688,refute_0_6689]) ).
cnf(refute_0_6691,plain,
converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) = converse(join(X_101,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))),converse(join(X_101,join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))))) )],[refute_0_6643,refute_0_6690]) ).
cnf(refute_0_6692,plain,
join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X2)) = join(join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_6693,plain,
( join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X2)) != join(join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),X2)
| join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(one)
| join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X2)) = join(complement(one),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X2)),join(join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),X2)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6694,plain,
( join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X2)) != join(join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),X2)
| join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X2)) = join(complement(one),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),complement(one)) )],[refute_0_6688,refute_0_6693]) ).
cnf(refute_0_6695,plain,
join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X2)) = join(complement(one),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X2)),join(join(complement(one),meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),X2)) )],[refute_0_6692,refute_0_6694]) ).
cnf(refute_0_6696,plain,
join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101)) = join(complement(one),X_101),
inference(subst,[],[refute_0_6695:[bind(X2,$fot(X_101))]]) ).
cnf(refute_0_6697,plain,
converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) = converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))))]]) ).
cnf(refute_0_6698,plain,
( converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) != converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101)))
| join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101)) != join(complement(one),X_101)
| converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) = converse(join(complement(one),X_101)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))),converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101)))) ),[1,0],$fot(join(complement(one),X_101))]]) ).
cnf(refute_0_6699,plain,
( join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101)) != join(complement(one),X_101)
| converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) = converse(join(complement(one),X_101)) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))),converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101)))) )],[refute_0_6697,refute_0_6698]) ).
cnf(refute_0_6700,plain,
converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) = converse(join(complement(one),X_101)),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101)),join(complement(one),X_101)) )],[refute_0_6696,refute_0_6699]) ).
cnf(refute_0_6701,plain,
( converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) != converse(join(X_101,complement(one)))
| converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) != converse(join(complement(one),X_101))
| converse(join(complement(one),X_101)) = converse(join(X_101,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))),converse(join(X_101,complement(one)))) ),[0],$fot(converse(join(complement(one),X_101)))]]) ).
cnf(refute_0_6702,plain,
( converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))) != converse(join(X_101,complement(one)))
| converse(join(complement(one),X_101)) = converse(join(X_101,complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))),converse(join(complement(one),X_101))) )],[refute_0_6700,refute_0_6701]) ).
cnf(refute_0_6703,plain,
converse(join(complement(one),X_101)) = converse(join(X_101,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(meet(complement(one),converse(meet(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),X_101))),converse(join(X_101,complement(one)))) )],[refute_0_6691,refute_0_6702]) ).
cnf(refute_0_6704,plain,
converse(join(complement(one),skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(subst,[],[refute_0_6703:[bind(X_101,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6705,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(complement(one),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_5561:[bind(X_494,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6706,plain,
( converse(join(complement(one),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(complement(one),skolemFOFtoCNF_X0))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(join(complement(one),skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_6707,plain,
( converse(join(complement(one),skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(complement(one),skolemFOFtoCNF_X0))) )],[refute_0_6705,refute_0_6706]) ).
cnf(refute_0_6708,plain,
join(complement(one),converse(skolemFOFtoCNF_X0)) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6704,refute_0_6707]) ).
cnf(refute_0_6709,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6710,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6711,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6709,refute_0_6710]) ).
cnf(refute_0_6712,plain,
meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6708,refute_0_6711]) ).
cnf(refute_0_6713,plain,
join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) = join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2),
introduced(tautology,[refl,[$fot(join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2))]]) ).
cnf(refute_0_6714,plain,
( join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) != join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)
| meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) ),[1,0],$fot(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6715,plain,
( meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_6713,refute_0_6714]) ).
cnf(refute_0_6716,plain,
join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) = join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2),
inference(resolve,[$cnf( $equal(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6712,refute_0_6715]) ).
cnf(refute_0_6717,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),
introduced(tautology,[refl,[$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)))]]) ).
cnf(refute_0_6718,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2))
| join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2))) ),[1,1],$fot(join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2))]]) ).
cnf(refute_0_6719,plain,
( join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2) != join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2))) )],[refute_0_6717,refute_0_6718]) ).
cnf(refute_0_6720,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),
inference(resolve,[$cnf( $equal(join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_6716,refute_0_6719]) ).
cnf(refute_0_6721,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)))),bind(Y,$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)))),bind(Z,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2)))]]) ).
cnf(refute_0_6722,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2)
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2))) )],[refute_0_6720,refute_0_6721]) ).
cnf(refute_0_6723,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2)) )],[refute_0_6642,refute_0_6722]) ).
cnf(refute_0_6724,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(complement(one),join(converse(skolemFOFtoCNF_X0),X2))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2)
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(complement(one),join(converse(skolemFOFtoCNF_X0),X2))) ),[0],$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2))]]) ).
cnf(refute_0_6725,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) != join(complement(one),join(converse(skolemFOFtoCNF_X0),X2))
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2)) )],[refute_0_6723,refute_0_6724]) ).
cnf(refute_0_6726,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),X2) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X2)),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)),join(complement(one),join(converse(skolemFOFtoCNF_X0),X2))) )],[refute_0_6638,refute_0_6725]) ).
cnf(refute_0_6727,plain,
join(converse(join(skolemFOFtoCNF_X0,complement(one))),X0) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)),
inference(subst,[],[refute_0_6726:[bind(X2,$fot(X0))]]) ).
cnf(refute_0_6728,plain,
converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) = join(converse(join(skolemFOFtoCNF_X0,complement(one))),X0),
inference(subst,[],[refute_0_814:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(complement(one)))]]) ).
cnf(refute_0_6729,plain,
( converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) != join(converse(join(skolemFOFtoCNF_X0,complement(one))),X0)
| join(converse(join(skolemFOFtoCNF_X0,complement(one))),X0) != join(complement(one),join(converse(skolemFOFtoCNF_X0),X0))
| converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))))),bind(Y,$fot(join(converse(join(skolemFOFtoCNF_X0,complement(one))),X0))),bind(Z,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),X0))))]]) ).
cnf(refute_0_6730,plain,
( join(converse(join(skolemFOFtoCNF_X0,complement(one))),X0) != join(complement(one),join(converse(skolemFOFtoCNF_X0),X0))
| converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))),join(converse(join(skolemFOFtoCNF_X0,complement(one))),X0)) )],[refute_0_6728,refute_0_6729]) ).
cnf(refute_0_6731,plain,
converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(join(converse(join(skolemFOFtoCNF_X0,complement(one))),X0),join(complement(one),join(converse(skolemFOFtoCNF_X0),X0))) )],[refute_0_6727,refute_0_6730]) ).
cnf(refute_0_6732,plain,
( converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) != join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),X0))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)) = join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))),join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)))]]) ).
cnf(refute_0_6733,plain,
( converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))) != join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)) = join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))),join(complement(one),join(converse(skolemFOFtoCNF_X0),X0))) )],[refute_0_6731,refute_0_6732]) ).
cnf(refute_0_6734,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)) = join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(complement(one),converse(X0)))),join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6591,refute_0_6733]) ).
cnf(refute_0_6735,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)) != join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)))),bind(Y,$fot(join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_6736,plain,
join(X0,converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),X0)),join(X0,converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6734,refute_0_6735]) ).
cnf(refute_0_6737,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_6736:[bind(X0,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6738,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6739,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6737,refute_0_6738]) ).
cnf(refute_0_6740,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6741,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6272,refute_0_6740]) ).
cnf(refute_0_6742,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6739,refute_0_6741]) ).
cnf(refute_0_6743,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6275,refute_0_6742]) ).
cnf(refute_0_6744,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6745,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6743,refute_0_6744]) ).
cnf(refute_0_6746,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = converse(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6200,refute_0_6745]) ).
cnf(refute_0_6747,plain,
complement(join(complement(X_279),X_65)) = meet(complement(join(complement(X_279),X_65)),join(X_279,complement(join(X_279,join(complement(X_279),X_65))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(X_279)),bind(X_213,$fot(join(complement(X_279),X_65)))]]) ).
cnf(refute_0_6748,plain,
join(X_279,join(complement(X_279),X_65)) = top,
inference(subst,[],[refute_0_4779:[bind(X_63,$fot(X_279))]]) ).
cnf(refute_0_6749,plain,
( complement(join(complement(X_279),X_65)) != meet(complement(join(complement(X_279),X_65)),join(X_279,complement(join(X_279,join(complement(X_279),X_65)))))
| join(X_279,join(complement(X_279),X_65)) != top
| complement(join(complement(X_279),X_65)) = meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_279),X_65)),meet(complement(join(complement(X_279),X_65)),join(X_279,complement(join(X_279,join(complement(X_279),X_65)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_6750,plain,
( complement(join(complement(X_279),X_65)) != meet(complement(join(complement(X_279),X_65)),join(X_279,complement(join(X_279,join(complement(X_279),X_65)))))
| complement(join(complement(X_279),X_65)) = meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) ),
inference(resolve,[$cnf( $equal(join(X_279,join(complement(X_279),X_65)),top) )],[refute_0_6748,refute_0_6749]) ).
cnf(refute_0_6751,plain,
complement(join(complement(X_279),X_65)) = meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),X_65)),meet(complement(join(complement(X_279),X_65)),join(X_279,complement(join(X_279,join(complement(X_279),X_65)))))) )],[refute_0_6747,refute_0_6750]) ).
cnf(refute_0_6752,plain,
complement(join(complement(X_279),X_65)) = meet(X_279,complement(X_65)),
inference(subst,[],[refute_0_4505:[bind(X0,$fot(X_279)),bind(X_27,$fot(X_65))]]) ).
cnf(refute_0_6753,plain,
( complement(join(complement(X_279),X_65)) != meet(X_279,complement(X_65))
| complement(join(complement(X_279),X_65)) != meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top)))
| meet(X_279,complement(X_65)) = meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_279),X_65)),meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top)))) ),[0],$fot(meet(X_279,complement(X_65)))]]) ).
cnf(refute_0_6754,plain,
( complement(join(complement(X_279),X_65)) != meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top)))
| meet(X_279,complement(X_65)) = meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),X_65)),meet(X_279,complement(X_65))) )],[refute_0_6752,refute_0_6753]) ).
cnf(refute_0_6755,plain,
meet(X_279,complement(join(complement(X_279),X_65))) = meet(X_279,complement(join(complement(X_279),X_65))),
introduced(tautology,[refl,[$fot(meet(X_279,complement(join(complement(X_279),X_65))))]]) ).
cnf(refute_0_6756,plain,
( complement(join(complement(X_279),X_65)) != meet(X_279,complement(X_65))
| meet(X_279,complement(join(complement(X_279),X_65))) != meet(X_279,complement(join(complement(X_279),X_65)))
| meet(X_279,complement(join(complement(X_279),X_65))) = meet(X_279,meet(X_279,complement(X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_279,complement(join(complement(X_279),X_65))),meet(X_279,complement(join(complement(X_279),X_65)))) ),[1,1],$fot(meet(X_279,complement(X_65)))]]) ).
cnf(refute_0_6757,plain,
( complement(join(complement(X_279),X_65)) != meet(X_279,complement(X_65))
| meet(X_279,complement(join(complement(X_279),X_65))) = meet(X_279,meet(X_279,complement(X_65))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(complement(X_279),X_65))),meet(X_279,complement(join(complement(X_279),X_65)))) )],[refute_0_6755,refute_0_6756]) ).
cnf(refute_0_6758,plain,
meet(X_279,complement(join(complement(X_279),X_65))) = meet(X_279,meet(X_279,complement(X_65))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),X_65)),meet(X_279,complement(X_65))) )],[refute_0_6752,refute_0_6757]) ).
cnf(refute_0_6759,plain,
meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) = meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))),
introduced(tautology,[refl,[$fot(meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))))]]) ).
cnf(refute_0_6760,plain,
( join(X_279,complement(top)) != X_279
| meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) != meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65)))
| meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) = meet(X_279,complement(join(complement(X_279),X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))),meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65)))) ),[1,0],$fot(X_279)]]) ).
cnf(refute_0_6761,plain,
( join(X_279,complement(top)) != X_279
| meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) = meet(X_279,complement(join(complement(X_279),X_65))) ),
inference(resolve,[$cnf( $equal(meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))),meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65)))) )],[refute_0_6759,refute_0_6760]) ).
cnf(refute_0_6762,plain,
meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) = meet(X_279,complement(join(complement(X_279),X_65))),
inference(resolve,[$cnf( $equal(join(X_279,complement(top)),X_279) )],[refute_0_4520,refute_0_6761]) ).
cnf(refute_0_6763,plain,
( meet(X_279,complement(join(complement(X_279),X_65))) != meet(X_279,meet(X_279,complement(X_65)))
| meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) != meet(X_279,complement(join(complement(X_279),X_65)))
| meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) = meet(X_279,meet(X_279,complement(X_65))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))))),bind(Y,$fot(meet(X_279,complement(join(complement(X_279),X_65))))),bind(Z,$fot(meet(X_279,meet(X_279,complement(X_65)))))]]) ).
cnf(refute_0_6764,plain,
( meet(X_279,complement(join(complement(X_279),X_65))) != meet(X_279,meet(X_279,complement(X_65)))
| meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) = meet(X_279,meet(X_279,complement(X_65))) ),
inference(resolve,[$cnf( $equal(meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))),meet(X_279,complement(join(complement(X_279),X_65)))) )],[refute_0_6762,refute_0_6763]) ).
cnf(refute_0_6765,plain,
meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) = meet(X_279,meet(X_279,complement(X_65))),
inference(resolve,[$cnf( $equal(meet(X_279,complement(join(complement(X_279),X_65))),meet(X_279,meet(X_279,complement(X_65)))) )],[refute_0_6758,refute_0_6764]) ).
cnf(refute_0_6766,plain,
meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) = meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(X_279,complement(top)))),bind(X_25,$fot(complement(join(complement(X_279),X_65))))]]) ).
cnf(refute_0_6767,plain,
( meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) != meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65)))
| meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) != meet(X_279,meet(X_279,complement(X_65)))
| meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) = meet(X_279,meet(X_279,complement(X_65))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))))),bind(Y,$fot(meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))))),bind(Z,$fot(meet(X_279,meet(X_279,complement(X_65)))))]]) ).
cnf(refute_0_6768,plain,
( meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))) != meet(X_279,meet(X_279,complement(X_65)))
| meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) = meet(X_279,meet(X_279,complement(X_65))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))),meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65)))) )],[refute_0_6766,refute_0_6767]) ).
cnf(refute_0_6769,plain,
meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) = meet(X_279,meet(X_279,complement(X_65))),
inference(resolve,[$cnf( $equal(meet(join(X_279,complement(top)),complement(join(complement(X_279),X_65))),meet(X_279,meet(X_279,complement(X_65)))) )],[refute_0_6765,refute_0_6768]) ).
cnf(refute_0_6770,plain,
( meet(X_279,complement(X_65)) != meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top)))
| meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))) != meet(X_279,meet(X_279,complement(X_65)))
| meet(X_279,complement(X_65)) = meet(X_279,meet(X_279,complement(X_65))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_279,complement(X_65)),meet(X_279,meet(X_279,complement(X_65)))) ),[0],$fot(meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))))]]) ).
cnf(refute_0_6771,plain,
( meet(X_279,complement(X_65)) != meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top)))
| meet(X_279,complement(X_65)) = meet(X_279,meet(X_279,complement(X_65))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top))),meet(X_279,meet(X_279,complement(X_65)))) )],[refute_0_6769,refute_0_6770]) ).
cnf(refute_0_6772,plain,
( complement(join(complement(X_279),X_65)) != meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top)))
| meet(X_279,complement(X_65)) = meet(X_279,meet(X_279,complement(X_65))) ),
inference(resolve,[$cnf( $equal(meet(X_279,complement(X_65)),meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top)))) )],[refute_0_6754,refute_0_6771]) ).
cnf(refute_0_6773,plain,
meet(X_279,complement(X_65)) = meet(X_279,meet(X_279,complement(X_65))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_279),X_65)),meet(complement(join(complement(X_279),X_65)),join(X_279,complement(top)))) )],[refute_0_6751,refute_0_6772]) ).
cnf(refute_0_6774,plain,
( meet(X_279,complement(X_65)) != meet(X_279,meet(X_279,complement(X_65)))
| meet(X_279,meet(X_279,complement(X_65))) = meet(X_279,complement(X_65)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_279,complement(X_65)))),bind(Y,$fot(meet(X_279,meet(X_279,complement(X_65)))))]]) ).
cnf(refute_0_6775,plain,
meet(X_279,meet(X_279,complement(X_65))) = meet(X_279,complement(X_65)),
inference(resolve,[$cnf( $equal(meet(X_279,complement(X_65)),meet(X_279,meet(X_279,complement(X_65)))) )],[refute_0_6773,refute_0_6774]) ).
cnf(refute_0_6776,plain,
meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_6775:[bind(X_279,$fot(one)),bind(X_65,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6777,plain,
complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6778,plain,
( complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6779,plain,
( meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6777,refute_0_6778]) ).
cnf(refute_0_6780,plain,
complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_6776,refute_0_6779]) ).
cnf(refute_0_6781,plain,
join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(one)),bind(X1,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6782,plain,
( complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6783,plain,
( complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6781,refute_0_6782]) ).
cnf(refute_0_6784,plain,
join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6780,refute_0_6783]) ).
cnf(refute_0_6785,plain,
converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6786,plain,
( converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6787,plain,
( join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6785,refute_0_6786]) ).
cnf(refute_0_6788,plain,
converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_6784,refute_0_6787]) ).
cnf(refute_0_6789,plain,
join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6790,plain,
( converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6791,plain,
( converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6789,refute_0_6790]) ).
cnf(refute_0_6792,plain,
join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_6788,refute_0_6791]) ).
cnf(refute_0_6793,plain,
converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = converse(join(X_499,join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3357:[bind(X0,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X1,$fot(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_101,$fot(X_499))]]) ).
cnf(refute_0_6794,plain,
( converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) != converse(join(X_499,join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),converse(join(X_499,join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0,1],$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6795,plain,
( converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) != converse(join(X_499,join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_6631,refute_0_6794]) ).
cnf(refute_0_6796,plain,
converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),converse(join(X_499,join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6793,refute_0_6795]) ).
cnf(refute_0_6797,plain,
converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))) = join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(complement(one))),bind(X_180,$fot(X_499)),bind(X_181,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6798,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499)) = join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499)),
inference(subst,[],[refute_0_6638:[bind(X2,$fot(X_499))]]) ).
cnf(refute_0_6799,plain,
converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),
introduced(tautology,[refl,[$fot(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))))]]) ).
cnf(refute_0_6800,plain,
( converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) != converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499)))
| join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499)) != join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))
| converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499)))) ),[1,0],$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499)))]]) ).
cnf(refute_0_6801,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499)) != join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))
| converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499)))) )],[refute_0_6799,refute_0_6800]) ).
cnf(refute_0_6802,plain,
converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499)),join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))) )],[refute_0_6798,refute_0_6801]) ).
cnf(refute_0_6803,plain,
( converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) != converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499)))
| converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))) != join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one))))
| converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))))),bind(Y,$fot(converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one))))))]]) ).
cnf(refute_0_6804,plain,
( converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))) != join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one))))
| converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499)))) )],[refute_0_6802,refute_0_6803]) ).
cnf(refute_0_6805,plain,
converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) = join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),X_499))),join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one))))) )],[refute_0_6797,refute_0_6804]) ).
cnf(refute_0_6806,plain,
( converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) != converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))
| converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) != join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one))))
| join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) = converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))))]]) ).
cnf(refute_0_6807,plain,
( converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) != converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) = converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one))))) )],[refute_0_6805,refute_0_6806]) ).
cnf(refute_0_6808,plain,
converse(join(X_497,join(X_498,converse(X_7)))) = converse(join(converse(X_7),join(X_497,X_498))),
inference(subst,[],[refute_0_3357:[bind(X0,$fot(X_497)),bind(X1,$fot(X_498)),bind(X_101,$fot(converse(X_7)))]]) ).
cnf(refute_0_6809,plain,
join(X_498,join(X_497,converse(X_7))) = join(X_497,join(X_498,converse(X_7))),
inference(subst,[],[refute_0_3143:[bind(X_101,$fot(X_498)),bind(X_102,$fot(X_497))]]) ).
cnf(refute_0_6810,plain,
( join(X_498,join(X_497,converse(X_7))) != join(X_497,join(X_498,converse(X_7)))
| join(X_497,join(X_498,converse(X_7))) = join(X_498,join(X_497,converse(X_7))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_498,join(X_497,converse(X_7))))),bind(Y,$fot(join(X_497,join(X_498,converse(X_7)))))]]) ).
cnf(refute_0_6811,plain,
join(X_497,join(X_498,converse(X_7))) = join(X_498,join(X_497,converse(X_7))),
inference(resolve,[$cnf( $equal(join(X_498,join(X_497,converse(X_7))),join(X_497,join(X_498,converse(X_7)))) )],[refute_0_6809,refute_0_6810]) ).
cnf(refute_0_6812,plain,
( converse(join(X_497,join(X_498,converse(X_7)))) != converse(join(converse(X_7),join(X_497,X_498)))
| join(X_497,join(X_498,converse(X_7))) != join(X_498,join(X_497,converse(X_7)))
| converse(join(X_498,join(X_497,converse(X_7)))) = converse(join(converse(X_7),join(X_497,X_498))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_497,join(X_498,converse(X_7)))),converse(join(converse(X_7),join(X_497,X_498)))) ),[0,0],$fot(join(X_498,join(X_497,converse(X_7))))]]) ).
cnf(refute_0_6813,plain,
( converse(join(X_497,join(X_498,converse(X_7)))) != converse(join(converse(X_7),join(X_497,X_498)))
| converse(join(X_498,join(X_497,converse(X_7)))) = converse(join(converse(X_7),join(X_497,X_498))) ),
inference(resolve,[$cnf( $equal(join(X_497,join(X_498,converse(X_7))),join(X_498,join(X_497,converse(X_7)))) )],[refute_0_6811,refute_0_6812]) ).
cnf(refute_0_6814,plain,
converse(join(X_498,join(X_497,converse(X_7)))) = converse(join(converse(X_7),join(X_497,X_498))),
inference(resolve,[$cnf( $equal(converse(join(X_497,join(X_498,converse(X_7)))),converse(join(converse(X_7),join(X_497,X_498)))) )],[refute_0_6808,refute_0_6813]) ).
cnf(refute_0_6815,plain,
converse(join(X_498,join(X_497,converse(X_7)))) = join(converse(join(X_498,X_497)),X_7),
inference(subst,[],[refute_0_814:[bind(X0,$fot(X_7)),bind(X_63,$fot(X_498)),bind(X_64,$fot(X_497))]]) ).
cnf(refute_0_6816,plain,
( converse(join(X_498,join(X_497,converse(X_7)))) != converse(join(converse(X_7),join(X_497,X_498)))
| converse(join(X_498,join(X_497,converse(X_7)))) != join(converse(join(X_498,X_497)),X_7)
| join(converse(join(X_498,X_497)),X_7) = converse(join(converse(X_7),join(X_497,X_498))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_498,join(X_497,converse(X_7)))),converse(join(converse(X_7),join(X_497,X_498)))) ),[0],$fot(join(converse(join(X_498,X_497)),X_7))]]) ).
cnf(refute_0_6817,plain,
( converse(join(X_498,join(X_497,converse(X_7)))) != converse(join(converse(X_7),join(X_497,X_498)))
| join(converse(join(X_498,X_497)),X_7) = converse(join(converse(X_7),join(X_497,X_498))) ),
inference(resolve,[$cnf( $equal(converse(join(X_498,join(X_497,converse(X_7)))),join(converse(join(X_498,X_497)),X_7)) )],[refute_0_6815,refute_0_6816]) ).
cnf(refute_0_6818,plain,
converse(join(converse(X_7),join(X_497,X_498))) = join(X_7,converse(join(X_497,X_498))),
inference(subst,[],[refute_0_413:[bind(X0,$fot(X_7)),bind(X_7,$fot(join(X_497,X_498)))]]) ).
cnf(refute_0_6819,plain,
( converse(join(converse(X_7),join(X_497,X_498))) != join(X_7,converse(join(X_497,X_498)))
| join(converse(join(X_498,X_497)),X_7) != converse(join(converse(X_7),join(X_497,X_498)))
| join(converse(join(X_498,X_497)),X_7) = join(X_7,converse(join(X_497,X_498))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_498,X_497)),X_7),converse(join(converse(X_7),join(X_497,X_498)))) ),[1],$fot(join(X_7,converse(join(X_497,X_498))))]]) ).
cnf(refute_0_6820,plain,
( join(converse(join(X_498,X_497)),X_7) != converse(join(converse(X_7),join(X_497,X_498)))
| join(converse(join(X_498,X_497)),X_7) = join(X_7,converse(join(X_497,X_498))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_7),join(X_497,X_498))),join(X_7,converse(join(X_497,X_498)))) )],[refute_0_6818,refute_0_6819]) ).
cnf(refute_0_6821,plain,
( converse(join(X_498,join(X_497,converse(X_7)))) != converse(join(converse(X_7),join(X_497,X_498)))
| join(converse(join(X_498,X_497)),X_7) = join(X_7,converse(join(X_497,X_498))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_498,X_497)),X_7),converse(join(converse(X_7),join(X_497,X_498)))) )],[refute_0_6817,refute_0_6820]) ).
cnf(refute_0_6822,plain,
join(converse(join(X_498,X_497)),X_7) = join(X_7,converse(join(X_497,X_498))),
inference(resolve,[$cnf( $equal(converse(join(X_498,join(X_497,converse(X_7)))),converse(join(converse(X_7),join(X_497,X_498)))) )],[refute_0_6814,refute_0_6821]) ).
cnf(refute_0_6823,plain,
join(converse(join(X_499,complement(one))),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))),
inference(subst,[],[refute_0_6822:[bind(X_497,$fot(complement(one))),bind(X_498,$fot(X_499)),bind(X_7,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6824,plain,
converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(converse(join(X_499,complement(one))),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_814:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_63,$fot(X_499)),bind(X_64,$fot(complement(one)))]]) ).
cnf(refute_0_6825,plain,
( converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) != join(converse(join(X_499,complement(one))),skolemFOFtoCNF_X0)
| join(converse(join(X_499,complement(one))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499)))
| converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(converse(join(X_499,complement(one))),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499)))))]]) ).
cnf(refute_0_6826,plain,
( join(converse(join(X_499,complement(one))),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499)))
| converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))) ),
inference(resolve,[$cnf( $equal(converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))),join(converse(join(X_499,complement(one))),skolemFOFtoCNF_X0)) )],[refute_0_6824,refute_0_6825]) ).
cnf(refute_0_6827,plain,
converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))),
inference(resolve,[$cnf( $equal(join(converse(join(X_499,complement(one))),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499)))) )],[refute_0_6823,refute_0_6826]) ).
cnf(refute_0_6828,plain,
( converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499)))
| join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) != converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))),converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))) ),[1],$fot(join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))))]]) ).
cnf(refute_0_6829,plain,
( join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) != converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))) ),
inference(resolve,[$cnf( $equal(converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499)))) )],[refute_0_6827,refute_0_6828]) ).
cnf(refute_0_6830,plain,
( converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))) != converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))),converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_6807,refute_0_6829]) ).
cnf(refute_0_6831,plain,
join(skolemFOFtoCNF_X0,converse(join(X_499,complement(one)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),X_499))),
inference(resolve,[$cnf( $equal(converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(join(complement(one),converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X_499))),converse(join(X_499,join(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_6796,refute_0_6830]) ).
cnf(refute_0_6832,plain,
join(skolemFOFtoCNF_X0,converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_6831:[bind(X_499,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6833,plain,
converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(complement(one))),bind(X_180,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_181,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_6834,plain,
( converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one))))
| join(skolemFOFtoCNF_X0,converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))) != join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6835,plain,
( join(skolemFOFtoCNF_X0,converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))) != join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one))))) )],[refute_0_6833,refute_0_6834]) ).
cnf(refute_0_6836,plain,
converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(one)))),join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6832,refute_0_6835]) ).
cnf(refute_0_6837,plain,
( converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))))),bind(Y,$fot(converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_6838,plain,
( converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6200,refute_0_6837]) ).
cnf(refute_0_6839,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6836,refute_0_6838]) ).
cnf(refute_0_6840,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6841,plain,
( join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_6839,refute_0_6840]) ).
cnf(refute_0_6842,plain,
converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6792,refute_0_6841]) ).
cnf(refute_0_6843,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != converse(converse(join(skolemFOFtoCNF_X0,complement(one))))
| converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6844,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != converse(converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6842,refute_0_6843]) ).
cnf(refute_0_6845,plain,
converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_6846,plain,
( converse(converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(skolemFOFtoCNF_X0,complement(one))
| join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6847,plain,
( join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6845,refute_0_6846]) ).
cnf(refute_0_6848,plain,
( converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != converse(converse(join(skolemFOFtoCNF_X0,complement(one))))
| join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6844,refute_0_6847]) ).
cnf(refute_0_6849,plain,
join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(converse(join(join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6746,refute_0_6848]) ).
cnf(refute_0_6850,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(one))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0,1],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_6851,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6849,refute_0_6850]) ).
cnf(refute_0_6852,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_6199,refute_0_6851]) ).
cnf(refute_0_6853,plain,
join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(X_181,converse(join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))))),
inference(subst,[],[refute_0_852:[bind(X_179,$fot(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))))]]) ).
cnf(refute_0_6854,plain,
one = join(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))),bind(X_44,$fot(one))]]) ).
cnf(refute_0_6855,plain,
complement(complement(one)) = meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),
inference(subst,[],[refute_0_3971:[bind(X1,$fot(complement(one))),bind(X_433,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))]]) ).
cnf(refute_0_6856,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_55,$fot(converse(complement(one))))]]) ).
cnf(refute_0_6857,plain,
complement(complement(converse(complement(one)))) = meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_213,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_6858,plain,
converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) = converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one)))))),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(complement(skolemFOFtoCNF_X0))),bind(X_7,$fot(converse(complement(converse(complement(one))))))]]) ).
cnf(refute_0_6859,plain,
( converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))) != top
| converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_6860,plain,
( converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) != converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))
| converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))),top) )],[refute_0_3911,refute_0_6859]) ).
cnf(refute_0_6861,plain,
converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))),converse(join(complement(skolemFOFtoCNF_X0),converse(complement(converse(complement(one))))))) )],[refute_0_6858,refute_0_6860]) ).
cnf(refute_0_6862,plain,
join(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_6863,plain,
converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) = join(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_413:[bind(X0,$fot(complement(converse(complement(one))))),bind(X_7,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6864,plain,
( converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) != join(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))
| converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))]]) ).
cnf(refute_0_6865,plain,
( join(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))
| converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))),join(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6863,refute_0_6864]) ).
cnf(refute_0_6866,plain,
converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) = join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) )],[refute_0_6862,refute_0_6865]) ).
cnf(refute_0_6867,plain,
( converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) != converse(top)
| converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) != join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))),converse(top)) ),[0],$fot(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))]]) ).
cnf(refute_0_6868,plain,
( converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) != converse(top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))),join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) )],[refute_0_6866,refute_0_6867]) ).
cnf(refute_0_6869,plain,
( converse(top) != top
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != converse(top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_6870,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != converse(top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_6869]) ).
cnf(refute_0_6871,plain,
( converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))) != converse(top)
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),converse(top)) )],[refute_0_6868,refute_0_6870]) ).
cnf(refute_0_6872,plain,
join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(complement(one)))),complement(skolemFOFtoCNF_X0))),converse(top)) )],[refute_0_6861,refute_0_6871]) ).
cnf(refute_0_6873,plain,
( complement(complement(converse(complement(one)))) != meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))
| join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != top
| complement(complement(converse(complement(one)))) = meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_6874,plain,
( complement(complement(converse(complement(one)))) != meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))
| complement(complement(converse(complement(one)))) = meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),top) )],[refute_0_6872,refute_0_6873]) ).
cnf(refute_0_6875,plain,
complement(complement(converse(complement(one)))) = meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(join(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) )],[refute_0_6857,refute_0_6874]) ).
cnf(refute_0_6876,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| complement(complement(converse(complement(one)))) != meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| converse(complement(one)) = meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) ),[0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_6877,plain,
( complement(complement(converse(complement(one)))) != meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| converse(complement(one)) = meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),converse(complement(one))) )],[refute_0_3544,refute_0_6876]) ).
cnf(refute_0_6878,plain,
meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),
introduced(tautology,[refl,[$fot(meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))))]]) ).
cnf(refute_0_6879,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) != converse(complement(skolemFOFtoCNF_X0))
| meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) != meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) ),[1,1],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6880,plain,
( join(converse(complement(skolemFOFtoCNF_X0)),complement(top)) != converse(complement(skolemFOFtoCNF_X0))
| meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) )],[refute_0_6878,refute_0_6879]) ).
cnf(refute_0_6881,plain,
meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(complement(skolemFOFtoCNF_X0)),complement(top)),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6317,refute_0_6880]) ).
cnf(refute_0_6882,plain,
meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))))]]) ).
cnf(refute_0_6883,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) != meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_6884,plain,
( complement(complement(converse(complement(one)))) != converse(complement(one))
| meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) )],[refute_0_6882,refute_0_6883]) ).
cnf(refute_0_6885,plain,
meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),converse(complement(one))) )],[refute_0_3544,refute_0_6884]) ).
cnf(refute_0_6886,plain,
( meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) != meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) != meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))))),bind(Y,$fot(meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))))),bind(Z,$fot(meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6887,plain,
( meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) != meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) )],[refute_0_6885,refute_0_6886]) ).
cnf(refute_0_6888,plain,
meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6881,refute_0_6887]) ).
cnf(refute_0_6889,plain,
( converse(complement(one)) != meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))) != meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))
| converse(complement(one)) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))))]]) ).
cnf(refute_0_6890,plain,
( converse(complement(one)) != meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| converse(complement(one)) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top))),meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6888,refute_0_6889]) ).
cnf(refute_0_6891,plain,
( complement(complement(converse(complement(one)))) != meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))
| converse(complement(one)) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) )],[refute_0_6877,refute_0_6890]) ).
cnf(refute_0_6892,plain,
converse(complement(one)) = meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(one)))),meet(complement(complement(converse(complement(one)))),join(converse(complement(skolemFOFtoCNF_X0)),complement(top)))) )],[refute_0_6875,refute_0_6891]) ).
cnf(refute_0_6893,plain,
( converse(complement(one)) != meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))
| meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) = converse(complement(one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6894,plain,
meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6892,refute_0_6893]) ).
cnf(refute_0_6895,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))
| meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))) != converse(complement(one))
| converse(complement(skolemFOFtoCNF_X0)) = join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_6896,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),converse(complement(one))) )],[refute_0_6894,refute_0_6895]) ).
cnf(refute_0_6897,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(meet(converse(complement(one)),converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6856,refute_0_6896]) ).
cnf(refute_0_6898,plain,
meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_25,$fot(complement(converse(complement(one)))))]]) ).
cnf(refute_0_6899,plain,
join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6900,plain,
( join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) != join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))
| meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))
| join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))]]) ).
cnf(refute_0_6901,plain,
( meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))
| join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6899,refute_0_6900]) ).
cnf(refute_0_6902,plain,
join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) = join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) )],[refute_0_6898,refute_0_6901]) ).
cnf(refute_0_6903,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))
| join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))) != join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))
| converse(complement(skolemFOFtoCNF_X0)) = join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) ),[0],$fot(join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6904,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0)))),join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) )],[refute_0_6902,refute_0_6903]) ).
cnf(refute_0_6905,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(complement(one)),meet(complement(converse(complement(one))),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6897,refute_0_6904]) ).
cnf(refute_0_6906,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))
| join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_6907,plain,
join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) )],[refute_0_6905,refute_0_6906]) ).
cnf(refute_0_6908,plain,
( complement(complement(one)) != meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))
| join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != converse(complement(skolemFOFtoCNF_X0))
| complement(complement(one)) = meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))) ),[1,1,0,1,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6909,plain,
( complement(complement(one)) != meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))
| complement(complement(one)) = meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6907,refute_0_6908]) ).
cnf(refute_0_6910,plain,
complement(complement(one)) = meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(join(converse(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))) )],[refute_0_6855,refute_0_6909]) ).
cnf(refute_0_6911,plain,
( complement(complement(one)) != meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| complement(complement(one)) != one
| one = meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_6912,plain,
( complement(complement(one)) != meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| one = meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_6911]) ).
cnf(refute_0_6913,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))) = converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),
inference(subst,[],[refute_0_3774:[bind(X_6,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),bind(X_7,$fot(complement(converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6914,plain,
meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6915,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))) != converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))
| meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_6916,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))) != converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))
| meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6914,refute_0_6915]) ).
cnf(refute_0_6917,plain,
meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))),converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) )],[refute_0_6913,refute_0_6916]) ).
cnf(refute_0_6918,plain,
meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6919,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6920,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6918,refute_0_6919]) ).
cnf(refute_0_6921,plain,
meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_6920]) ).
cnf(refute_0_6922,plain,
( meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))
| meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_6923,plain,
( meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))
| meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6921,refute_0_6922]) ).
cnf(refute_0_6924,plain,
meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),
inference(resolve,[$cnf( $equal(meet(one,converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) )],[refute_0_6917,refute_0_6923]) ).
cnf(refute_0_6925,plain,
( meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))) != meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))
| one != meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| one = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) ),[1],$fot(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))]]) ).
cnf(refute_0_6926,plain,
( one != meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| one = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0)))))),meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) )],[refute_0_6924,refute_0_6925]) ).
cnf(refute_0_6927,plain,
( complement(complement(one)) != meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))
| one = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(one,meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6912,refute_0_6926]) ).
cnf(refute_0_6928,plain,
one = meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),meet(complement(complement(one)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),complement(converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6910,refute_0_6927]) ).
cnf(refute_0_6929,plain,
( one != meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))
| meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_6930,plain,
meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) )],[refute_0_6928,refute_0_6929]) ).
cnf(refute_0_6931,plain,
( meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) != one
| one != join(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))
| one = join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6932,plain,
( one != join(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))
| one = join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one) )],[refute_0_6930,refute_0_6931]) ).
cnf(refute_0_6933,plain,
one = join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))) )],[refute_0_6854,refute_0_6932]) ).
cnf(refute_0_6934,plain,
meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one) = meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_6935,plain,
join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)) = join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)),
introduced(tautology,[refl,[$fot(join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)))]]) ).
cnf(refute_0_6936,plain,
( join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)) != join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))
| meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one) != meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))
| join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)) = join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)),join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))) ),[1,1],$fot(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_6937,plain,
( meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one) != meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))
| join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)) = join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)),join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))) )],[refute_0_6935,refute_0_6936]) ).
cnf(refute_0_6938,plain,
join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)) = join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one),meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) )],[refute_0_6934,refute_0_6937]) ).
cnf(refute_0_6939,plain,
( join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)) != join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))
| one != join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))
| one = join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))) ),[1],$fot(join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))))]]) ).
cnf(refute_0_6940,plain,
( one != join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))
| one = join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one)),join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))) )],[refute_0_6938,refute_0_6939]) ).
cnf(refute_0_6941,plain,
one = join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),
inference(resolve,[$cnf( $equal(one,join(one,meet(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),one))) )],[refute_0_6933,refute_0_6940]) ).
cnf(refute_0_6942,plain,
( one != join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))
| join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))))]]) ).
cnf(refute_0_6943,plain,
join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = one,
inference(resolve,[$cnf( $equal(one,join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))) )],[refute_0_6941,refute_0_6942]) ).
cnf(refute_0_6944,plain,
( join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) != join(X_181,converse(join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))))
| join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) != one
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(X_181,converse(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(X_181,converse(join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))))) ),[1,1,0],$fot(one)]]) ).
cnf(refute_0_6945,plain,
( join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) != join(X_181,converse(join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))))
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(X_181,converse(one)) ),
inference(resolve,[$cnf( $equal(join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),one) )],[refute_0_6943,refute_0_6944]) ).
cnf(refute_0_6946,plain,
join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(X_181,converse(one)),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(X_181,converse(join(one,meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))))) )],[refute_0_6853,refute_0_6945]) ).
cnf(refute_0_6947,plain,
join(X_181,converse(one)) = join(X_181,converse(one)),
introduced(tautology,[refl,[$fot(join(X_181,converse(one)))]]) ).
cnf(refute_0_6948,plain,
( converse(one) != one
| join(X_181,converse(one)) != join(X_181,converse(one))
| join(X_181,converse(one)) = join(X_181,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_181,converse(one)),join(X_181,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_6949,plain,
( converse(one) != one
| join(X_181,converse(one)) = join(X_181,one) ),
inference(resolve,[$cnf( $equal(join(X_181,converse(one)),join(X_181,converse(one))) )],[refute_0_6947,refute_0_6948]) ).
cnf(refute_0_6950,plain,
join(X_181,converse(one)) = join(X_181,one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_6949]) ).
cnf(refute_0_6951,plain,
( join(X_181,converse(one)) != join(X_181,one)
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) != join(X_181,converse(one))
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(X_181,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(X_181,converse(one))) ),[1],$fot(join(X_181,one))]]) ).
cnf(refute_0_6952,plain,
( join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) != join(X_181,converse(one))
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(X_181,one) ),
inference(resolve,[$cnf( $equal(join(X_181,converse(one)),join(X_181,one)) )],[refute_0_6950,refute_0_6951]) ).
cnf(refute_0_6953,plain,
join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(X_181,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(X_181,converse(one))) )],[refute_0_6946,refute_0_6952]) ).
cnf(refute_0_6954,plain,
join(zero,X_181) = X_181,
inference(subst,[],[refute_0_178:[bind(X_31,$fot(X_181))]]) ).
cnf(refute_0_6955,plain,
one = join(meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(complement(converse(complement(skolemFOFtoCNF_X0))))),bind(X_44,$fot(one))]]) ).
cnf(refute_0_6956,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_3479:[bind(X_222,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_223,$fot(meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_6957,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_6958,plain,
complement(complement(converse(complement(skolemFOFtoCNF_X0)))) = join(complement(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(converse(complement(skolemFOFtoCNF_X0))))),bind(X_32,$fot(meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6959,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(one,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6960,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_6961,plain,
complement(one) = join(complement(converse(join(one,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3488:[bind(X_7,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6962,plain,
( complement(one) != join(complement(converse(join(one,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))
| join(one,complement(skolemFOFtoCNF_X0)) != top
| complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(converse(join(one,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))) ),[1,0,0,0],$fot(top)]]) ).
cnf(refute_0_6963,plain,
( complement(one) != join(complement(converse(join(one,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))
| complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_3261,refute_0_6962]) ).
cnf(refute_0_6964,plain,
complement(one) = join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(join(one,complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6961,refute_0_6963]) ).
cnf(refute_0_6965,plain,
join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) = meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6966,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6967,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) != join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))
| join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_6968,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6966,refute_0_6967]) ).
cnf(refute_0_6969,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) = join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_6968]) ).
cnf(refute_0_6970,plain,
( join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) != join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))
| join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) != meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) = meet(complement(one),converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6971,plain,
( join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) != meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) = meet(complement(one),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6969,refute_0_6970]) ).
cnf(refute_0_6972,plain,
join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) = meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6965,refute_0_6971]) ).
cnf(refute_0_6973,plain,
( complement(one) != join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))
| join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) != meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))
| complement(one) = meet(complement(one),converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6974,plain,
( complement(one) != join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6972,refute_0_6973]) ).
cnf(refute_0_6975,plain,
complement(one) = meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(converse(top)),meet(complement(one),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6964,refute_0_6974]) ).
cnf(refute_0_6976,plain,
( complement(one) != meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))
| meet(complement(one),converse(complement(skolemFOFtoCNF_X0))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6977,plain,
meet(complement(one),converse(complement(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6975,refute_0_6976]) ).
cnf(refute_0_6978,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))
| meet(complement(one),converse(complement(skolemFOFtoCNF_X0))) != complement(one)
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_6979,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_6977,refute_0_6978]) ).
cnf(refute_0_6980,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(meet(complement(one),converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6960,refute_0_6979]) ).
cnf(refute_0_6981,plain,
meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))) = meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6982,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))) != meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))) = meet(one,converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_6983,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))) = meet(one,converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6981,refute_0_6982]) ).
cnf(refute_0_6984,plain,
meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))) = meet(one,converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_6983]) ).
cnf(refute_0_6985,plain,
join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6986,plain,
( join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(meet(one,converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_6987,plain,
( meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6985,refute_0_6986]) ).
cnf(refute_0_6988,plain,
join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_6984,refute_0_6987]) ).
cnf(refute_0_6989,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(skolemFOFtoCNF_X0)),join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_6990,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6988,refute_0_6989]) ).
cnf(refute_0_6991,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(complement(one),meet(complement(complement(one)),converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6980,refute_0_6990]) ).
cnf(refute_0_6992,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_6993,plain,
join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6991,refute_0_6992]) ).
cnf(refute_0_6994,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| complement(complement(one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_6995,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| complement(complement(one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6993,refute_0_6994]) ).
cnf(refute_0_6996,plain,
complement(complement(one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,converse(complement(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6959,refute_0_6995]) ).
cnf(refute_0_6997,plain,
( complement(complement(one)) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| complement(complement(one)) != one
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(one)]]) ).
cnf(refute_0_6998,plain,
( complement(complement(one)) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_6997]) ).
cnf(refute_0_6999,plain,
meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))) = meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7000,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))) != meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))) = meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7001,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))) = meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_6999,refute_0_7000]) ).
cnf(refute_0_7002,plain,
meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))) = meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_7001]) ).
cnf(refute_0_7003,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7004,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))) != meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7005,plain,
( meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))) != meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7003,refute_0_7004]) ).
cnf(refute_0_7006,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_7002,refute_0_7005]) ).
cnf(refute_0_7007,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7008,plain,
( one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7006,refute_0_7007]) ).
cnf(refute_0_7009,plain,
( complement(complement(one)) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6998,refute_0_7008]) ).
cnf(refute_0_7010,plain,
one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_6996,refute_0_7009]) ).
cnf(refute_0_7011,plain,
( one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7012,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7010,refute_0_7011]) ).
cnf(refute_0_7013,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != join(complement(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) != one
| complement(complement(converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),join(complement(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_7014,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != join(complement(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| complement(complement(converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))),one) )],[refute_0_7012,refute_0_7013]) ).
cnf(refute_0_7015,plain,
complement(complement(converse(complement(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),join(complement(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_6958,refute_0_7014]) ).
cnf(refute_0_7016,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7017,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6374,refute_0_7016]) ).
cnf(refute_0_7018,plain,
meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) = meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7019,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) != meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) = meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7020,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) = meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7018,refute_0_7019]) ).
cnf(refute_0_7021,plain,
meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) = meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6374,refute_0_7020]) ).
cnf(refute_0_7022,plain,
join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7023,plain,
( join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) != meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7024,plain,
( meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))) != meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_7022,refute_0_7023]) ).
cnf(refute_0_7025,plain,
join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7021,refute_0_7024]) ).
cnf(refute_0_7026,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(skolemFOFtoCNF_X0)),join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7027,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_7025,refute_0_7026]) ).
cnf(refute_0_7028,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_7017,refute_0_7027]) ).
cnf(refute_0_7029,plain,
converse(complement(skolemFOFtoCNF_X0)) = join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_7015,refute_0_7028]) ).
cnf(refute_0_7030,plain,
( converse(complement(skolemFOFtoCNF_X0)) != join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7031,plain,
join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_7029,refute_0_7030]) ).
cnf(refute_0_7032,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) != converse(complement(skolemFOFtoCNF_X0))
| complement(complement(one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7033,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| complement(complement(one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_7031,refute_0_7032]) ).
cnf(refute_0_7034,plain,
complement(complement(one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_6957,refute_0_7033]) ).
cnf(refute_0_7035,plain,
( complement(complement(one)) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| complement(complement(one)) != one
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_7036,plain,
( complement(complement(one)) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_7035]) ).
cnf(refute_0_7037,plain,
meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7038,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) != meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7039,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_7037,refute_0_7038]) ).
cnf(refute_0_7040,plain,
meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) = meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_7039]) ).
cnf(refute_0_7041,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7042,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) != meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7043,plain,
( meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))) != meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_7041,refute_0_7042]) ).
cnf(refute_0_7044,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) )],[refute_0_7040,refute_0_7043]) ).
cnf(refute_0_7045,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) ),[1],$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7046,plain,
( one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_7044,refute_0_7045]) ).
cnf(refute_0_7047,plain,
( complement(complement(one)) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_7036,refute_0_7046]) ).
cnf(refute_0_7048,plain,
one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_7034,refute_0_7047]) ).
cnf(refute_0_7049,plain,
( one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7050,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_7048,refute_0_7049]) ).
cnf(refute_0_7051,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != meet(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))) != one
| complement(converse(complement(skolemFOFtoCNF_X0))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_7052,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != meet(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))))
| complement(converse(complement(skolemFOFtoCNF_X0))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),one) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))),one) )],[refute_0_7050,refute_0_7051]) ).
cnf(refute_0_7053,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = meet(complement(converse(complement(skolemFOFtoCNF_X0))),one),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,meet(converse(complement(skolemFOFtoCNF_X0)),meet(one,meet(one,converse(complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_6956,refute_0_7052]) ).
cnf(refute_0_7054,plain,
meet(complement(converse(complement(skolemFOFtoCNF_X0))),one) = meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7055,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != meet(complement(converse(complement(skolemFOFtoCNF_X0))),one)
| meet(complement(converse(complement(skolemFOFtoCNF_X0))),one) != meet(one,complement(converse(complement(skolemFOFtoCNF_X0))))
| complement(converse(complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(complement(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(complement(converse(complement(skolemFOFtoCNF_X0))),one))]]) ).
cnf(refute_0_7056,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != meet(complement(converse(complement(skolemFOFtoCNF_X0))),one)
| complement(converse(complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(skolemFOFtoCNF_X0))),one),meet(one,complement(converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_7054,refute_0_7055]) ).
cnf(refute_0_7057,plain,
complement(converse(complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(converse(complement(skolemFOFtoCNF_X0))),one)) )],[refute_0_7053,refute_0_7056]) ).
cnf(refute_0_7058,plain,
( complement(converse(complement(skolemFOFtoCNF_X0))) != meet(one,complement(converse(complement(skolemFOFtoCNF_X0))))
| meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))) = complement(converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(one,complement(converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7059,plain,
meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))) = complement(converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_7057,refute_0_7058]) ).
cnf(refute_0_7060,plain,
( meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))) != complement(converse(complement(skolemFOFtoCNF_X0)))
| one != join(meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))) ),[1,0],$fot(complement(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7061,plain,
( one != join(meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))),complement(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_7059,refute_0_7060]) ).
cnf(refute_0_7062,plain,
one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(complement(skolemFOFtoCNF_X0)))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_6955,refute_0_7061]) ).
cnf(refute_0_7063,plain,
meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))) = meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7064,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))) != meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))) = meet(one,converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))),meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7065,plain,
( complement(complement(converse(complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))) = meet(one,converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))),meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7063,refute_0_7064]) ).
cnf(refute_0_7066,plain,
meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))) = meet(one,converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6374,refute_0_7065]) ).
cnf(refute_0_7067,plain,
meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one) = meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(complement(converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7068,plain,
( meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one) != meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0)))))
| meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one) = meet(one,converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))),bind(Y,$fot(meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7069,plain,
( meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one) = meet(one,converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one),meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7067,refute_0_7068]) ).
cnf(refute_0_7070,plain,
meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one) = meet(one,converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(converse(complement(skolemFOFtoCNF_X0))))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_7066,refute_0_7069]) ).
cnf(refute_0_7071,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)))]]) ).
cnf(refute_0_7072,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))
| meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))) ),[1,1],$fot(meet(one,converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7073,plain,
( meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_7071,refute_0_7072]) ).
cnf(refute_0_7074,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_7070,refute_0_7073]) ).
cnf(refute_0_7075,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0))))
| one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))) ),[1],$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7076,plain,
( one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))
| one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one)),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_7074,refute_0_7075]) ).
cnf(refute_0_7077,plain,
one = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(complement(complement(converse(complement(skolemFOFtoCNF_X0)))),one))) )],[refute_0_7062,refute_0_7076]) ).
cnf(refute_0_7078,plain,
( one != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7079,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_7077,refute_0_7078]) ).
cnf(refute_0_7080,plain,
meet(converse(complement(skolemFOFtoCNF_X0)),one) = meet(one,converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7081,plain,
meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),
introduced(tautology,[refl,[$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))]]) ).
cnf(refute_0_7082,plain,
( complement(converse(complement(one))) != one
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = meet(converse(complement(skolemFOFtoCNF_X0)),one) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_7083,plain,
( complement(converse(complement(one))) != one
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = meet(converse(complement(skolemFOFtoCNF_X0)),one) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) )],[refute_0_7081,refute_0_7082]) ).
cnf(refute_0_7084,plain,
meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = meet(converse(complement(skolemFOFtoCNF_X0)),one),
inference(resolve,[$cnf( $equal(complement(converse(complement(one))),one) )],[refute_0_5519,refute_0_7083]) ).
cnf(refute_0_7085,plain,
( meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != meet(converse(complement(skolemFOFtoCNF_X0)),one)
| meet(converse(complement(skolemFOFtoCNF_X0)),one) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = meet(one,converse(complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),bind(Y,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),one))),bind(Z,$fot(meet(one,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7086,plain,
( meet(converse(complement(skolemFOFtoCNF_X0)),one) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = meet(one,converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),meet(converse(complement(skolemFOFtoCNF_X0)),one)) )],[refute_0_7084,refute_0_7085]) ).
cnf(refute_0_7087,plain,
meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) = meet(one,converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),one),meet(one,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_7080,refute_0_7086]) ).
cnf(refute_0_7088,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))]]) ).
cnf(refute_0_7089,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))
| meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) ),[1,1],$fot(meet(one,converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7090,plain,
( meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))) != meet(one,converse(complement(skolemFOFtoCNF_X0)))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) )],[refute_0_7088,refute_0_7089]) ).
cnf(refute_0_7091,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_7087,refute_0_7090]) ).
cnf(refute_0_7092,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) != one
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),bind(Y,$fot(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_7093,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))) != one
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = one ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))),join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_7091,refute_0_7092]) ).
cnf(refute_0_7094,plain,
join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) = one,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(one,converse(complement(skolemFOFtoCNF_X0)))),one) )],[refute_0_7079,refute_0_7093]) ).
cnf(refute_0_7095,plain,
converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) = converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),
introduced(tautology,[refl,[$fot(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))]]) ).
cnf(refute_0_7096,plain,
( converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) != converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))
| join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != one
| converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7097,plain,
( join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))) != one
| converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) = converse(one) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) )],[refute_0_7095,refute_0_7096]) ).
cnf(refute_0_7098,plain,
converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) = converse(one),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))),one) )],[refute_0_7094,refute_0_7097]) ).
cnf(refute_0_7099,plain,
( converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) != converse(one)
| converse(one) != one
| converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_7100,plain,
( converse(one) != one
| converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) = one ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),converse(one)) )],[refute_0_7098,refute_0_7099]) ).
cnf(refute_0_7101,plain,
converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_7100]) ).
cnf(refute_0_7102,plain,
complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) = complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))]]) ).
cnf(refute_0_7103,plain,
( complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) != complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))
| converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) != one
| complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7104,plain,
( converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))) != one
| complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) )],[refute_0_7102,refute_0_7103]) ).
cnf(refute_0_7105,plain,
complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) = complement(one),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))),one) )],[refute_0_7101,refute_0_7104]) ).
cnf(refute_0_7106,plain,
meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) = meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))]]) ).
cnf(refute_0_7107,plain,
( complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) != complement(one)
| meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) != meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))
| meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) = meet(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))),meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_7108,plain,
( complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))) != complement(one)
| meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) = meet(one,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))),meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) )],[refute_0_7106,refute_0_7107]) ).
cnf(refute_0_7109,plain,
meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) = meet(one,complement(one)),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))),complement(one)) )],[refute_0_7105,refute_0_7108]) ).
cnf(refute_0_7110,plain,
( meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) != meet(one,complement(one))
| meet(one,complement(one)) != zero
| meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))),bind(Y,$fot(meet(one,complement(one)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_7111,plain,
( meet(one,complement(one)) != zero
| meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))),meet(one,complement(one))) )],[refute_0_7109,refute_0_7110]) ).
cnf(refute_0_7112,plain,
meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(one)),zero) )],[refute_0_3641,refute_0_7111]) ).
cnf(refute_0_7113,plain,
converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),
introduced(tautology,[refl,[$fot(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))))]]) ).
cnf(refute_0_7114,plain,
( converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) != converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))
| meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) != zero
| converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7115,plain,
( meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))) != zero
| converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))))) )],[refute_0_7113,refute_0_7114]) ).
cnf(refute_0_7116,plain,
converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = converse(zero),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one)))))))),zero) )],[refute_0_7112,refute_0_7115]) ).
cnf(refute_0_7117,plain,
( converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) != converse(zero)
| converse(zero) != zero
| converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_7118,plain,
( converse(zero) != zero
| converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = zero ),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),converse(zero)) )],[refute_0_7116,refute_0_7117]) ).
cnf(refute_0_7119,plain,
converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_7118]) ).
cnf(refute_0_7120,plain,
join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) = join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181),
introduced(tautology,[refl,[$fot(join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181))]]) ).
cnf(refute_0_7121,plain,
( converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) != zero
| join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) != join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)
| join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) = join(zero,X_181) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181),join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7122,plain,
( converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))) != zero
| join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) = join(zero,X_181) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181),join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) )],[refute_0_7120,refute_0_7121]) ).
cnf(refute_0_7123,plain,
join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) = join(zero,X_181),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),zero) )],[refute_0_7119,refute_0_7122]) ).
cnf(refute_0_7124,plain,
( join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) != join(zero,X_181)
| join(zero,X_181) != X_181
| join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) = X_181 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181))),bind(Y,$fot(join(zero,X_181))),bind(Z,$fot(X_181))]]) ).
cnf(refute_0_7125,plain,
( join(zero,X_181) != X_181
| join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) = X_181 ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181),join(zero,X_181)) )],[refute_0_7123,refute_0_7124]) ).
cnf(refute_0_7126,plain,
join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) = X_181,
inference(resolve,[$cnf( $equal(join(zero,X_181),X_181) )],[refute_0_6954,refute_0_7125]) ).
cnf(refute_0_7127,plain,
join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),
introduced(tautology,[refl,[$fot(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)))]]) ).
cnf(refute_0_7128,plain,
( join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) != X_181
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) != join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181))
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(one,X_181) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181))) ),[1,1],$fot(X_181)]]) ).
cnf(refute_0_7129,plain,
( join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181) != X_181
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(one,X_181) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181))) )],[refute_0_7127,refute_0_7128]) ).
cnf(refute_0_7130,plain,
join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) = join(one,X_181),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181),X_181) )],[refute_0_7126,refute_0_7129]) ).
cnf(refute_0_7131,plain,
( join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) != join(X_181,one)
| join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) != join(one,X_181)
| join(one,X_181) = join(X_181,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(X_181,one)) ),[0],$fot(join(one,X_181))]]) ).
cnf(refute_0_7132,plain,
( join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)) != join(X_181,one)
| join(one,X_181) = join(X_181,one) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(one,X_181)) )],[refute_0_7130,refute_0_7131]) ).
cnf(refute_0_7133,plain,
join(one,X_181) = join(X_181,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(one,complement(converse(join(complement(converse(complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(complement(one))))))))),X_181)),join(X_181,one)) )],[refute_0_6953,refute_0_7132]) ).
cnf(refute_0_7134,plain,
( join(one,X_181) != join(X_181,one)
| join(X_181,one) = join(one,X_181) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_181))),bind(Y,$fot(join(X_181,one)))]]) ).
cnf(refute_0_7135,plain,
join(X_181,one) = join(one,X_181),
inference(resolve,[$cnf( $equal(join(one,X_181),join(X_181,one)) )],[refute_0_7133,refute_0_7134]) ).
cnf(refute_0_7136,plain,
join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_7135:[bind(X_181,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7137,plain,
join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),one),
inference(subst,[],[refute_0_915:[bind(X_298,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7138,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),one)
| join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),one))),bind(Z,$fot(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7139,plain,
( join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),one) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),one)) )],[refute_0_7137,refute_0_7138]) ).
cnf(refute_0_7140,plain,
join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),one),join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7136,refute_0_7139]) ).
cnf(refute_0_7141,plain,
join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_806:[bind(X_65,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_7,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7142,plain,
( join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7143,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7141,refute_0_7142]) ).
cnf(refute_0_7144,plain,
join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7140,refute_0_7143]) ).
cnf(refute_0_7145,plain,
converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_814:[bind(X0,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_63,$fot(one)),bind(X_64,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7146,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7147,plain,
( join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7145,refute_0_7146]) ).
cnf(refute_0_7148,plain,
converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,skolemFOFtoCNF_X0)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7144,refute_0_7147]) ).
cnf(refute_0_7149,plain,
converse(join(one,X_412)) = join(meet(skolemFOFtoCNF_X0,converse(join(one,X_412))),meet(complement(skolemFOFtoCNF_X0),converse(join(one,X_412)))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(join(one,X_412)))),bind(X_55,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7150,plain,
join(one,X_410) = join(X_410,one),
inference(subst,[],[refute_0_49:[bind(X0,$fot(one)),bind(X1,$fot(X_410))]]) ).
cnf(refute_0_7151,plain,
( join(one,X_410) != join(X_410,one)
| join(X_410,one) = join(one,X_410) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X_410))),bind(Y,$fot(join(X_410,one)))]]) ).
cnf(refute_0_7152,plain,
join(X_410,one) = join(one,X_410),
inference(resolve,[$cnf( $equal(join(one,X_410),join(X_410,one)) )],[refute_0_7150,refute_0_7151]) ).
cnf(refute_0_7153,plain,
( join(X_410,one) != join(one,X_410)
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(join(X_410,one)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(one,X_410))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(join(X_410,one)))) ),[1,1,0],$fot(join(one,X_410))]]) ).
cnf(refute_0_7154,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(join(X_410,one)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(one,X_410))) ),
inference(resolve,[$cnf( $equal(join(X_410,one),join(one,X_410)) )],[refute_0_7152,refute_0_7153]) ).
cnf(refute_0_7155,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(one,X_410))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(join(X_410,one)))) )],[refute_0_4739,refute_0_7154]) ).
cnf(refute_0_7156,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,converse(join(one,X_412))),
inference(subst,[],[refute_0_7155:[bind(X_410,$fot(X_412))]]) ).
cnf(refute_0_7157,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,converse(join(one,X_412)))
| meet(skolemFOFtoCNF_X0,converse(join(one,X_412))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,converse(join(one,X_412)))))]]) ).
cnf(refute_0_7158,plain,
meet(skolemFOFtoCNF_X0,converse(join(one,X_412))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(join(one,X_412)))) )],[refute_0_7156,refute_0_7157]) ).
cnf(refute_0_7159,plain,
( converse(join(one,X_412)) != join(meet(skolemFOFtoCNF_X0,converse(join(one,X_412))),meet(complement(skolemFOFtoCNF_X0),converse(join(one,X_412))))
| meet(skolemFOFtoCNF_X0,converse(join(one,X_412))) != skolemFOFtoCNF_X0
| converse(join(one,X_412)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,X_412)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,X_412)),join(meet(skolemFOFtoCNF_X0,converse(join(one,X_412))),meet(complement(skolemFOFtoCNF_X0),converse(join(one,X_412))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_7160,plain,
( converse(join(one,X_412)) != join(meet(skolemFOFtoCNF_X0,converse(join(one,X_412))),meet(complement(skolemFOFtoCNF_X0),converse(join(one,X_412))))
| converse(join(one,X_412)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,X_412)))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,converse(join(one,X_412))),skolemFOFtoCNF_X0) )],[refute_0_7158,refute_0_7159]) ).
cnf(refute_0_7161,plain,
converse(join(one,X_412)) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,X_412)))),
inference(resolve,[$cnf( $equal(converse(join(one,X_412)),join(meet(skolemFOFtoCNF_X0,converse(join(one,X_412))),meet(complement(skolemFOFtoCNF_X0),converse(join(one,X_412))))) )],[refute_0_7149,refute_0_7160]) ).
cnf(refute_0_7162,plain,
converse(join(one,join(X_102,X1))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X_102,X1))))),
inference(subst,[],[refute_0_7161:[bind(X_412,$fot(join(X_102,X1)))]]) ).
cnf(refute_0_7163,plain,
converse(join(X_102,join(one,X1))) = converse(join(one,join(X_102,X1))),
inference(subst,[],[refute_0_3106:[bind(X_101,$fot(one))]]) ).
cnf(refute_0_7164,plain,
( converse(join(X_102,join(one,X1))) != converse(join(one,join(X_102,X1)))
| converse(join(one,join(X_102,X1))) = converse(join(X_102,join(one,X1))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_102,join(one,X1))))),bind(Y,$fot(converse(join(one,join(X_102,X1)))))]]) ).
cnf(refute_0_7165,plain,
converse(join(one,join(X_102,X1))) = converse(join(X_102,join(one,X1))),
inference(resolve,[$cnf( $equal(converse(join(X_102,join(one,X1))),converse(join(one,join(X_102,X1)))) )],[refute_0_7163,refute_0_7164]) ).
cnf(refute_0_7166,plain,
( converse(join(one,join(X_102,X1))) != converse(join(X_102,join(one,X1)))
| converse(join(one,join(X_102,X1))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X_102,X1)))))
| converse(join(one,join(X_102,X1))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_102,X1))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X_102,X1)))))) ),[1,1,1],$fot(converse(join(X_102,join(one,X1))))]]) ).
cnf(refute_0_7167,plain,
( converse(join(one,join(X_102,X1))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X_102,X1)))))
| converse(join(one,join(X_102,X1))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_102,X1))),converse(join(X_102,join(one,X1)))) )],[refute_0_7165,refute_0_7166]) ).
cnf(refute_0_7168,plain,
converse(join(one,join(X_102,X1))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_102,X1))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X_102,X1)))))) )],[refute_0_7162,refute_0_7167]) ).
cnf(refute_0_7169,plain,
converse(join(one,join(X1,X_101))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X1,X_101))))),
inference(subst,[],[refute_0_7161:[bind(X_412,$fot(join(X1,X_101)))]]) ).
cnf(refute_0_7170,plain,
converse(join(one,join(X1,X_101))) = converse(join(X_101,join(one,X1))),
inference(subst,[],[refute_0_3357:[bind(X0,$fot(one))]]) ).
cnf(refute_0_7171,plain,
( converse(join(one,join(X1,X_101))) != converse(join(X_101,join(one,X1)))
| converse(join(one,join(X1,X_101))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X1,X_101)))))
| converse(join(one,join(X1,X_101))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_101,join(one,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X1,X_101))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X1,X_101)))))) ),[1,1,1],$fot(converse(join(X_101,join(one,X1))))]]) ).
cnf(refute_0_7172,plain,
( converse(join(one,join(X1,X_101))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X1,X_101)))))
| converse(join(one,join(X1,X_101))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_101,join(one,X1))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X_101))),converse(join(X_101,join(one,X1)))) )],[refute_0_7170,refute_0_7171]) ).
cnf(refute_0_7173,plain,
converse(join(one,join(X1,X_101))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_101,join(one,X1))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X_101))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,join(X1,X_101)))))) )],[refute_0_7169,refute_0_7172]) ).
cnf(refute_0_7174,plain,
( converse(join(one,join(X1,X_101))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_101,join(one,X1)))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_101,join(one,X1))))) = converse(join(one,join(X1,X_101))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,join(X1,X_101))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_101,join(one,X1)))))))]]) ).
cnf(refute_0_7175,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_101,join(one,X1))))) = converse(join(one,join(X1,X_101))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X1,X_101))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_101,join(one,X1)))))) )],[refute_0_7173,refute_0_7174]) ).
cnf(refute_0_7176,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1))))) = converse(join(one,join(X1,X_102))),
inference(subst,[],[refute_0_7175:[bind(X_101,$fot(X_102))]]) ).
cnf(refute_0_7177,plain,
( converse(join(one,join(X_102,X1))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1)))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1))))) != converse(join(one,join(X1,X_102)))
| converse(join(one,join(X_102,X1))) = converse(join(one,join(X1,X_102))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(X_102,X1))),converse(join(one,join(X1,X_102)))) ),[0],$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1))))))]]) ).
cnf(refute_0_7178,plain,
( converse(join(one,join(X_102,X1))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1)))))
| converse(join(one,join(X_102,X1))) = converse(join(one,join(X1,X_102))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1))))),converse(join(one,join(X1,X_102)))) )],[refute_0_7176,refute_0_7177]) ).
cnf(refute_0_7179,plain,
converse(join(one,join(X_102,X1))) = converse(join(one,join(X1,X_102))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_102,X1))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(X_102,join(one,X1)))))) )],[refute_0_7168,refute_0_7178]) ).
cnf(refute_0_7180,plain,
( converse(join(one,join(X_102,X1))) != converse(join(one,join(X1,X_102)))
| converse(join(one,join(X1,X_102))) = converse(join(one,join(X_102,X1))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,join(X_102,X1))))),bind(Y,$fot(converse(join(one,join(X1,X_102)))))]]) ).
cnf(refute_0_7181,plain,
converse(join(one,join(X1,X_102))) = converse(join(one,join(X_102,X1))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_102,X1))),converse(join(one,join(X1,X_102)))) )],[refute_0_7179,refute_0_7180]) ).
cnf(refute_0_7182,plain,
converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) = converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_7181:[bind(X1,$fot(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_102,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7183,plain,
( converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7184,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7182,refute_0_7183]) ).
cnf(refute_0_7185,plain,
converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7148,refute_0_7184]) ).
cnf(refute_0_7186,plain,
converse(join(join(one,X_519),X_6)) = converse(join(X_6,join(one,X_519))),
inference(subst,[],[refute_0_2660:[bind(X_7,$fot(join(one,X_519)))]]) ).
cnf(refute_0_7187,plain,
join(X_313,one) = join(one,X_313),
inference(subst,[],[refute_0_49:[bind(X0,$fot(X_313)),bind(X1,$fot(one))]]) ).
cnf(refute_0_7188,plain,
( join(X_313,one) != join(one,X_313)
| join(one,X_313) = join(X_313,one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_313,one))),bind(Y,$fot(join(one,X_313)))]]) ).
cnf(refute_0_7189,plain,
join(one,X_313) = join(X_313,one),
inference(resolve,[$cnf( $equal(join(X_313,one),join(one,X_313)) )],[refute_0_7187,refute_0_7188]) ).
cnf(refute_0_7190,plain,
( join(X_312,join(one,X_313)) != join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))
| join(one,X_313) != join(X_313,one)
| join(X_312,join(X_313,one)) = join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_312,join(one,X_313)),join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))) ),[0,1],$fot(join(X_313,one))]]) ).
cnf(refute_0_7191,plain,
( join(X_312,join(one,X_313)) != join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))
| join(X_312,join(X_313,one)) = join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313))) ),
inference(resolve,[$cnf( $equal(join(one,X_313),join(X_313,one)) )],[refute_0_7189,refute_0_7190]) ).
cnf(refute_0_7192,plain,
join(X_312,join(X_313,one)) = join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313))),
inference(resolve,[$cnf( $equal(join(X_312,join(one,X_313)),join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))) )],[refute_0_2601,refute_0_7191]) ).
cnf(refute_0_7193,plain,
( join(X0,join(one,X_90)) != join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))
| join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))) = join(X0,join(one,X_90)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(one,X_90)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))))]]) ).
cnf(refute_0_7194,plain,
join(skolemFOFtoCNF_X0,join(X0,join(one,X_90))) = join(X0,join(one,X_90)),
inference(resolve,[$cnf( $equal(join(X0,join(one,X_90)),join(skolemFOFtoCNF_X0,join(X0,join(one,X_90)))) )],[refute_0_2600,refute_0_7193]) ).
cnf(refute_0_7195,plain,
join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313))) = join(X_312,join(one,X_313)),
inference(subst,[],[refute_0_7194:[bind(X0,$fot(X_312)),bind(X_90,$fot(X_313))]]) ).
cnf(refute_0_7196,plain,
( join(X_312,join(X_313,one)) != join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))
| join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313))) != join(X_312,join(one,X_313))
| join(X_312,join(X_313,one)) = join(X_312,join(one,X_313)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_312,join(X_313,one)),join(X_312,join(one,X_313))) ),[0],$fot(join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313))))]]) ).
cnf(refute_0_7197,plain,
( join(X_312,join(X_313,one)) != join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))
| join(X_312,join(X_313,one)) = join(X_312,join(one,X_313)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313))),join(X_312,join(one,X_313))) )],[refute_0_7195,refute_0_7196]) ).
cnf(refute_0_7198,plain,
join(X_312,join(X_313,one)) = join(X_312,join(one,X_313)),
inference(resolve,[$cnf( $equal(join(X_312,join(X_313,one)),join(skolemFOFtoCNF_X0,join(X_312,join(one,X_313)))) )],[refute_0_7192,refute_0_7197]) ).
cnf(refute_0_7199,plain,
join(X_6,join(X_519,one)) = join(X_6,join(one,X_519)),
inference(subst,[],[refute_0_7198:[bind(X_312,$fot(X_6)),bind(X_313,$fot(X_519))]]) ).
cnf(refute_0_7200,plain,
( join(X_6,join(X_519,one)) != join(X_6,join(one,X_519))
| join(X_6,join(one,X_519)) = join(X_6,join(X_519,one)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_6,join(X_519,one)))),bind(Y,$fot(join(X_6,join(one,X_519))))]]) ).
cnf(refute_0_7201,plain,
join(X_6,join(one,X_519)) = join(X_6,join(X_519,one)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_519,one)),join(X_6,join(one,X_519))) )],[refute_0_7199,refute_0_7200]) ).
cnf(refute_0_7202,plain,
( converse(join(join(one,X_519),X_6)) != converse(join(X_6,join(one,X_519)))
| join(X_6,join(one,X_519)) != join(X_6,join(X_519,one))
| converse(join(join(one,X_519),X_6)) = converse(join(X_6,join(X_519,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,X_519),X_6)),converse(join(X_6,join(one,X_519)))) ),[1,0],$fot(join(X_6,join(X_519,one)))]]) ).
cnf(refute_0_7203,plain,
( converse(join(join(one,X_519),X_6)) != converse(join(X_6,join(one,X_519)))
| converse(join(join(one,X_519),X_6)) = converse(join(X_6,join(X_519,one))) ),
inference(resolve,[$cnf( $equal(join(X_6,join(one,X_519)),join(X_6,join(X_519,one))) )],[refute_0_7201,refute_0_7202]) ).
cnf(refute_0_7204,plain,
converse(join(join(one,X_519),X_6)) = converse(join(X_6,join(X_519,one))),
inference(resolve,[$cnf( $equal(converse(join(join(one,X_519),X_6)),converse(join(X_6,join(one,X_519)))) )],[refute_0_7186,refute_0_7203]) ).
cnf(refute_0_7205,plain,
join(join(one,X_519),X_6) = join(one,join(X_519,X_6)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(X_519)),bind(X2,$fot(X_6))]]) ).
cnf(refute_0_7206,plain,
converse(join(join(one,X_519),X_6)) = converse(join(join(one,X_519),X_6)),
introduced(tautology,[refl,[$fot(converse(join(join(one,X_519),X_6)))]]) ).
cnf(refute_0_7207,plain,
( converse(join(join(one,X_519),X_6)) != converse(join(join(one,X_519),X_6))
| join(join(one,X_519),X_6) != join(one,join(X_519,X_6))
| converse(join(join(one,X_519),X_6)) = converse(join(one,join(X_519,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,X_519),X_6)),converse(join(join(one,X_519),X_6))) ),[1,0],$fot(join(one,join(X_519,X_6)))]]) ).
cnf(refute_0_7208,plain,
( join(join(one,X_519),X_6) != join(one,join(X_519,X_6))
| converse(join(join(one,X_519),X_6)) = converse(join(one,join(X_519,X_6))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,X_519),X_6)),converse(join(join(one,X_519),X_6))) )],[refute_0_7206,refute_0_7207]) ).
cnf(refute_0_7209,plain,
converse(join(join(one,X_519),X_6)) = converse(join(one,join(X_519,X_6))),
inference(resolve,[$cnf( $equal(join(join(one,X_519),X_6),join(one,join(X_519,X_6))) )],[refute_0_7205,refute_0_7208]) ).
cnf(refute_0_7210,plain,
( converse(join(join(one,X_519),X_6)) != converse(join(X_6,join(X_519,one)))
| converse(join(join(one,X_519),X_6)) != converse(join(one,join(X_519,X_6)))
| converse(join(one,join(X_519,X_6))) = converse(join(X_6,join(X_519,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,X_519),X_6)),converse(join(X_6,join(X_519,one)))) ),[0],$fot(converse(join(one,join(X_519,X_6))))]]) ).
cnf(refute_0_7211,plain,
( converse(join(join(one,X_519),X_6)) != converse(join(X_6,join(X_519,one)))
| converse(join(one,join(X_519,X_6))) = converse(join(X_6,join(X_519,one))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,X_519),X_6)),converse(join(one,join(X_519,X_6)))) )],[refute_0_7209,refute_0_7210]) ).
cnf(refute_0_7212,plain,
converse(join(one,join(X_519,X_6))) = converse(join(X_6,join(X_519,one))),
inference(resolve,[$cnf( $equal(converse(join(join(one,X_519),X_6)),converse(join(X_6,join(X_519,one)))) )],[refute_0_7204,refute_0_7211]) ).
cnf(refute_0_7213,plain,
( converse(join(one,join(X_519,X_6))) != converse(join(X_6,join(X_519,one)))
| converse(join(X_6,join(X_519,one))) = converse(join(one,join(X_519,X_6))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(one,join(X_519,X_6))))),bind(Y,$fot(converse(join(X_6,join(X_519,one)))))]]) ).
cnf(refute_0_7214,plain,
converse(join(X_6,join(X_519,one))) = converse(join(one,join(X_519,X_6))),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_519,X_6))),converse(join(X_6,join(X_519,one)))) )],[refute_0_7212,refute_0_7213]) ).
cnf(refute_0_7215,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_7214:[bind(X_519,$fot(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_6,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7216,plain,
( converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))))),bind(Y,$fot(converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7217,plain,
( converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0)))) )],[refute_0_7215,refute_0_7216]) ).
cnf(refute_0_7218,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) = join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0))),join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7185,refute_0_7217]) ).
cnf(refute_0_7219,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))) ),[0],$fot(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7220,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7218,refute_0_7219]) ).
cnf(refute_0_7221,plain,
join(one,join(skolemFOFtoCNF_X0,complement(one))) = join(one,complement(one)),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(complement(one)))]]) ).
cnf(refute_0_7222,plain,
( join(one,complement(one)) != top
| join(one,join(skolemFOFtoCNF_X0,complement(one))) != join(one,complement(one))
| join(one,join(skolemFOFtoCNF_X0,complement(one))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(skolemFOFtoCNF_X0,complement(one))))),bind(Y,$fot(join(one,complement(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_7223,plain,
( join(one,complement(one)) != top
| join(one,join(skolemFOFtoCNF_X0,complement(one))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(one))),join(one,complement(one))) )],[refute_0_7221,refute_0_7222]) ).
cnf(refute_0_7224,plain,
join(one,join(skolemFOFtoCNF_X0,complement(one))) = top,
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_748,refute_0_7223]) ).
cnf(refute_0_7225,plain,
converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))),
introduced(tautology,[refl,[$fot(converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_7226,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(one,join(skolemFOFtoCNF_X0,complement(one))) != top
| converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))),converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_7227,plain,
( join(one,join(skolemFOFtoCNF_X0,complement(one))) != top
| converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))),converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_7225,refute_0_7226]) ).
cnf(refute_0_7228,plain,
converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) = converse(top),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,complement(one))),top) )],[refute_0_7224,refute_0_7227]) ).
cnf(refute_0_7229,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) != converse(top)
| converse(top) != top
| converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_7230,plain,
( converse(top) != top
| converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))),converse(top)) )],[refute_0_7228,refute_0_7229]) ).
cnf(refute_0_7231,plain,
converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_7230]) ).
cnf(refute_0_7232,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))) != top
| join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))) ),[1],$fot(top)]]) ).
cnf(refute_0_7233,plain,
( join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,complement(one)))),top) )],[refute_0_7231,refute_0_7232]) ).
cnf(refute_0_7234,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))
| join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = top ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_7220,refute_0_7233]) ).
cnf(refute_0_7235,plain,
join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_6852,refute_0_7234]) ).
cnf(refute_0_7236,plain,
( complement(one) != join(complement(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != top
| complement(one) = join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_7237,plain,
( complement(one) != join(complement(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| complement(one) = join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_7235,refute_0_7236]) ).
cnf(refute_0_7238,plain,
complement(one) = join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6198,refute_0_7237]) ).
cnf(refute_0_7239,plain,
join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7240,plain,
join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7241,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7242,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7240,refute_0_7241]) ).
cnf(refute_0_7243,plain,
join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_7242]) ).
cnf(refute_0_7244,plain,
( join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7245,plain,
( join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7243,refute_0_7244]) ).
cnf(refute_0_7246,plain,
join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7239,refute_0_7245]) ).
cnf(refute_0_7247,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(one) = meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7248,plain,
( complement(one) != join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| complement(one) = meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7246,refute_0_7247]) ).
cnf(refute_0_7249,plain,
complement(one) = meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7238,refute_0_7248]) ).
cnf(refute_0_7250,plain,
( complement(one) != meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7251,plain,
meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7249,refute_0_7250]) ).
cnf(refute_0_7252,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(one)
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7253,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)) )],[refute_0_7251,refute_0_7252]) ).
cnf(refute_0_7254,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(meet(complement(one),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6197,refute_0_7253]) ).
cnf(refute_0_7255,plain,
meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7256,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7257,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7255,refute_0_7256]) ).
cnf(refute_0_7258,plain,
meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_7257]) ).
cnf(refute_0_7259,plain,
join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7260,plain,
( join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7261,plain,
( meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7259,refute_0_7260]) ).
cnf(refute_0_7262,plain,
join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7258,refute_0_7261]) ).
cnf(refute_0_7263,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7264,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7262,refute_0_7263]) ).
cnf(refute_0_7265,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(complement(complement(one)),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7254,refute_0_7264]) ).
cnf(refute_0_7266,plain,
complement(complement(converse(skolemFOFtoCNF_X0))) = join(complement(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_32,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7267,plain,
top = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_1053:[bind(X_63,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_64,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7268,plain,
complement(complement(one)) = join(complement(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(one))),bind(X_32,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7269,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7270,plain,
join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7265,refute_0_7269]) ).
cnf(refute_0_7271,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))
| complement(complement(one)) = join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7272,plain,
( complement(complement(one)) != join(complement(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(complement(one)) = join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7270,refute_0_7271]) ).
cnf(refute_0_7273,plain,
complement(complement(one)) = join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7268,refute_0_7272]) ).
cnf(refute_0_7274,plain,
( complement(complement(one)) != join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(complement(one)) != one
| one = join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(one)),join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(one)]]) ).
cnf(refute_0_7275,plain,
( complement(complement(one)) != join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_7274]) ).
cnf(refute_0_7276,plain,
meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_6775:[bind(X_279,$fot(one)),bind(X_65,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7277,plain,
meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7278,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7279,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7277,refute_0_7278]) ).
cnf(refute_0_7280,plain,
meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_7279]) ).
cnf(refute_0_7281,plain,
( meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7282,plain,
( meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7280,refute_0_7281]) ).
cnf(refute_0_7283,plain,
meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7276,refute_0_7282]) ).
cnf(refute_0_7284,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7285,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7286,plain,
( meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7284,refute_0_7285]) ).
cnf(refute_0_7287,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7283,refute_0_7286]) ).
cnf(refute_0_7288,plain,
join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7289,plain,
( complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7290,plain,
( complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7288,refute_0_7289]) ).
cnf(refute_0_7291,plain,
join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_6255,refute_0_7290]) ).
cnf(refute_0_7292,plain,
( join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7293,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7291,refute_0_7292]) ).
cnf(refute_0_7294,plain,
join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7287,refute_0_7293]) ).
cnf(refute_0_7295,plain,
( join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| one != join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7296,plain,
( one != join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7294,refute_0_7295]) ).
cnf(refute_0_7297,plain,
( complement(complement(one)) != join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| one = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(one,join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7275,refute_0_7296]) ).
cnf(refute_0_7298,plain,
one = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),join(complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(complement(one)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7273,refute_0_7297]) ).
cnf(refute_0_7299,plain,
( one != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7300,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = one,
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7298,refute_0_7299]) ).
cnf(refute_0_7301,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != one
| top != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| top = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,1,1,0],$fot(one)]]) ).
cnf(refute_0_7302,plain,
( top != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))
| top = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),one) )],[refute_0_7300,refute_0_7301]) ).
cnf(refute_0_7303,plain,
top = join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_7267,refute_0_7302]) ).
cnf(refute_0_7304,plain,
join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(complement(one))),bind(X1,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7305,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7306,plain,
join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3247,refute_0_7305]) ).
cnf(refute_0_7307,plain,
( join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(complement(converse(skolemFOFtoCNF_X0)),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)),join(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7308,plain,
( join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) != join(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(complement(converse(skolemFOFtoCNF_X0)),X2) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_7306,refute_0_7307]) ).
cnf(refute_0_7309,plain,
join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)) = join(complement(converse(skolemFOFtoCNF_X0)),X2),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),X2)),join(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_7304,refute_0_7308]) ).
cnf(refute_0_7310,plain,
join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_7309:[bind(X2,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7311,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_5787:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X1,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_540,$fot(complement(one)))]]) ).
cnf(refute_0_7312,plain,
( join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))))),bind(Y,$fot(join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7313,plain,
( join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7311,refute_0_7312]) ).
cnf(refute_0_7314,plain,
join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) = join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7310,refute_0_7313]) ).
cnf(refute_0_7315,plain,
( join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))) != join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| top != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))
| top = join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))) ),[1],$fot(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7316,plain,
( top != join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))
| top = join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one))),join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7314,refute_0_7315]) ).
cnf(refute_0_7317,plain,
top = join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(top,join(meet(one,complement(converse(skolemFOFtoCNF_X0))),join(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),complement(one)))) )],[refute_0_7303,refute_0_7316]) ).
cnf(refute_0_7318,plain,
( top != join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7319,plain,
join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7317,refute_0_7318]) ).
cnf(refute_0_7320,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != join(complement(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != top
| complement(complement(converse(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),join(complement(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_7321,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != join(complement(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| complement(complement(converse(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),top) )],[refute_0_7319,refute_0_7320]) ).
cnf(refute_0_7322,plain,
complement(complement(converse(skolemFOFtoCNF_X0))) = join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),join(complement(join(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7266,refute_0_7321]) ).
cnf(refute_0_7323,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| complement(complement(converse(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7324,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(skolemFOFtoCNF_X0) = join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_4090,refute_0_7323]) ).
cnf(refute_0_7325,plain,
join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7326,plain,
complement(join(complement(X_149),meet(X_149,X_150))) = meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150)))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(complement(X_150))),bind(X_213,$fot(join(complement(X_149),meet(X_149,X_150))))]]) ).
cnf(refute_0_7327,plain,
( complement(join(complement(X_149),meet(X_149,X_150))) != meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150))))))
| join(complement(X_150),join(complement(X_149),meet(X_149,X_150))) != top
| complement(join(complement(X_149),meet(X_149,X_150))) = meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_149),meet(X_149,X_150))),meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_7328,plain,
( complement(join(complement(X_149),meet(X_149,X_150))) != meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150))))))
| complement(join(complement(X_149),meet(X_149,X_150))) = meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_150),join(complement(X_149),meet(X_149,X_150))),top) )],[refute_0_4242,refute_0_7327]) ).
cnf(refute_0_7329,plain,
complement(join(complement(X_149),meet(X_149,X_150))) = meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_149),meet(X_149,X_150))),meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(join(complement(X_150),join(complement(X_149),meet(X_149,X_150))))))) )],[refute_0_7326,refute_0_7328]) ).
cnf(refute_0_7330,plain,
complement(join(complement(X_149),meet(X_149,X_150))) = meet(X_149,complement(meet(X_149,X_150))),
inference(subst,[],[refute_0_4505:[bind(X0,$fot(X_149)),bind(X_27,$fot(meet(X_149,X_150)))]]) ).
cnf(refute_0_7331,plain,
( complement(join(complement(X_149),meet(X_149,X_150))) != meet(X_149,complement(meet(X_149,X_150)))
| complement(join(complement(X_149),meet(X_149,X_150))) != meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top)))
| meet(X_149,complement(meet(X_149,X_150))) = meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_149),meet(X_149,X_150))),meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top)))) ),[0],$fot(meet(X_149,complement(meet(X_149,X_150))))]]) ).
cnf(refute_0_7332,plain,
( complement(join(complement(X_149),meet(X_149,X_150))) != meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top)))
| meet(X_149,complement(meet(X_149,X_150))) = meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_149),meet(X_149,X_150))),meet(X_149,complement(meet(X_149,X_150)))) )],[refute_0_7330,refute_0_7331]) ).
cnf(refute_0_7333,plain,
meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))),
introduced(tautology,[refl,[$fot(meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_7334,plain,
( complement(join(complement(X_149),meet(X_149,X_150))) != meet(X_149,complement(meet(X_149,X_150)))
| meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) != meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150))))
| meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))),meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150))))) ),[1,1],$fot(meet(X_149,complement(meet(X_149,X_150))))]]) ).
cnf(refute_0_7335,plain,
( complement(join(complement(X_149),meet(X_149,X_150))) != meet(X_149,complement(meet(X_149,X_150)))
| meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))),meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_7333,refute_0_7334]) ).
cnf(refute_0_7336,plain,
meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_149),meet(X_149,X_150))),meet(X_149,complement(meet(X_149,X_150)))) )],[refute_0_7330,refute_0_7335]) ).
cnf(refute_0_7337,plain,
meet(X_150,top) = X_150,
inference(subst,[],[refute_0_521:[bind(X0,$fot(X_150))]]) ).
cnf(refute_0_7338,plain,
complement(meet(X_150,top)) = complement(meet(X_150,top)),
introduced(tautology,[refl,[$fot(complement(meet(X_150,top)))]]) ).
cnf(refute_0_7339,plain,
( complement(meet(X_150,top)) != complement(meet(X_150,top))
| meet(X_150,top) != X_150
| complement(meet(X_150,top)) = complement(X_150) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_150,top)),complement(meet(X_150,top))) ),[1,0],$fot(X_150)]]) ).
cnf(refute_0_7340,plain,
( meet(X_150,top) != X_150
| complement(meet(X_150,top)) = complement(X_150) ),
inference(resolve,[$cnf( $equal(complement(meet(X_150,top)),complement(meet(X_150,top))) )],[refute_0_7338,refute_0_7339]) ).
cnf(refute_0_7341,plain,
complement(meet(X_150,top)) = complement(X_150),
inference(resolve,[$cnf( $equal(meet(X_150,top),X_150) )],[refute_0_7337,refute_0_7340]) ).
cnf(refute_0_7342,plain,
join(complement(X_150),complement(top)) = complement(meet(X_150,top)),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(X_150)),bind(X1,$fot(top))]]) ).
cnf(refute_0_7343,plain,
( complement(meet(X_150,top)) != complement(X_150)
| join(complement(X_150),complement(top)) != complement(meet(X_150,top))
| join(complement(X_150),complement(top)) = complement(X_150) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X_150),complement(top)))),bind(Y,$fot(complement(meet(X_150,top)))),bind(Z,$fot(complement(X_150)))]]) ).
cnf(refute_0_7344,plain,
( complement(meet(X_150,top)) != complement(X_150)
| join(complement(X_150),complement(top)) = complement(X_150) ),
inference(resolve,[$cnf( $equal(join(complement(X_150),complement(top)),complement(meet(X_150,top))) )],[refute_0_7342,refute_0_7343]) ).
cnf(refute_0_7345,plain,
join(complement(X_150),complement(top)) = complement(X_150),
inference(resolve,[$cnf( $equal(complement(meet(X_150,top)),complement(X_150)) )],[refute_0_7341,refute_0_7344]) ).
cnf(refute_0_7346,plain,
meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))),
introduced(tautology,[refl,[$fot(meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_7347,plain,
( join(complement(X_150),complement(top)) != complement(X_150)
| meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) != meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150))))
| meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))),meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150))))) ),[1,0],$fot(complement(X_150))]]) ).
cnf(refute_0_7348,plain,
( join(complement(X_150),complement(top)) != complement(X_150)
| meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))),meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_7346,refute_0_7347]) ).
cnf(refute_0_7349,plain,
meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(join(complement(X_150),complement(top)),complement(X_150)) )],[refute_0_7345,refute_0_7348]) ).
cnf(refute_0_7350,plain,
( meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) != meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))
| meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) != meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150))))
| meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))))),bind(Y,$fot(meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))))),bind(Z,$fot(meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))))]]) ).
cnf(refute_0_7351,plain,
( meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))) != meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))
| meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))),meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_7349,refute_0_7350]) ).
cnf(refute_0_7352,plain,
meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(meet(complement(X_150),complement(join(complement(X_149),meet(X_149,X_150)))),meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))) )],[refute_0_7336,refute_0_7351]) ).
cnf(refute_0_7353,plain,
meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) = meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(complement(X_150),complement(top)))),bind(X_25,$fot(complement(join(complement(X_149),meet(X_149,X_150)))))]]) ).
cnf(refute_0_7354,plain,
( meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) != meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150))))
| meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) != meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))
| meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))))),bind(Y,$fot(meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))))),bind(Z,$fot(meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))))]]) ).
cnf(refute_0_7355,plain,
( meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))) != meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))
| meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))),meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150))))) )],[refute_0_7353,refute_0_7354]) ).
cnf(refute_0_7356,plain,
meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_150),complement(top)),complement(join(complement(X_149),meet(X_149,X_150)))),meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))) )],[refute_0_7352,refute_0_7355]) ).
cnf(refute_0_7357,plain,
( meet(X_149,complement(meet(X_149,X_150))) != meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top)))
| meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))) != meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))
| meet(X_149,complement(meet(X_149,X_150))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_149,complement(meet(X_149,X_150))),meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))) ),[0],$fot(meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))))]]) ).
cnf(refute_0_7358,plain,
( meet(X_149,complement(meet(X_149,X_150))) != meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top)))
| meet(X_149,complement(meet(X_149,X_150))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top))),meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))) )],[refute_0_7356,refute_0_7357]) ).
cnf(refute_0_7359,plain,
( complement(join(complement(X_149),meet(X_149,X_150))) != meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top)))
| meet(X_149,complement(meet(X_149,X_150))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) ),
inference(resolve,[$cnf( $equal(meet(X_149,complement(meet(X_149,X_150))),meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top)))) )],[refute_0_7332,refute_0_7358]) ).
cnf(refute_0_7360,plain,
meet(X_149,complement(meet(X_149,X_150))) = meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_149),meet(X_149,X_150))),meet(complement(join(complement(X_149),meet(X_149,X_150))),join(complement(X_150),complement(top)))) )],[refute_0_7329,refute_0_7359]) ).
cnf(refute_0_7361,plain,
( meet(X_149,complement(meet(X_149,X_150))) != meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))
| meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) = meet(X_149,complement(meet(X_149,X_150))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_149,complement(meet(X_149,X_150))))),bind(Y,$fot(meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))))]]) ).
cnf(refute_0_7362,plain,
meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150)))) = meet(X_149,complement(meet(X_149,X_150))),
inference(resolve,[$cnf( $equal(meet(X_149,complement(meet(X_149,X_150))),meet(complement(X_150),meet(X_149,complement(meet(X_149,X_150))))) )],[refute_0_7360,refute_0_7361]) ).
cnf(refute_0_7363,plain,
meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_7362:[bind(X_149,$fot(one)),bind(X_150,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7364,plain,
join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7365,plain,
( join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7366,plain,
( meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7364,refute_0_7365]) ).
cnf(refute_0_7367,plain,
join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7363,refute_0_7366]) ).
cnf(refute_0_7368,plain,
join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7369,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7370,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7368,refute_0_7369]) ).
cnf(refute_0_7371,plain,
join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_7370]) ).
cnf(refute_0_7372,plain,
( join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7373,plain,
( join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7371,refute_0_7372]) ).
cnf(refute_0_7374,plain,
join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7367,refute_0_7373]) ).
cnf(refute_0_7375,plain,
( join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7376,plain,
( join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7374,refute_0_7375]) ).
cnf(refute_0_7377,plain,
join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7325,refute_0_7376]) ).
cnf(refute_0_7378,plain,
( converse(skolemFOFtoCNF_X0) != join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| converse(skolemFOFtoCNF_X0) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7379,plain,
( converse(skolemFOFtoCNF_X0) != join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(skolemFOFtoCNF_X0) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7377,refute_0_7378]) ).
cnf(refute_0_7380,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))
| converse(skolemFOFtoCNF_X0) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7324,refute_0_7379]) ).
cnf(refute_0_7381,plain,
converse(skolemFOFtoCNF_X0) = meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),join(complement(top),meet(complement(complement(converse(skolemFOFtoCNF_X0))),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7322,refute_0_7380]) ).
cnf(refute_0_7382,plain,
( converse(skolemFOFtoCNF_X0) != meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7383,plain,
meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7381,refute_0_7382]) ).
cnf(refute_0_7384,plain,
join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7385,plain,
( join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(skolemFOFtoCNF_X0)
| join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7386,plain,
( meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))) != converse(skolemFOFtoCNF_X0)
| join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7384,refute_0_7385]) ).
cnf(refute_0_7387,plain,
join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),converse(skolemFOFtoCNF_X0)) )],[refute_0_7383,refute_0_7386]) ).
cnf(refute_0_7388,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_7389,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_7387,refute_0_7388]) ).
cnf(refute_0_7390,plain,
join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6708,refute_0_7389]) ).
cnf(refute_0_7391,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) ),[0],$fot(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7392,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_7390,refute_0_7391]) ).
cnf(refute_0_7393,plain,
complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7265,refute_0_7392]) ).
cnf(refute_0_7394,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,1,0,0,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_7395,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_7393,refute_0_7394]) ).
cnf(refute_0_7396,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_6196,refute_0_7395]) ).
cnf(refute_0_7397,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_25,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7398,plain,
complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_7399,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_7400,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( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_7398,refute_0_7399]) ).
cnf(refute_0_7401,plain,
complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_6845,refute_0_7400]) ).
cnf(refute_0_7402,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$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_7403,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( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_7401,refute_0_7402]) ).
cnf(refute_0_7404,plain,
complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4173,refute_0_7403]) ).
cnf(refute_0_7405,plain,
converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))))]]) ).
cnf(refute_0_7406,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))
| converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) ),[1,0],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7407,plain,
( complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(skolemFOFtoCNF_X0))
| converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) )],[refute_0_7405,refute_0_7406]) ).
cnf(refute_0_7408,plain,
converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_7404,refute_0_7407]) ).
cnf(refute_0_7409,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))),
introduced(tautology,[refl,[$fot(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))))]]) ).
cnf(refute_0_7410,plain,
( converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7411,plain,
( converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_7409,refute_0_7410]) ).
cnf(refute_0_7412,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7408,refute_0_7411]) ).
cnf(refute_0_7413,plain,
( meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))))),bind(Y,$fot(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7414,plain,
( meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_7412,refute_0_7413]) ).
cnf(refute_0_7415,plain,
meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7397,refute_0_7414]) ).
cnf(refute_0_7416,plain,
( meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) ),[1],$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7417,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one))))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7415,refute_0_7416]) ).
cnf(refute_0_7418,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(complement(converse(converse(join(skolemFOFtoCNF_X0,complement(one)))))))) )],[refute_0_7396,refute_0_7417]) ).
cnf(refute_0_7419,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7420,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7418,refute_0_7419]) ).
cnf(refute_0_7421,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_301:[bind(X0,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7422,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_7423,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_7393,refute_0_7422]) ).
cnf(refute_0_7424,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7421,refute_0_7423]) ).
cnf(refute_0_7425,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_7426,plain,
complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_7424,refute_0_7425]) ).
cnf(refute_0_7427,plain,
join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) = converse(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1844:[bind(X0,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7428,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7429,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7430,plain,
( join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7428,refute_0_7429]) ).
cnf(refute_0_7431,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_7427,refute_0_7430]) ).
cnf(refute_0_7432,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(complement(one),converse(skolemFOFtoCNF_X0))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),converse(skolemFOFtoCNF_X0)))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_7433,plain,
( join(complement(one),converse(skolemFOFtoCNF_X0)) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_7431,refute_0_7432]) ).
cnf(refute_0_7434,plain,
join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(skolemFOFtoCNF_X0)),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_6708,refute_0_7433]) ).
cnf(refute_0_7435,plain,
join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) = join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_6736:[bind(X0,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7436,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) != join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Y,$fot(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(join(skolemFOFtoCNF_X0,complement(one)))))]]) ).
cnf(refute_0_7437,plain,
( join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))),join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7435,refute_0_7436]) ).
cnf(refute_0_7438,plain,
join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) = converse(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(join(complement(one),join(converse(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_7434,refute_0_7437]) ).
cnf(refute_0_7439,plain,
complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),
introduced(tautology,[refl,[$fot(complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))))]]) ).
cnf(refute_0_7440,plain,
( complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) ),[1,0],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_7441,plain,
( join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_7439,refute_0_7440]) ).
cnf(refute_0_7442,plain,
complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_7438,refute_0_7441]) ).
cnf(refute_0_7443,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != complement(converse(join(skolemFOFtoCNF_X0,complement(one))))
| complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Y,$fot(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))))),bind(Z,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7444,plain,
( complement(converse(join(skolemFOFtoCNF_X0,complement(one)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),complement(converse(join(skolemFOFtoCNF_X0,complement(one))))) )],[refute_0_7442,refute_0_7443]) ).
cnf(refute_0_7445,plain,
complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(converse(join(skolemFOFtoCNF_X0,complement(one)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7426,refute_0_7444]) ).
cnf(refute_0_7446,plain,
meet(complement(X_601),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(join(X_601,complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1181:[bind(X1,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))),bind(X_27,$fot(X_601))]]) ).
cnf(refute_0_7447,plain,
( complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(join(skolemFOFtoCNF_X0,complement(one)))
| meet(complement(X_601),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(join(X_601,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(X_601),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(join(X_601,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_601),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(join(X_601,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0,1],$fot(converse(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_7448,plain,
( meet(complement(X_601),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(join(X_601,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(X_601),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(join(X_601,converse(join(skolemFOFtoCNF_X0,complement(one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_7393,refute_0_7447]) ).
cnf(refute_0_7449,plain,
meet(complement(X_601),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(join(X_601,converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(resolve,[$cnf( $equal(meet(complement(X_601),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(join(X_601,complement(meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7446,refute_0_7448]) ).
cnf(refute_0_7450,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),
inference(subst,[],[refute_0_7449:[bind(X_601,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7451,plain,
( complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))
| meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))))),bind(Z,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7452,plain,
( complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one)))))) )],[refute_0_7450,refute_0_7451]) ).
cnf(refute_0_7453,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(join(converse(skolemFOFtoCNF_X0),converse(join(skolemFOFtoCNF_X0,complement(one))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7445,refute_0_7452]) ).
cnf(refute_0_7454,plain,
meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7455,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))
| meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7456,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7454,refute_0_7455]) ).
cnf(refute_0_7457,plain,
meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7453,refute_0_7456]) ).
cnf(refute_0_7458,plain,
( meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7459,plain,
( meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7457,refute_0_7458]) ).
cnf(refute_0_7460,plain,
meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(one,meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_6776,refute_0_7459]) ).
cnf(refute_0_7461,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7462,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(meet(one,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7463,plain,
( meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7461,refute_0_7462]) ).
cnf(refute_0_7464,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7460,refute_0_7463]) ).
cnf(refute_0_7465,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7466,plain,
( meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7464,refute_0_7465]) ).
cnf(refute_0_7467,plain,
meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7420,refute_0_7466]) ).
cnf(refute_0_7468,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7469,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))
| converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7467,refute_0_7468]) ).
cnf(refute_0_7470,plain,
converse(meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,meet(complement(converse(skolemFOFtoCNF_X0)),meet(one,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_6195,refute_0_7469]) ).
cnf(refute_0_7471,plain,
( converse(meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) = converse(meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7472,plain,
meet(one,complement(converse(skolemFOFtoCNF_X0))) = converse(meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7470,refute_0_7471]) ).
cnf(refute_0_7473,plain,
join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7474,plain,
( join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7475,plain,
( meet(one,complement(converse(skolemFOFtoCNF_X0))) != converse(meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7473,refute_0_7474]) ).
cnf(refute_0_7476,plain,
join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(skolemFOFtoCNF_X0))),converse(meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7472,refute_0_7475]) ).
cnf(refute_0_7477,plain,
( join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7478,plain,
( join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0))))) )],[refute_0_7476,refute_0_7477]) ).
cnf(refute_0_7479,plain,
join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),converse(meet(one,complement(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_5565,refute_0_7478]) ).
cnf(refute_0_7480,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))) != converse(complement(skolemFOFtoCNF_X0))
| complement(converse(skolemFOFtoCNF_X0)) = converse(complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7481,plain,
( complement(converse(skolemFOFtoCNF_X0)) != join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))
| complement(converse(skolemFOFtoCNF_X0)) = converse(complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0)))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_7479,refute_0_7480]) ).
cnf(refute_0_7482,plain,
complement(converse(skolemFOFtoCNF_X0)) = converse(complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),join(complement(one),meet(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_3247,refute_0_7481]) ).
cnf(refute_0_7483,plain,
( complement(converse(skolemFOFtoCNF_X0)) != converse(complement(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(Y,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7484,plain,
converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_7482,refute_0_7483]) ).
cnf(refute_0_7485,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(converse(complement(skolemFOFtoCNF_X0))))) != complement(one)
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(converse(complement(skolemFOFtoCNF_X0))))),complement(one)) ),[0,1,1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7486,plain,
( join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(converse(complement(skolemFOFtoCNF_X0))))) != complement(one)
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_7484,refute_0_7485]) ).
cnf(refute_0_7487,plain,
join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(converse(complement(skolemFOFtoCNF_X0))))),complement(one)) )],[refute_0_3185,refute_0_7486]) ).
cnf(refute_0_7488,plain,
composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7489,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7490,plain,
( complement(complement(converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7488,refute_0_7489]) ).
cnf(refute_0_7491,plain,
composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(complement(converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_4090,refute_0_7490]) ).
cnf(refute_0_7492,plain,
join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7493,plain,
( composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7494,plain,
( composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7492,refute_0_7493]) ).
cnf(refute_0_7495,plain,
join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_7491,refute_0_7494]) ).
cnf(refute_0_7496,plain,
( join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) != complement(one)
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))),complement(one)) ),[0],$fot(join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7497,plain,
( join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))) != complement(one)
| join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7495,refute_0_7496]) ).
cnf(refute_0_7498,plain,
join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),complement(complement(converse(skolemFOFtoCNF_X0))))),complement(one)) )],[refute_0_7487,refute_0_7497]) ).
cnf(refute_0_7499,plain,
( join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(one)
| top != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| top = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,1,0],$fot(complement(one))]]) ).
cnf(refute_0_7500,plain,
( top != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| top = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_7498,refute_0_7499]) ).
cnf(refute_0_7501,plain,
top = join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_3175,refute_0_7500]) ).
cnf(refute_0_7502,plain,
join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))) = complement(meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(one)),bind(X1,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_7503,plain,
join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))) = join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_7504,plain,
( join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))) != join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))),join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_7505,plain,
( join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))) != complement(meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))),join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7503,refute_0_7504]) ).
cnf(refute_0_7506,plain,
join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))),complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_7502,refute_0_7505]) ).
cnf(refute_0_7507,plain,
join(X0,join(X0,join(X_597,X_598))) = join(X0,join(X_597,X_598)),
inference(subst,[],[refute_0_1477:[bind(X_139,$fot(join(X_597,X_598)))]]) ).
cnf(refute_0_7508,plain,
join(X0,join(X_597,X_598)) = join(X_597,join(X0,X_598)),
inference(subst,[],[refute_0_1275:[bind(X_63,$fot(X0)),bind(X_64,$fot(X_597)),bind(X_65,$fot(X_598))]]) ).
cnf(refute_0_7509,plain,
( join(X0,join(X0,join(X_597,X_598))) != join(X0,join(X_597,X_598))
| join(X0,join(X_597,X_598)) != join(X_597,join(X0,X_598))
| join(X0,join(X_597,join(X0,X_598))) = join(X0,join(X_597,X_598)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X0,join(X_597,X_598))),join(X0,join(X_597,X_598))) ),[0,1],$fot(join(X_597,join(X0,X_598)))]]) ).
cnf(refute_0_7510,plain,
( join(X0,join(X0,join(X_597,X_598))) != join(X0,join(X_597,X_598))
| join(X0,join(X_597,join(X0,X_598))) = join(X0,join(X_597,X_598)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_597,X_598)),join(X_597,join(X0,X_598))) )],[refute_0_7508,refute_0_7509]) ).
cnf(refute_0_7511,plain,
join(X0,join(X_597,join(X0,X_598))) = join(X0,join(X_597,X_598)),
inference(resolve,[$cnf( $equal(join(X0,join(X0,join(X_597,X_598))),join(X0,join(X_597,X_598))) )],[refute_0_7507,refute_0_7510]) ).
cnf(refute_0_7512,plain,
join(X0,join(X0,join(X_595,X_593))) = join(X0,join(X_595,X_593)),
inference(subst,[],[refute_0_1477:[bind(X_139,$fot(join(X_595,X_593)))]]) ).
cnf(refute_0_7513,plain,
join(X_593,join(X0,X_595)) = join(X0,join(X_595,X_593)),
inference(subst,[],[refute_0_2936:[bind(X0,$fot(X_593)),bind(X_63,$fot(X0)),bind(X_64,$fot(X_595))]]) ).
cnf(refute_0_7514,plain,
( join(X_593,join(X0,X_595)) != join(X0,join(X_595,X_593))
| join(X0,join(X_595,X_593)) = join(X_593,join(X0,X_595)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_593,join(X0,X_595)))),bind(Y,$fot(join(X0,join(X_595,X_593))))]]) ).
cnf(refute_0_7515,plain,
join(X0,join(X_595,X_593)) = join(X_593,join(X0,X_595)),
inference(resolve,[$cnf( $equal(join(X_593,join(X0,X_595)),join(X0,join(X_595,X_593))) )],[refute_0_7513,refute_0_7514]) ).
cnf(refute_0_7516,plain,
( join(X0,join(X0,join(X_595,X_593))) != join(X0,join(X_595,X_593))
| join(X0,join(X_595,X_593)) != join(X_593,join(X0,X_595))
| join(X0,join(X_593,join(X0,X_595))) = join(X0,join(X_595,X_593)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X0,join(X_595,X_593))),join(X0,join(X_595,X_593))) ),[0,1],$fot(join(X_593,join(X0,X_595)))]]) ).
cnf(refute_0_7517,plain,
( join(X0,join(X0,join(X_595,X_593))) != join(X0,join(X_595,X_593))
| join(X0,join(X_593,join(X0,X_595))) = join(X0,join(X_595,X_593)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_595,X_593)),join(X_593,join(X0,X_595))) )],[refute_0_7515,refute_0_7516]) ).
cnf(refute_0_7518,plain,
join(X0,join(X_593,join(X0,X_595))) = join(X0,join(X_595,X_593)),
inference(resolve,[$cnf( $equal(join(X0,join(X0,join(X_595,X_593))),join(X0,join(X_595,X_593))) )],[refute_0_7512,refute_0_7517]) ).
cnf(refute_0_7519,plain,
join(X0,join(X_597,join(X0,X_598))) = join(X0,join(X_598,X_597)),
inference(subst,[],[refute_0_7518:[bind(X_593,$fot(X_597)),bind(X_595,$fot(X_598))]]) ).
cnf(refute_0_7520,plain,
( join(X0,join(X_597,join(X0,X_598))) != join(X0,join(X_597,X_598))
| join(X0,join(X_597,join(X0,X_598))) != join(X0,join(X_598,X_597))
| join(X0,join(X_598,X_597)) = join(X0,join(X_597,X_598)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_597,join(X0,X_598))),join(X0,join(X_597,X_598))) ),[0],$fot(join(X0,join(X_598,X_597)))]]) ).
cnf(refute_0_7521,plain,
( join(X0,join(X_597,join(X0,X_598))) != join(X0,join(X_597,X_598))
| join(X0,join(X_598,X_597)) = join(X0,join(X_597,X_598)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_597,join(X0,X_598))),join(X0,join(X_598,X_597))) )],[refute_0_7519,refute_0_7520]) ).
cnf(refute_0_7522,plain,
join(X0,join(X_598,X_597)) = join(X0,join(X_597,X_598)),
inference(resolve,[$cnf( $equal(join(X0,join(X_597,join(X0,X_598))),join(X0,join(X_597,X_598))) )],[refute_0_7511,refute_0_7521]) ).
cnf(refute_0_7523,plain,
( join(X0,join(X_598,X_597)) != join(X0,join(X_597,X_598))
| join(X0,join(X_597,X_598)) = join(X0,join(X_598,X_597)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X_598,X_597)))),bind(Y,$fot(join(X0,join(X_597,X_598))))]]) ).
cnf(refute_0_7524,plain,
join(X0,join(X_597,X_598)) = join(X0,join(X_598,X_597)),
inference(resolve,[$cnf( $equal(join(X0,join(X_598,X_597)),join(X0,join(X_597,X_598))) )],[refute_0_7522,refute_0_7523]) ).
cnf(refute_0_7525,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))) = join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_7524:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_597,$fot(complement(composition(skolemFOFtoCNF_X0,top)))),bind(X_598,$fot(complement(one)))]]) ).
cnf(refute_0_7526,plain,
( join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))) != join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))))
| join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_7527,plain,
( join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))),join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7525,refute_0_7526]) ).
cnf(refute_0_7528,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(one),complement(composition(skolemFOFtoCNF_X0,top)))),join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7506,refute_0_7527]) ).
cnf(refute_0_7529,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) = join(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7530,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X1,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7531,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7532,plain,
composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = zero,
inference(subst,[],[refute_0_3794:[bind(X_101,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_102,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7533,plain,
join(meet(X_44,X_43),join(meet(X_44,X_43),meet(complement(X_43),X_44))) = join(meet(X_44,X_43),meet(complement(X_43),X_44)),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(meet(X_44,X_43))),bind(X_139,$fot(meet(complement(X_43),X_44)))]]) ).
cnf(refute_0_7534,plain,
( X_44 != join(meet(X_44,X_43),meet(complement(X_43),X_44))
| join(meet(X_44,X_43),meet(complement(X_43),X_44)) = X_44 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_44)),bind(Y,$fot(join(meet(X_44,X_43),meet(complement(X_43),X_44))))]]) ).
cnf(refute_0_7535,plain,
join(meet(X_44,X_43),meet(complement(X_43),X_44)) = X_44,
inference(resolve,[$cnf( $equal(X_44,join(meet(X_44,X_43),meet(complement(X_43),X_44))) )],[refute_0_1107,refute_0_7534]) ).
cnf(refute_0_7536,plain,
( join(meet(X_44,X_43),join(meet(X_44,X_43),meet(complement(X_43),X_44))) != join(meet(X_44,X_43),meet(complement(X_43),X_44))
| join(meet(X_44,X_43),meet(complement(X_43),X_44)) != X_44
| join(meet(X_44,X_43),X_44) = join(meet(X_44,X_43),meet(complement(X_43),X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_44,X_43),join(meet(X_44,X_43),meet(complement(X_43),X_44))),join(meet(X_44,X_43),meet(complement(X_43),X_44))) ),[0,1],$fot(X_44)]]) ).
cnf(refute_0_7537,plain,
( join(meet(X_44,X_43),join(meet(X_44,X_43),meet(complement(X_43),X_44))) != join(meet(X_44,X_43),meet(complement(X_43),X_44))
| join(meet(X_44,X_43),X_44) = join(meet(X_44,X_43),meet(complement(X_43),X_44)) ),
inference(resolve,[$cnf( $equal(join(meet(X_44,X_43),meet(complement(X_43),X_44)),X_44) )],[refute_0_7535,refute_0_7536]) ).
cnf(refute_0_7538,plain,
join(meet(X_44,X_43),X_44) = join(meet(X_44,X_43),meet(complement(X_43),X_44)),
inference(resolve,[$cnf( $equal(join(meet(X_44,X_43),join(meet(X_44,X_43),meet(complement(X_43),X_44))),join(meet(X_44,X_43),meet(complement(X_43),X_44))) )],[refute_0_7533,refute_0_7537]) ).
cnf(refute_0_7539,plain,
join(meet(X_44,X_43),X_44) = join(X_44,meet(X_44,X_43)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(X_44)),bind(X1,$fot(meet(X_44,X_43)))]]) ).
cnf(refute_0_7540,plain,
( join(meet(X_44,X_43),X_44) != join(X_44,meet(X_44,X_43))
| join(meet(X_44,X_43),X_44) != join(meet(X_44,X_43),meet(complement(X_43),X_44))
| join(X_44,meet(X_44,X_43)) = join(meet(X_44,X_43),meet(complement(X_43),X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_44,X_43),X_44),join(meet(X_44,X_43),meet(complement(X_43),X_44))) ),[0],$fot(join(X_44,meet(X_44,X_43)))]]) ).
cnf(refute_0_7541,plain,
( join(meet(X_44,X_43),X_44) != join(meet(X_44,X_43),meet(complement(X_43),X_44))
| join(X_44,meet(X_44,X_43)) = join(meet(X_44,X_43),meet(complement(X_43),X_44)) ),
inference(resolve,[$cnf( $equal(join(meet(X_44,X_43),X_44),join(X_44,meet(X_44,X_43))) )],[refute_0_7539,refute_0_7540]) ).
cnf(refute_0_7542,plain,
( join(X_44,meet(X_44,X_43)) != join(meet(X_44,X_43),meet(complement(X_43),X_44))
| join(meet(X_44,X_43),meet(complement(X_43),X_44)) != X_44
| join(X_44,meet(X_44,X_43)) = X_44 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_44,meet(X_44,X_43)),X_44) ),[0],$fot(join(meet(X_44,X_43),meet(complement(X_43),X_44)))]]) ).
cnf(refute_0_7543,plain,
( join(X_44,meet(X_44,X_43)) != join(meet(X_44,X_43),meet(complement(X_43),X_44))
| join(X_44,meet(X_44,X_43)) = X_44 ),
inference(resolve,[$cnf( $equal(join(meet(X_44,X_43),meet(complement(X_43),X_44)),X_44) )],[refute_0_7535,refute_0_7542]) ).
cnf(refute_0_7544,plain,
( join(meet(X_44,X_43),X_44) != join(meet(X_44,X_43),meet(complement(X_43),X_44))
| join(X_44,meet(X_44,X_43)) = X_44 ),
inference(resolve,[$cnf( $equal(join(X_44,meet(X_44,X_43)),join(meet(X_44,X_43),meet(complement(X_43),X_44))) )],[refute_0_7541,refute_0_7543]) ).
cnf(refute_0_7545,plain,
join(X_44,meet(X_44,X_43)) = X_44,
inference(resolve,[$cnf( $equal(join(meet(X_44,X_43),X_44),join(meet(X_44,X_43),meet(complement(X_43),X_44))) )],[refute_0_7538,refute_0_7544]) ).
cnf(refute_0_7546,plain,
join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_7545:[bind(X_43,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),bind(X_44,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7547,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1181:[bind(X1,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),bind(X_27,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7548,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) = converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7549,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_139,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7550,plain,
converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_7161:[bind(X_412,$fot(complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7551,plain,
complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(X_55,$fot(one))]]) ).
cnf(refute_0_7552,plain,
one = join(meet(one,complement(join(converse(complement(one)),X_367))),meet(complement(complement(join(converse(complement(one)),X_367))),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(complement(join(converse(complement(one)),X_367)))),bind(X_44,$fot(one))]]) ).
cnf(refute_0_7553,plain,
complement(join(converse(complement(one)),X_366)) = meet(complement(join(converse(complement(one)),X_366)),join(one,complement(join(one,join(converse(complement(one)),X_366))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(one)),bind(X_213,$fot(join(converse(complement(one)),X_366)))]]) ).
cnf(refute_0_7554,plain,
join(one,join(converse(complement(converse(one))),X_171)) = top,
inference(subst,[],[refute_0_3895:[bind(X_63,$fot(one)),bind(X_65,$fot(X_171))]]) ).
cnf(refute_0_7555,plain,
( converse(one) != one
| join(one,join(converse(complement(converse(one))),X_171)) != top
| join(one,join(converse(complement(one)),X_171)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(complement(converse(one))),X_171)),top) ),[0,1,0,0,0],$fot(one)]]) ).
cnf(refute_0_7556,plain,
( join(one,join(converse(complement(converse(one))),X_171)) != top
| join(one,join(converse(complement(one)),X_171)) = top ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_7555]) ).
cnf(refute_0_7557,plain,
join(one,join(converse(complement(one)),X_171)) = top,
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(converse(one))),X_171)),top) )],[refute_0_7554,refute_0_7556]) ).
cnf(refute_0_7558,plain,
join(one,join(converse(complement(one)),X_366)) = top,
inference(subst,[],[refute_0_7557:[bind(X_171,$fot(X_366))]]) ).
cnf(refute_0_7559,plain,
( complement(join(converse(complement(one)),X_366)) != meet(complement(join(converse(complement(one)),X_366)),join(one,complement(join(one,join(converse(complement(one)),X_366)))))
| join(one,join(converse(complement(one)),X_366)) != top
| complement(join(converse(complement(one)),X_366)) = meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(one)),X_366)),meet(complement(join(converse(complement(one)),X_366)),join(one,complement(join(one,join(converse(complement(one)),X_366)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_7560,plain,
( complement(join(converse(complement(one)),X_366)) != meet(complement(join(converse(complement(one)),X_366)),join(one,complement(join(one,join(converse(complement(one)),X_366)))))
| complement(join(converse(complement(one)),X_366)) = meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(one)),X_366)),top) )],[refute_0_7558,refute_0_7559]) ).
cnf(refute_0_7561,plain,
complement(join(converse(complement(one)),X_366)) = meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X_366)),meet(complement(join(converse(complement(one)),X_366)),join(one,complement(join(one,join(converse(complement(one)),X_366)))))) )],[refute_0_7553,refute_0_7560]) ).
cnf(refute_0_7562,plain,
meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))) = meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))),
introduced(tautology,[refl,[$fot(meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))))]]) ).
cnf(refute_0_7563,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))) != meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366)))
| meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))) = meet(one,complement(join(converse(complement(one)),X_366))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))),meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7564,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))) = meet(one,complement(join(converse(complement(one)),X_366))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))),meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366)))) )],[refute_0_7562,refute_0_7563]) ).
cnf(refute_0_7565,plain,
meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))) = meet(one,complement(join(converse(complement(one)),X_366))),
inference(resolve,[$cnf( $equal(join(one,complement(top)),one) )],[refute_0_2842,refute_0_7564]) ).
cnf(refute_0_7566,plain,
meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))) = meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(one,complement(top)))),bind(X_25,$fot(complement(join(converse(complement(one)),X_366))))]]) ).
cnf(refute_0_7567,plain,
( meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))) != meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366)))
| meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))) != meet(one,complement(join(converse(complement(one)),X_366)))
| meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))) = meet(one,complement(join(converse(complement(one)),X_366))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))))),bind(Z,$fot(meet(one,complement(join(converse(complement(one)),X_366)))))]]) ).
cnf(refute_0_7568,plain,
( meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))) != meet(one,complement(join(converse(complement(one)),X_366)))
| meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))) = meet(one,complement(join(converse(complement(one)),X_366))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))),meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366)))) )],[refute_0_7566,refute_0_7567]) ).
cnf(refute_0_7569,plain,
meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))) = meet(one,complement(join(converse(complement(one)),X_366))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(converse(complement(one)),X_366))),meet(one,complement(join(converse(complement(one)),X_366)))) )],[refute_0_7565,refute_0_7568]) ).
cnf(refute_0_7570,plain,
( complement(join(converse(complement(one)),X_366)) != meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top)))
| meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))) != meet(one,complement(join(converse(complement(one)),X_366)))
| complement(join(converse(complement(one)),X_366)) = meet(one,complement(join(converse(complement(one)),X_366))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(converse(complement(one)),X_366)),meet(one,complement(join(converse(complement(one)),X_366)))) ),[0],$fot(meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))))]]) ).
cnf(refute_0_7571,plain,
( complement(join(converse(complement(one)),X_366)) != meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top)))
| complement(join(converse(complement(one)),X_366)) = meet(one,complement(join(converse(complement(one)),X_366))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top))),meet(one,complement(join(converse(complement(one)),X_366)))) )],[refute_0_7569,refute_0_7570]) ).
cnf(refute_0_7572,plain,
complement(join(converse(complement(one)),X_366)) = meet(one,complement(join(converse(complement(one)),X_366))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X_366)),meet(complement(join(converse(complement(one)),X_366)),join(one,complement(top)))) )],[refute_0_7561,refute_0_7571]) ).
cnf(refute_0_7573,plain,
complement(join(converse(complement(one)),X_367)) = meet(one,complement(join(converse(complement(one)),X_367))),
inference(subst,[],[refute_0_7572:[bind(X_366,$fot(X_367))]]) ).
cnf(refute_0_7574,plain,
( complement(join(converse(complement(one)),X_367)) != meet(one,complement(join(converse(complement(one)),X_367)))
| meet(one,complement(join(converse(complement(one)),X_367))) = complement(join(converse(complement(one)),X_367)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(join(converse(complement(one)),X_367)))),bind(Y,$fot(meet(one,complement(join(converse(complement(one)),X_367)))))]]) ).
cnf(refute_0_7575,plain,
meet(one,complement(join(converse(complement(one)),X_367))) = complement(join(converse(complement(one)),X_367)),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X_367)),meet(one,complement(join(converse(complement(one)),X_367)))) )],[refute_0_7573,refute_0_7574]) ).
cnf(refute_0_7576,plain,
( meet(one,complement(join(converse(complement(one)),X_367))) != complement(join(converse(complement(one)),X_367))
| one != join(meet(one,complement(join(converse(complement(one)),X_367))),meet(complement(complement(join(converse(complement(one)),X_367))),one))
| one = join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(join(converse(complement(one)),X_367))),meet(complement(complement(join(converse(complement(one)),X_367))),one))) ),[1,0],$fot(complement(join(converse(complement(one)),X_367)))]]) ).
cnf(refute_0_7577,plain,
( one != join(meet(one,complement(join(converse(complement(one)),X_367))),meet(complement(complement(join(converse(complement(one)),X_367))),one))
| one = join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(join(converse(complement(one)),X_367))),complement(join(converse(complement(one)),X_367))) )],[refute_0_7575,refute_0_7576]) ).
cnf(refute_0_7578,plain,
one = join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(join(converse(complement(one)),X_367))),meet(complement(complement(join(converse(complement(one)),X_367))),one))) )],[refute_0_7552,refute_0_7577]) ).
cnf(refute_0_7579,plain,
complement(complement(join(converse(complement(one)),X_367))) = join(converse(complement(one)),X_367),
inference(subst,[],[refute_0_303:[bind(X0,$fot(join(converse(complement(one)),X_367)))]]) ).
cnf(refute_0_7580,plain,
meet(one,complement(complement(join(converse(complement(one)),X_367)))) = meet(one,complement(complement(join(converse(complement(one)),X_367)))),
introduced(tautology,[refl,[$fot(meet(one,complement(complement(join(converse(complement(one)),X_367)))))]]) ).
cnf(refute_0_7581,plain,
( complement(complement(join(converse(complement(one)),X_367))) != join(converse(complement(one)),X_367)
| meet(one,complement(complement(join(converse(complement(one)),X_367)))) != meet(one,complement(complement(join(converse(complement(one)),X_367))))
| meet(one,complement(complement(join(converse(complement(one)),X_367)))) = meet(one,join(converse(complement(one)),X_367)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(complement(join(converse(complement(one)),X_367)))),meet(one,complement(complement(join(converse(complement(one)),X_367))))) ),[1,1],$fot(join(converse(complement(one)),X_367))]]) ).
cnf(refute_0_7582,plain,
( complement(complement(join(converse(complement(one)),X_367))) != join(converse(complement(one)),X_367)
| meet(one,complement(complement(join(converse(complement(one)),X_367)))) = meet(one,join(converse(complement(one)),X_367)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(join(converse(complement(one)),X_367)))),meet(one,complement(complement(join(converse(complement(one)),X_367))))) )],[refute_0_7580,refute_0_7581]) ).
cnf(refute_0_7583,plain,
meet(one,complement(complement(join(converse(complement(one)),X_367)))) = meet(one,join(converse(complement(one)),X_367)),
inference(resolve,[$cnf( $equal(complement(complement(join(converse(complement(one)),X_367))),join(converse(complement(one)),X_367)) )],[refute_0_7579,refute_0_7582]) ).
cnf(refute_0_7584,plain,
meet(complement(complement(join(converse(complement(one)),X_367))),one) = meet(one,complement(complement(join(converse(complement(one)),X_367)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(complement(join(converse(complement(one)),X_367)))))]]) ).
cnf(refute_0_7585,plain,
( meet(complement(complement(join(converse(complement(one)),X_367))),one) != meet(one,complement(complement(join(converse(complement(one)),X_367))))
| meet(one,complement(complement(join(converse(complement(one)),X_367)))) != meet(one,join(converse(complement(one)),X_367))
| meet(complement(complement(join(converse(complement(one)),X_367))),one) = meet(one,join(converse(complement(one)),X_367)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(complement(join(converse(complement(one)),X_367))),one))),bind(Y,$fot(meet(one,complement(complement(join(converse(complement(one)),X_367)))))),bind(Z,$fot(meet(one,join(converse(complement(one)),X_367))))]]) ).
cnf(refute_0_7586,plain,
( meet(one,complement(complement(join(converse(complement(one)),X_367)))) != meet(one,join(converse(complement(one)),X_367))
| meet(complement(complement(join(converse(complement(one)),X_367))),one) = meet(one,join(converse(complement(one)),X_367)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(converse(complement(one)),X_367))),one),meet(one,complement(complement(join(converse(complement(one)),X_367))))) )],[refute_0_7584,refute_0_7585]) ).
cnf(refute_0_7587,plain,
meet(complement(complement(join(converse(complement(one)),X_367))),one) = meet(one,join(converse(complement(one)),X_367)),
inference(resolve,[$cnf( $equal(meet(one,complement(complement(join(converse(complement(one)),X_367)))),meet(one,join(converse(complement(one)),X_367))) )],[refute_0_7583,refute_0_7586]) ).
cnf(refute_0_7588,plain,
join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)) = join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)),
introduced(tautology,[refl,[$fot(join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)))]]) ).
cnf(refute_0_7589,plain,
( join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)) != join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one))
| meet(complement(complement(join(converse(complement(one)),X_367))),one) != meet(one,join(converse(complement(one)),X_367))
| join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)) = join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)),join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one))) ),[1,1],$fot(meet(one,join(converse(complement(one)),X_367)))]]) ).
cnf(refute_0_7590,plain,
( meet(complement(complement(join(converse(complement(one)),X_367))),one) != meet(one,join(converse(complement(one)),X_367))
| join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)) = join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)),join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one))) )],[refute_0_7588,refute_0_7589]) ).
cnf(refute_0_7591,plain,
join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)) = join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(converse(complement(one)),X_367))),one),meet(one,join(converse(complement(one)),X_367))) )],[refute_0_7587,refute_0_7590]) ).
cnf(refute_0_7592,plain,
( join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)) != join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))
| one != join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one))
| one = join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one))) ),[1],$fot(join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))))]]) ).
cnf(refute_0_7593,plain,
( one != join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one))
| one = join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one)),join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))) )],[refute_0_7591,refute_0_7592]) ).
cnf(refute_0_7594,plain,
one = join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))),
inference(resolve,[$cnf( $equal(one,join(complement(join(converse(complement(one)),X_367)),meet(complement(complement(join(converse(complement(one)),X_367))),one))) )],[refute_0_7578,refute_0_7593]) ).
cnf(refute_0_7595,plain,
join(converse(complement(one)),X_367) = join(converse(complement(one)),X_367),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),X_367))]]) ).
cnf(refute_0_7596,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),X_367) != join(converse(complement(one)),X_367)
| join(converse(complement(one)),X_367) = join(complement(one),X_367) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),X_367),join(converse(complement(one)),X_367)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7597,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),X_367) = join(complement(one),X_367) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X_367),join(converse(complement(one)),X_367)) )],[refute_0_7595,refute_0_7596]) ).
cnf(refute_0_7598,plain,
join(converse(complement(one)),X_367) = join(complement(one),X_367),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_5522,refute_0_7597]) ).
cnf(refute_0_7599,plain,
meet(one,join(converse(complement(one)),X_367)) = meet(one,join(converse(complement(one)),X_367)),
introduced(tautology,[refl,[$fot(meet(one,join(converse(complement(one)),X_367)))]]) ).
cnf(refute_0_7600,plain,
( join(converse(complement(one)),X_367) != join(complement(one),X_367)
| meet(one,join(converse(complement(one)),X_367)) != meet(one,join(converse(complement(one)),X_367))
| meet(one,join(converse(complement(one)),X_367)) = meet(one,join(complement(one),X_367)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) ),[1,1],$fot(join(complement(one),X_367))]]) ).
cnf(refute_0_7601,plain,
( join(converse(complement(one)),X_367) != join(complement(one),X_367)
| meet(one,join(converse(complement(one)),X_367)) = meet(one,join(complement(one),X_367)) ),
inference(resolve,[$cnf( $equal(meet(one,join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) )],[refute_0_7599,refute_0_7600]) ).
cnf(refute_0_7602,plain,
meet(one,join(converse(complement(one)),X_367)) = meet(one,join(complement(one),X_367)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X_367),join(complement(one),X_367)) )],[refute_0_7598,refute_0_7601]) ).
cnf(refute_0_7603,plain,
join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))))]]) ).
cnf(refute_0_7604,plain,
( join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) != join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367)))
| meet(one,join(converse(complement(one)),X_367)) != meet(one,join(complement(one),X_367))
| join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))),join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367)))) ),[1,1],$fot(meet(one,join(complement(one),X_367)))]]) ).
cnf(refute_0_7605,plain,
( meet(one,join(converse(complement(one)),X_367)) != meet(one,join(complement(one),X_367))
| join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))),join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367)))) )],[refute_0_7603,refute_0_7604]) ).
cnf(refute_0_7606,plain,
join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))),
inference(resolve,[$cnf( $equal(meet(one,join(converse(complement(one)),X_367)),meet(one,join(complement(one),X_367))) )],[refute_0_7602,refute_0_7605]) ).
cnf(refute_0_7607,plain,
complement(join(complement(one),X_367)) = meet(one,complement(X_367)),
inference(subst,[],[refute_0_4505:[bind(X0,$fot(one)),bind(X_27,$fot(X_367))]]) ).
cnf(refute_0_7608,plain,
complement(join(converse(complement(one)),X_367)) = complement(join(converse(complement(one)),X_367)),
introduced(tautology,[refl,[$fot(complement(join(converse(complement(one)),X_367)))]]) ).
cnf(refute_0_7609,plain,
( complement(join(converse(complement(one)),X_367)) != complement(join(converse(complement(one)),X_367))
| join(converse(complement(one)),X_367) != join(complement(one),X_367)
| complement(join(converse(complement(one)),X_367)) = complement(join(complement(one),X_367)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(one)),X_367)),complement(join(converse(complement(one)),X_367))) ),[1,0],$fot(join(complement(one),X_367))]]) ).
cnf(refute_0_7610,plain,
( join(converse(complement(one)),X_367) != join(complement(one),X_367)
| complement(join(converse(complement(one)),X_367)) = complement(join(complement(one),X_367)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X_367)),complement(join(converse(complement(one)),X_367))) )],[refute_0_7608,refute_0_7609]) ).
cnf(refute_0_7611,plain,
complement(join(converse(complement(one)),X_367)) = complement(join(complement(one),X_367)),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),X_367),join(complement(one),X_367)) )],[refute_0_7598,refute_0_7610]) ).
cnf(refute_0_7612,plain,
( complement(join(complement(one),X_367)) != meet(one,complement(X_367))
| complement(join(converse(complement(one)),X_367)) != complement(join(complement(one),X_367))
| complement(join(converse(complement(one)),X_367)) = meet(one,complement(X_367)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(converse(complement(one)),X_367)))),bind(Y,$fot(complement(join(complement(one),X_367)))),bind(Z,$fot(meet(one,complement(X_367))))]]) ).
cnf(refute_0_7613,plain,
( complement(join(complement(one),X_367)) != meet(one,complement(X_367))
| complement(join(converse(complement(one)),X_367)) = meet(one,complement(X_367)) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X_367)),complement(join(complement(one),X_367))) )],[refute_0_7611,refute_0_7612]) ).
cnf(refute_0_7614,plain,
complement(join(converse(complement(one)),X_367)) = meet(one,complement(X_367)),
inference(resolve,[$cnf( $equal(complement(join(complement(one),X_367)),meet(one,complement(X_367))) )],[refute_0_7607,refute_0_7613]) ).
cnf(refute_0_7615,plain,
join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) = join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))),
introduced(tautology,[refl,[$fot(join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))))]]) ).
cnf(refute_0_7616,plain,
( complement(join(converse(complement(one)),X_367)) != meet(one,complement(X_367))
| join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) != join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))
| join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))),join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))) ),[1,0],$fot(meet(one,complement(X_367)))]]) ).
cnf(refute_0_7617,plain,
( complement(join(converse(complement(one)),X_367)) != meet(one,complement(X_367))
| join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))),join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))) )],[refute_0_7615,refute_0_7616]) ).
cnf(refute_0_7618,plain,
join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),X_367)),meet(one,complement(X_367))) )],[refute_0_7614,refute_0_7617]) ).
cnf(refute_0_7619,plain,
( join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) != join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367)))
| join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) != join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367)))
| join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))))),bind(Y,$fot(join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))))),bind(Z,$fot(join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367)))))]]) ).
cnf(refute_0_7620,plain,
( join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))) != join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367)))
| join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))),join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367)))) )],[refute_0_7618,refute_0_7619]) ).
cnf(refute_0_7621,plain,
join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(X_367)),meet(one,join(converse(complement(one)),X_367))),join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367)))) )],[refute_0_7606,refute_0_7620]) ).
cnf(refute_0_7622,plain,
( join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))) != join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367)))
| one != join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))
| one = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))) ),[1],$fot(join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))))]]) ).
cnf(refute_0_7623,plain,
( one != join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))
| one = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))) ),
inference(resolve,[$cnf( $equal(join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367))),join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367)))) )],[refute_0_7621,refute_0_7622]) ).
cnf(refute_0_7624,plain,
one = join(meet(one,complement(X_367)),meet(one,join(complement(one),X_367))),
inference(resolve,[$cnf( $equal(one,join(complement(join(converse(complement(one)),X_367)),meet(one,join(converse(complement(one)),X_367)))) )],[refute_0_7594,refute_0_7623]) ).
cnf(refute_0_7625,plain,
one = join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_7624:[bind(X_367,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7626,plain,
( join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(one)
| one != join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| one = join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,1,1],$fot(complement(one))]]) ).
cnf(refute_0_7627,plain,
( one != join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| one = join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(one)) )],[refute_0_7498,refute_0_7626]) ).
cnf(refute_0_7628,plain,
one = join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,join(complement(one),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7625,refute_0_7627]) ).
cnf(refute_0_7629,plain,
join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7630,plain,
join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7631,plain,
( join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(one)) != zero
| join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7632,plain,
( meet(one,complement(one)) != zero
| join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7630,refute_0_7631]) ).
cnf(refute_0_7633,plain,
join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(one,complement(one)),zero) )],[refute_0_3641,refute_0_7632]) ).
cnf(refute_0_7634,plain,
( join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7635,plain,
( join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7633,refute_0_7634]) ).
cnf(refute_0_7636,plain,
join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7629,refute_0_7635]) ).
cnf(refute_0_7637,plain,
join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))) = join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(meet(one,complement(one)))),bind(X1,$fot(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7638,plain,
( join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))) != join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))) = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))))),bind(Y,$fot(join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7639,plain,
( join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))) = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))),join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7637,refute_0_7638]) ).
cnf(refute_0_7640,plain,
join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))) = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(one)),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7636,refute_0_7639]) ).
cnf(refute_0_7641,plain,
( join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))) != meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| one != join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one)))
| one = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one)))) ),[1],$fot(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7642,plain,
( one != join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one)))
| one = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one))),meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7640,refute_0_7641]) ).
cnf(refute_0_7643,plain,
one = meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(one,complement(one)))) )],[refute_0_7628,refute_0_7642]) ).
cnf(refute_0_7644,plain,
( one != meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7645,plain,
meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7643,refute_0_7644]) ).
cnf(refute_0_7646,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != one
| complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7647,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_7645,refute_0_7646]) ).
cnf(refute_0_7648,plain,
complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(meet(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7551,refute_0_7647]) ).
cnf(refute_0_7649,plain,
meet(complement(X_601),complement(X0)) = complement(join(X_601,complement(complement(X0)))),
inference(subst,[],[refute_0_1181:[bind(X1,$fot(complement(X0))),bind(X_27,$fot(X_601))]]) ).
cnf(refute_0_7650,plain,
( complement(complement(X0)) != X0
| meet(complement(X_601),complement(X0)) != complement(join(X_601,complement(complement(X0))))
| meet(complement(X_601),complement(X0)) = complement(join(X_601,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_601),complement(X0)),complement(join(X_601,complement(complement(X0))))) ),[1,0,1],$fot(X0)]]) ).
cnf(refute_0_7651,plain,
( meet(complement(X_601),complement(X0)) != complement(join(X_601,complement(complement(X0))))
| meet(complement(X_601),complement(X0)) = complement(join(X_601,X0)) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_7650]) ).
cnf(refute_0_7652,plain,
meet(complement(X_601),complement(X0)) = complement(join(X_601,X0)),
inference(resolve,[$cnf( $equal(meet(complement(X_601),complement(X0)),complement(join(X_601,complement(complement(X0))))) )],[refute_0_7649,refute_0_7651]) ).
cnf(refute_0_7653,plain,
meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_7652:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),bind(X_601,$fot(one))]]) ).
cnf(refute_0_7654,plain,
join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7655,plain,
( join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7656,plain,
( meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7654,refute_0_7655]) ).
cnf(refute_0_7657,plain,
join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7653,refute_0_7656]) ).
cnf(refute_0_7658,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7659,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7657,refute_0_7658]) ).
cnf(refute_0_7660,plain,
complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(one,meet(complement(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7648,refute_0_7659]) ).
cnf(refute_0_7661,plain,
( complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7662,plain,
join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7660,refute_0_7661]) ).
cnf(refute_0_7663,plain,
( converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))
| join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))) ),[1,1,1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7664,plain,
( converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))
| converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7662,refute_0_7663]) ).
cnf(refute_0_7665,plain,
converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_7550,refute_0_7664]) ).
cnf(refute_0_7666,plain,
converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7667,plain,
( converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7668,plain,
( join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7666,refute_0_7667]) ).
cnf(refute_0_7669,plain,
converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7662,refute_0_7668]) ).
cnf(refute_0_7670,plain,
( converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7671,plain,
( converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7669,refute_0_7670]) ).
cnf(refute_0_7672,plain,
converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7665,refute_0_7671]) ).
cnf(refute_0_7673,plain,
( converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7674,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7672,refute_0_7673]) ).
cnf(refute_0_7675,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7676,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7674,refute_0_7675]) ).
cnf(refute_0_7677,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7549,refute_0_7676]) ).
cnf(refute_0_7678,plain,
join(skolemFOFtoCNF_X0,join(X_64,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(X_64,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1275:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_65,$fot(meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7679,plain,
( join(skolemFOFtoCNF_X0,join(X_64,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(X_64,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(X_64,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(X_64,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_64,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(X_64,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7680,plain,
( join(skolemFOFtoCNF_X0,join(X_64,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(X_64,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,join(X_64,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(X_64,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7674,refute_0_7679]) ).
cnf(refute_0_7681,plain,
join(skolemFOFtoCNF_X0,join(X_64,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(X_64,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(X_64,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(X_64,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7678,refute_0_7680]) ).
cnf(refute_0_7682,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_7681:[bind(X_64,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7683,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7684,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7682,refute_0_7683]) ).
cnf(refute_0_7685,plain,
join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7677,refute_0_7684]) ).
cnf(refute_0_7686,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) = converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) ),[1,0,1],$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7687,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) = converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7685,refute_0_7686]) ).
cnf(refute_0_7688,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) = converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7548,refute_0_7687]) ).
cnf(refute_0_7689,plain,
join(one,join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(X_64,join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1275:[bind(X_63,$fot(one)),bind(X_65,$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7690,plain,
join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(one)),bind(X_139,$fot(complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7691,plain,
( join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7692,plain,
( join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7662,refute_0_7691]) ).
cnf(refute_0_7693,plain,
join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7690,refute_0_7692]) ).
cnf(refute_0_7694,plain,
join(one,join(X_64,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(X_64,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1275:[bind(X_63,$fot(one)),bind(X_65,$fot(complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7695,plain,
( join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(one,join(X_64,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(X_64,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(one,join(X_64,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_64,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(X_64,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7696,plain,
( join(one,join(X_64,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(X_64,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(one,join(X_64,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7662,refute_0_7695]) ).
cnf(refute_0_7697,plain,
join(one,join(X_64,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(X_64,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(X_64,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7694,refute_0_7696]) ).
cnf(refute_0_7698,plain,
join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_7697:[bind(X_64,$fot(one))]]) ).
cnf(refute_0_7699,plain,
( join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7700,plain,
( join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7698,refute_0_7699]) ).
cnf(refute_0_7701,plain,
join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7693,refute_0_7700]) ).
cnf(refute_0_7702,plain,
( join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(one,join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(X_64,join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(X_64,join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7703,plain,
( join(one,join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(X_64,join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7701,refute_0_7702]) ).
cnf(refute_0_7704,plain,
join(one,join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(X_64,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(X_64,join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7689,refute_0_7703]) ).
cnf(refute_0_7705,plain,
join(one,join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_7704:[bind(X_64,$fot(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7706,plain,
join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(one,join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_806:[bind(X_65,$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(X_7,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7707,plain,
( join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != join(one,join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(one,join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7708,plain,
( join(one,join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),join(one,join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7706,refute_0_7707]) ).
cnf(refute_0_7709,plain,
join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7705,refute_0_7708]) ).
cnf(refute_0_7710,plain,
converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_814:[bind(X0,$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(X_63,$fot(one)),bind(X_64,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7711,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7712,plain,
( join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7710,refute_0_7711]) ).
cnf(refute_0_7713,plain,
converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(converse(join(one,skolemFOFtoCNF_X0)),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7709,refute_0_7712]) ).
cnf(refute_0_7714,plain,
converse(join(join(X_597,X_598),X_6)) = converse(join(X_6,join(X_597,X_598))),
inference(subst,[],[refute_0_2660:[bind(X_7,$fot(join(X_597,X_598)))]]) ).
cnf(refute_0_7715,plain,
join(X_6,join(X_597,X_598)) = join(X_597,join(X_6,X_598)),
inference(subst,[],[refute_0_1275:[bind(X_63,$fot(X_6)),bind(X_64,$fot(X_597)),bind(X_65,$fot(X_598))]]) ).
cnf(refute_0_7716,plain,
( converse(join(join(X_597,X_598),X_6)) != converse(join(X_6,join(X_597,X_598)))
| join(X_6,join(X_597,X_598)) != join(X_597,join(X_6,X_598))
| converse(join(join(X_597,X_598),X_6)) = converse(join(X_597,join(X_6,X_598))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_597,X_598),X_6)),converse(join(X_6,join(X_597,X_598)))) ),[1,0],$fot(join(X_597,join(X_6,X_598)))]]) ).
cnf(refute_0_7717,plain,
( converse(join(join(X_597,X_598),X_6)) != converse(join(X_6,join(X_597,X_598)))
| converse(join(join(X_597,X_598),X_6)) = converse(join(X_597,join(X_6,X_598))) ),
inference(resolve,[$cnf( $equal(join(X_6,join(X_597,X_598)),join(X_597,join(X_6,X_598))) )],[refute_0_7715,refute_0_7716]) ).
cnf(refute_0_7718,plain,
converse(join(join(X_597,X_598),X_6)) = converse(join(X_597,join(X_6,X_598))),
inference(resolve,[$cnf( $equal(converse(join(join(X_597,X_598),X_6)),converse(join(X_6,join(X_597,X_598)))) )],[refute_0_7714,refute_0_7717]) ).
cnf(refute_0_7719,plain,
join(join(X_597,X_598),X_6) = join(X_597,join(X_598,X_6)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(X_597)),bind(X1,$fot(X_598)),bind(X2,$fot(X_6))]]) ).
cnf(refute_0_7720,plain,
converse(join(join(X_597,X_598),X_6)) = converse(join(join(X_597,X_598),X_6)),
introduced(tautology,[refl,[$fot(converse(join(join(X_597,X_598),X_6)))]]) ).
cnf(refute_0_7721,plain,
( converse(join(join(X_597,X_598),X_6)) != converse(join(join(X_597,X_598),X_6))
| join(join(X_597,X_598),X_6) != join(X_597,join(X_598,X_6))
| converse(join(join(X_597,X_598),X_6)) = converse(join(X_597,join(X_598,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_597,X_598),X_6)),converse(join(join(X_597,X_598),X_6))) ),[1,0],$fot(join(X_597,join(X_598,X_6)))]]) ).
cnf(refute_0_7722,plain,
( join(join(X_597,X_598),X_6) != join(X_597,join(X_598,X_6))
| converse(join(join(X_597,X_598),X_6)) = converse(join(X_597,join(X_598,X_6))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_597,X_598),X_6)),converse(join(join(X_597,X_598),X_6))) )],[refute_0_7720,refute_0_7721]) ).
cnf(refute_0_7723,plain,
converse(join(join(X_597,X_598),X_6)) = converse(join(X_597,join(X_598,X_6))),
inference(resolve,[$cnf( $equal(join(join(X_597,X_598),X_6),join(X_597,join(X_598,X_6))) )],[refute_0_7719,refute_0_7722]) ).
cnf(refute_0_7724,plain,
( converse(join(join(X_597,X_598),X_6)) != converse(join(X_597,join(X_598,X_6)))
| converse(join(join(X_597,X_598),X_6)) != converse(join(X_597,join(X_6,X_598)))
| converse(join(X_597,join(X_598,X_6))) = converse(join(X_597,join(X_6,X_598))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_597,X_598),X_6)),converse(join(X_597,join(X_6,X_598)))) ),[0],$fot(converse(join(X_597,join(X_598,X_6))))]]) ).
cnf(refute_0_7725,plain,
( converse(join(join(X_597,X_598),X_6)) != converse(join(X_597,join(X_6,X_598)))
| converse(join(X_597,join(X_598,X_6))) = converse(join(X_597,join(X_6,X_598))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_597,X_598),X_6)),converse(join(X_597,join(X_598,X_6)))) )],[refute_0_7723,refute_0_7724]) ).
cnf(refute_0_7726,plain,
converse(join(X_597,join(X_598,X_6))) = converse(join(X_597,join(X_6,X_598))),
inference(resolve,[$cnf( $equal(converse(join(join(X_597,X_598),X_6)),converse(join(X_597,join(X_6,X_598)))) )],[refute_0_7718,refute_0_7725]) ).
cnf(refute_0_7727,plain,
( converse(join(X_597,join(X_598,X_6))) != converse(join(X_597,join(X_6,X_598)))
| converse(join(X_597,join(X_6,X_598))) = converse(join(X_597,join(X_598,X_6))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X_597,join(X_598,X_6))))),bind(Y,$fot(converse(join(X_597,join(X_6,X_598)))))]]) ).
cnf(refute_0_7728,plain,
converse(join(X_597,join(X_6,X_598))) = converse(join(X_597,join(X_598,X_6))),
inference(resolve,[$cnf( $equal(converse(join(X_597,join(X_598,X_6))),converse(join(X_597,join(X_6,X_598)))) )],[refute_0_7726,refute_0_7727]) ).
cnf(refute_0_7729,plain,
converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_7728:[bind(X_597,$fot(one)),bind(X_598,$fot(skolemFOFtoCNF_X0)),bind(X_6,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7730,plain,
( converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))
| converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7731,plain,
( converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7729,refute_0_7730]) ).
cnf(refute_0_7732,plain,
converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(skolemFOFtoCNF_X0,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7713,refute_0_7731]) ).
cnf(refute_0_7733,plain,
join(X0,join(X1,X_101)) = join(X1,join(X0,X_101)),
inference(subst,[],[refute_0_1275:[bind(X_63,$fot(X0)),bind(X_64,$fot(X1)),bind(X_65,$fot(X_101))]]) ).
cnf(refute_0_7734,plain,
( converse(join(X0,join(X1,X_101))) != converse(join(X_101,join(X0,X1)))
| join(X0,join(X1,X_101)) != join(X1,join(X0,X_101))
| converse(join(X1,join(X0,X_101))) = converse(join(X_101,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X1,X_101))),converse(join(X_101,join(X0,X1)))) ),[0,0],$fot(join(X1,join(X0,X_101)))]]) ).
cnf(refute_0_7735,plain,
( converse(join(X0,join(X1,X_101))) != converse(join(X_101,join(X0,X1)))
| converse(join(X1,join(X0,X_101))) = converse(join(X_101,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X_101)),join(X1,join(X0,X_101))) )],[refute_0_7733,refute_0_7734]) ).
cnf(refute_0_7736,plain,
converse(join(X1,join(X0,X_101))) = converse(join(X_101,join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X1,X_101))),converse(join(X_101,join(X0,X1)))) )],[refute_0_3357,refute_0_7735]) ).
cnf(refute_0_7737,plain,
( converse(join(X1,join(X0,X_101))) != converse(join(X_101,join(X0,X1)))
| converse(join(X_101,join(X0,X1))) = converse(join(X1,join(X0,X_101))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X1,join(X0,X_101))))),bind(Y,$fot(converse(join(X_101,join(X0,X1)))))]]) ).
cnf(refute_0_7738,plain,
converse(join(X_101,join(X0,X1))) = converse(join(X1,join(X0,X_101))),
inference(resolve,[$cnf( $equal(converse(join(X1,join(X0,X_101))),converse(join(X_101,join(X0,X1)))) )],[refute_0_7736,refute_0_7737]) ).
cnf(refute_0_7739,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) = converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_7738:[bind(X0,$fot(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),bind(X1,$fot(one)),bind(X_101,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7740,plain,
( converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) != converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))))),bind(Y,$fot(converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))))),bind(Z,$fot(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7741,plain,
( converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))),converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0)))) )],[refute_0_7739,refute_0_7740]) ).
cnf(refute_0_7742,plain,
converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) = join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),skolemFOFtoCNF_X0))),join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7732,refute_0_7741]) ).
cnf(refute_0_7743,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) != converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) != join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))),converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[0],$fot(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7744,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) != converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))),join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7742,refute_0_7743]) ).
cnf(refute_0_7745,plain,
join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7746,plain,
( converse(one) != one
| join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7747,plain,
( converse(one) != one
| join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7745,refute_0_7746]) ).
cnf(refute_0_7748,plain,
join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_7747]) ).
cnf(refute_0_7749,plain,
( join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7750,plain,
( join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7748,refute_0_7749]) ).
cnf(refute_0_7751,plain,
join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7701,refute_0_7750]) ).
cnf(refute_0_7752,plain,
converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_425:[bind(X0,$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(X_6,$fot(one))]]) ).
cnf(refute_0_7753,plain,
( converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7754,plain,
( join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7752,refute_0_7753]) ).
cnf(refute_0_7755,plain,
converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(one),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7751,refute_0_7754]) ).
cnf(refute_0_7756,plain,
( converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1],$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7757,plain,
( join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7755,refute_0_7756]) ).
cnf(refute_0_7758,plain,
( converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))) != converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7744,refute_0_7757]) ).
cnf(refute_0_7759,plain,
join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(skolemFOFtoCNF_X0,join(converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),one))),converse(join(one,converse(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7688,refute_0_7758]) ).
cnf(refute_0_7760,plain,
( join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7761,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7759,refute_0_7760]) ).
cnf(refute_0_7762,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(join(converse(skolemFOFtoCNF_X0),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7547,refute_0_7761]) ).
cnf(refute_0_7763,plain,
complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_303:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7764,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7765,plain,
( meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_7763,refute_0_7764]) ).
cnf(refute_0_7766,plain,
meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_7762,refute_0_7765]) ).
cnf(refute_0_7767,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) ),[0,1],$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7768,plain,
( join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(converse(skolemFOFtoCNF_X0))
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_7766,refute_0_7767]) ).
cnf(refute_0_7769,plain,
join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),meet(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_7546,refute_0_7768]) ).
cnf(refute_0_7770,plain,
( composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != zero
| join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != complement(converse(skolemFOFtoCNF_X0))
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),zero) ),[0,1,0,0,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7771,plain,
( composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) != zero
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_7769,refute_0_7770]) ).
cnf(refute_0_7772,plain,
composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),zero) )],[refute_0_7532,refute_0_7771]) ).
cnf(refute_0_7773,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7774,plain,
composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_685:[bind(X_108,$fot(complement(one))),bind(X_110,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7775,plain,
composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero,
inference(subst,[],[refute_0_3794:[bind(X_101,$fot(complement(one))),bind(X_102,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7776,plain,
join(complement(one),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(complement(one))),bind(X_139,$fot(meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7777,plain,
join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_366:[bind(X0,$fot(one)),bind(X1,$fot(meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7778,plain,
composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(X_55,$fot(complement(one)))]]) ).
cnf(refute_0_7779,plain,
complement(one) = join(complement(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(one)),bind(X_32,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7780,plain,
top = join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_5956:[bind(X0,$fot(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7781,plain,
join(one,join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7782,plain,
top = join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5956:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_7783,plain,
( top != join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7784,plain,
join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7782,refute_0_7783]) ).
cnf(refute_0_7785,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != top
| join(one,top) = join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_7786,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,top) = join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_7784,refute_0_7785]) ).
cnf(refute_0_7787,plain,
join(one,top) = join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7781,refute_0_7786]) ).
cnf(refute_0_7788,plain,
( join(one,top) != join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,top) != top
| top = join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,top),join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_7789,plain,
( join(one,top) != join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| top = join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_7788]) ).
cnf(refute_0_7790,plain,
join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7791,plain,
( join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| top != join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| top = converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7792,plain,
( top != join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| top = converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7790,refute_0_7791]) ).
cnf(refute_0_7793,plain,
( join(one,top) != join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| top = converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(top,join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7789,refute_0_7792]) ).
cnf(refute_0_7794,plain,
top = converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,top),join(one,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7787,refute_0_7793]) ).
cnf(refute_0_7795,plain,
( top != converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7796,plain,
converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = top,
inference(resolve,[$cnf( $equal(top,converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7794,refute_0_7795]) ).
cnf(refute_0_7797,plain,
( converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != top
| top != join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| top = join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_7798,plain,
( top != join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| top = join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) )],[refute_0_7796,refute_0_7797]) ).
cnf(refute_0_7799,plain,
top = join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))),
inference(resolve,[$cnf( $equal(top,join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(converse(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_7780,refute_0_7798]) ).
cnf(refute_0_7800,plain,
join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7801,plain,
join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7802,plain,
( converse(composition(top,complement(top))) != zero
| join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7803,plain,
( converse(composition(top,complement(top))) != zero
| join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7801,refute_0_7802]) ).
cnf(refute_0_7804,plain,
join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(top))),zero) )],[refute_0_6069,refute_0_7803]) ).
cnf(refute_0_7805,plain,
( join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7806,plain,
( join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7804,refute_0_7805]) ).
cnf(refute_0_7807,plain,
join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(zero,composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7800,refute_0_7806]) ).
cnf(refute_0_7808,plain,
join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7809,plain,
( join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7810,plain,
( join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7808,refute_0_7809]) ).
cnf(refute_0_7811,plain,
join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7807,refute_0_7810]) ).
cnf(refute_0_7812,plain,
join(one,join(composition(top,complement(converse(skolemFOFtoCNF_X0))),converse(composition(top,complement(top))))) = join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(one)),bind(X_64,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(X_65,$fot(converse(composition(top,complement(top)))))]]) ).
cnf(refute_0_7813,plain,
join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) = join(one,join(composition(top,complement(converse(skolemFOFtoCNF_X0))),converse(composition(top,complement(top))))),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(X2,$fot(converse(composition(top,complement(top)))))]]) ).
cnf(refute_0_7814,plain,
( join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) != join(one,join(composition(top,complement(converse(skolemFOFtoCNF_X0))),converse(composition(top,complement(top)))))
| join(one,join(composition(top,complement(converse(skolemFOFtoCNF_X0))),converse(composition(top,complement(top))))) != join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) = join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))))),bind(Y,$fot(join(one,join(composition(top,complement(converse(skolemFOFtoCNF_X0))),converse(composition(top,complement(top))))))),bind(Z,$fot(join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7815,plain,
( join(one,join(composition(top,complement(converse(skolemFOFtoCNF_X0))),converse(composition(top,complement(top))))) != join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) = join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))),join(one,join(composition(top,complement(converse(skolemFOFtoCNF_X0))),converse(composition(top,complement(top)))))) )],[refute_0_7813,refute_0_7814]) ).
cnf(refute_0_7816,plain,
join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) = join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,join(composition(top,complement(converse(skolemFOFtoCNF_X0))),converse(composition(top,complement(top))))),join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7812,refute_0_7815]) ).
cnf(refute_0_7817,plain,
( join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) != join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))))),bind(Y,$fot(join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7818,plain,
( join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))),join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7816,refute_0_7817]) ).
cnf(refute_0_7819,plain,
join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(converse(composition(top,complement(top))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7811,refute_0_7818]) ).
cnf(refute_0_7820,plain,
( join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))) != join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| top != join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))
| top = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))) ),[1],$fot(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7821,plain,
( top != join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))
| top = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top)))),join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7819,refute_0_7820]) ).
cnf(refute_0_7822,plain,
top = join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(top,join(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),converse(composition(top,complement(top))))) )],[refute_0_7799,refute_0_7821]) ).
cnf(refute_0_7823,plain,
( top != join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7824,plain,
join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7822,refute_0_7823]) ).
cnf(refute_0_7825,plain,
( complement(one) != join(complement(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != top
| complement(one) = join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$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_7826,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( $equal(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),top) )],[refute_0_7824,refute_0_7825]) ).
cnf(refute_0_7827,plain,
complement(one) = join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(join(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7779,refute_0_7826]) ).
cnf(refute_0_7828,plain,
join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7829,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,[$fot(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7830,plain,
( complement(top) != zero
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$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_7831,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( $equal(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7829,refute_0_7830]) ).
cnf(refute_0_7832,plain,
join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_7831]) ).
cnf(refute_0_7833,plain,
( join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_7834,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( $equal(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7832,refute_0_7833]) ).
cnf(refute_0_7835,plain,
join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7828,refute_0_7834]) ).
cnf(refute_0_7836,plain,
( complement(one) != join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| complement(one) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$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_7837,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( $equal(join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7835,refute_0_7836]) ).
cnf(refute_0_7838,plain,
complement(one) = meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(one),join(complement(top),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7827,refute_0_7837]) ).
cnf(refute_0_7839,plain,
( complement(one) != meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = complement(one) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7840,plain,
meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7838,refute_0_7839]) ).
cnf(refute_0_7841,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != complement(one)
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_7842,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),complement(one)) )],[refute_0_7840,refute_0_7841]) ).
cnf(refute_0_7843,plain,
composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(meet(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7778,refute_0_7842]) ).
cnf(refute_0_7844,plain,
meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7845,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_7846,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7844,refute_0_7845]) ).
cnf(refute_0_7847,plain,
meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_3236,refute_0_7846]) ).
cnf(refute_0_7848,plain,
join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7849,plain,
( join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7850,plain,
( meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7848,refute_0_7849]) ).
cnf(refute_0_7851,plain,
join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7847,refute_0_7850]) ).
cnf(refute_0_7852,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7853,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7851,refute_0_7852]) ).
cnf(refute_0_7854,plain,
composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(complement(complement(one)),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7843,refute_0_7853]) ).
cnf(refute_0_7855,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7856,plain,
join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7854,refute_0_7855]) ).
cnf(refute_0_7857,plain,
( join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1,1],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7858,plain,
( join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7856,refute_0_7857]) ).
cnf(refute_0_7859,plain,
join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7777,refute_0_7858]) ).
cnf(refute_0_7860,plain,
( join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7861,plain,
( join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7856,refute_0_7860]) ).
cnf(refute_0_7862,plain,
meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(X_25,$fot(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7863,plain,
join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7864,plain,
( join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7865,plain,
( meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7863,refute_0_7864]) ).
cnf(refute_0_7866,plain,
join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7862,refute_0_7865]) ).
cnf(refute_0_7867,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7868,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7866,refute_0_7867]) ).
cnf(refute_0_7869,plain,
( join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7861,refute_0_7868]) ).
cnf(refute_0_7870,plain,
composition(top,complement(converse(skolemFOFtoCNF_X0))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),join(complement(one),meet(meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7859,refute_0_7869]) ).
cnf(refute_0_7871,plain,
( composition(top,complement(converse(skolemFOFtoCNF_X0))) != join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_7872,plain,
join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(skolemFOFtoCNF_X0))),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7870,refute_0_7871]) ).
cnf(refute_0_7873,plain,
( join(complement(one),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0,1],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7874,plain,
( join(complement(one),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7872,refute_0_7873]) ).
cnf(refute_0_7875,plain,
join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7776,refute_0_7874]) ).
cnf(refute_0_7876,plain,
( join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7877,plain,
( join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7872,refute_0_7876]) ).
cnf(refute_0_7878,plain,
join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),join(complement(one),meet(composition(top,complement(converse(skolemFOFtoCNF_X0))),meet(one,meet(one,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7875,refute_0_7877]) ).
cnf(refute_0_7879,plain,
( composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) ),[0,1,0,0,1],$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7880,plain,
( composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7878,refute_0_7879]) ).
cnf(refute_0_7881,plain,
composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,join(complement(one),composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_7775,refute_0_7880]) ).
cnf(refute_0_7882,plain,
composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1042:[bind(X2,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7883,plain,
converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7884,plain,
( composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(converse(skolemFOFtoCNF_X0)))
| converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$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_7885,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( $equal(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7883,refute_0_7884]) ).
cnf(refute_0_7886,plain,
converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(top,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_7882,refute_0_7885]) ).
cnf(refute_0_7887,plain,
complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7888,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_7889,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( $equal(complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7887,refute_0_7888]) ).
cnf(refute_0_7890,plain,
complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7886,refute_0_7889]) ).
cnf(refute_0_7891,plain,
composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7892,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_7893,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( $equal(composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7891,refute_0_7892]) ).
cnf(refute_0_7894,plain,
composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7890,refute_0_7893]) ).
cnf(refute_0_7895,plain,
composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = join(composition(X_108,complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top)))),
inference(subst,[],[refute_0_452:[bind(X0,$fot(X_108)),bind(X1,$fot(X_109)),bind(X2,$fot(complement(composition(converse(X_108),top))))]]) ).
cnf(refute_0_7896,plain,
composition(X_108,complement(composition(converse(X_108),top))) = zero,
inference(subst,[],[refute_0_469:[bind(X_81,$fot(X_108))]]) ).
cnf(refute_0_7897,plain,
( composition(X_108,complement(composition(converse(X_108),top))) != zero
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != join(composition(X_108,complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top))))
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = join(zero,composition(X_109,complement(composition(converse(X_108),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),join(composition(X_108,complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_7898,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != join(composition(X_108,complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top))))
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = join(zero,composition(X_109,complement(composition(converse(X_108),top)))) ),
inference(resolve,[$cnf( $equal(composition(X_108,complement(composition(converse(X_108),top))),zero) )],[refute_0_7896,refute_0_7897]) ).
cnf(refute_0_7899,plain,
composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = join(zero,composition(X_109,complement(composition(converse(X_108),top)))),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),join(composition(X_108,complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top))))) )],[refute_0_7895,refute_0_7898]) ).
cnf(refute_0_7900,plain,
join(zero,composition(X_109,complement(composition(converse(X_108),top)))) = composition(X_109,complement(composition(converse(X_108),top))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(composition(X_109,complement(composition(converse(X_108),top)))))]]) ).
cnf(refute_0_7901,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != join(zero,composition(X_109,complement(composition(converse(X_108),top))))
| join(zero,composition(X_109,complement(composition(converse(X_108),top)))) != composition(X_109,complement(composition(converse(X_108),top)))
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = composition(X_109,complement(composition(converse(X_108),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top)))) ),[0],$fot(join(zero,composition(X_109,complement(composition(converse(X_108),top)))))]]) ).
cnf(refute_0_7902,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != join(zero,composition(X_109,complement(composition(converse(X_108),top))))
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = composition(X_109,complement(composition(converse(X_108),top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X_109,complement(composition(converse(X_108),top)))),composition(X_109,complement(composition(converse(X_108),top)))) )],[refute_0_7900,refute_0_7901]) ).
cnf(refute_0_7903,plain,
composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = composition(X_109,complement(composition(converse(X_108),top))),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),join(zero,composition(X_109,complement(composition(converse(X_108),top))))) )],[refute_0_7899,refute_0_7902]) ).
cnf(refute_0_7904,plain,
composition(converse(X_108),top) = converse(composition(top,X_108)),
inference(subst,[],[refute_0_980:[bind(X_14,$fot(X_108))]]) ).
cnf(refute_0_7905,plain,
complement(composition(converse(X_108),top)) = complement(composition(converse(X_108),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X_108),top)))]]) ).
cnf(refute_0_7906,plain,
( complement(composition(converse(X_108),top)) != complement(composition(converse(X_108),top))
| composition(converse(X_108),top) != converse(composition(top,X_108))
| complement(composition(converse(X_108),top)) = complement(converse(composition(top,X_108))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X_108),top)),complement(composition(converse(X_108),top))) ),[1,0],$fot(converse(composition(top,X_108)))]]) ).
cnf(refute_0_7907,plain,
( composition(converse(X_108),top) != converse(composition(top,X_108))
| complement(composition(converse(X_108),top)) = complement(converse(composition(top,X_108))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_108),top)),complement(composition(converse(X_108),top))) )],[refute_0_7905,refute_0_7906]) ).
cnf(refute_0_7908,plain,
complement(composition(converse(X_108),top)) = complement(converse(composition(top,X_108))),
inference(resolve,[$cnf( $equal(composition(converse(X_108),top),converse(composition(top,X_108))) )],[refute_0_7904,refute_0_7907]) ).
cnf(refute_0_7909,plain,
composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = composition(join(X_108,X_109),complement(composition(converse(X_108),top))),
introduced(tautology,[refl,[$fot(composition(join(X_108,X_109),complement(composition(converse(X_108),top))))]]) ).
cnf(refute_0_7910,plain,
( complement(composition(converse(X_108),top)) != complement(converse(composition(top,X_108)))
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != composition(join(X_108,X_109),complement(composition(converse(X_108),top)))
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),composition(join(X_108,X_109),complement(composition(converse(X_108),top)))) ),[1,1],$fot(complement(converse(composition(top,X_108))))]]) ).
cnf(refute_0_7911,plain,
( complement(composition(converse(X_108),top)) != complement(converse(composition(top,X_108)))
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),composition(join(X_108,X_109),complement(composition(converse(X_108),top)))) )],[refute_0_7909,refute_0_7910]) ).
cnf(refute_0_7912,plain,
composition(join(X_108,X_109),complement(composition(converse(X_108),top))) = composition(join(X_108,X_109),complement(converse(composition(top,X_108)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_108),top)),complement(converse(composition(top,X_108)))) )],[refute_0_7908,refute_0_7911]) ).
cnf(refute_0_7913,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != composition(X_109,complement(composition(converse(X_108),top)))
| composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != composition(join(X_108,X_109),complement(converse(composition(top,X_108))))
| composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) = composition(X_109,complement(composition(converse(X_108),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top)))) ),[0],$fot(composition(join(X_108,X_109),complement(converse(composition(top,X_108)))))]]) ).
cnf(refute_0_7914,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != composition(X_109,complement(composition(converse(X_108),top)))
| composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) = composition(X_109,complement(composition(converse(X_108),top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),composition(join(X_108,X_109),complement(converse(composition(top,X_108))))) )],[refute_0_7912,refute_0_7913]) ).
cnf(refute_0_7915,plain,
composition(X_109,complement(composition(converse(X_108),top))) = composition(X_109,complement(composition(converse(X_108),top))),
introduced(tautology,[refl,[$fot(composition(X_109,complement(composition(converse(X_108),top))))]]) ).
cnf(refute_0_7916,plain,
( complement(composition(converse(X_108),top)) != complement(converse(composition(top,X_108)))
| composition(X_109,complement(composition(converse(X_108),top))) != composition(X_109,complement(composition(converse(X_108),top)))
| composition(X_109,complement(composition(converse(X_108),top))) = composition(X_109,complement(converse(composition(top,X_108)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_109,complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top)))) ),[1,1],$fot(complement(converse(composition(top,X_108))))]]) ).
cnf(refute_0_7917,plain,
( complement(composition(converse(X_108),top)) != complement(converse(composition(top,X_108)))
| composition(X_109,complement(composition(converse(X_108),top))) = composition(X_109,complement(converse(composition(top,X_108)))) ),
inference(resolve,[$cnf( $equal(composition(X_109,complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top)))) )],[refute_0_7915,refute_0_7916]) ).
cnf(refute_0_7918,plain,
composition(X_109,complement(composition(converse(X_108),top))) = composition(X_109,complement(converse(composition(top,X_108)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_108),top)),complement(converse(composition(top,X_108)))) )],[refute_0_7908,refute_0_7917]) ).
cnf(refute_0_7919,plain,
( composition(X_109,complement(composition(converse(X_108),top))) != composition(X_109,complement(converse(composition(top,X_108))))
| composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) != composition(X_109,complement(composition(converse(X_108),top)))
| composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) = composition(X_109,complement(converse(composition(top,X_108)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,X_109),complement(converse(composition(top,X_108)))),composition(X_109,complement(composition(converse(X_108),top)))) ),[1],$fot(composition(X_109,complement(converse(composition(top,X_108)))))]]) ).
cnf(refute_0_7920,plain,
( composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) != composition(X_109,complement(composition(converse(X_108),top)))
| composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) = composition(X_109,complement(converse(composition(top,X_108)))) ),
inference(resolve,[$cnf( $equal(composition(X_109,complement(composition(converse(X_108),top))),composition(X_109,complement(converse(composition(top,X_108))))) )],[refute_0_7918,refute_0_7919]) ).
cnf(refute_0_7921,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_108),top))) != composition(X_109,complement(composition(converse(X_108),top)))
| composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) = composition(X_109,complement(converse(composition(top,X_108)))) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(converse(composition(top,X_108)))),composition(X_109,complement(composition(converse(X_108),top)))) )],[refute_0_7914,refute_0_7920]) ).
cnf(refute_0_7922,plain,
composition(join(X_108,X_109),complement(converse(composition(top,X_108)))) = composition(X_109,complement(converse(composition(top,X_108)))),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_108),top))),composition(X_109,complement(composition(converse(X_108),top)))) )],[refute_0_7903,refute_0_7921]) ).
cnf(refute_0_7923,plain,
composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_7922:[bind(X_108,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0))))),bind(X_109,$fot(complement(one)))]]) ).
cnf(refute_0_7924,plain,
( composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7925,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))))))
| composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),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( $equal(composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7923,refute_0_7924]) ).
cnf(refute_0_7926,plain,
composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7894,refute_0_7925]) ).
cnf(refute_0_7927,plain,
( composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != zero
| composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),zero) ),[0],$fot(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7928,plain,
( composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != zero
| composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7926,refute_0_7927]) ).
cnf(refute_0_7929,plain,
composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(composition(top,complement(converse(skolemFOFtoCNF_X0))),complement(one)),complement(converse(composition(top,composition(top,complement(converse(skolemFOFtoCNF_X0))))))),zero) )],[refute_0_7881,refute_0_7928]) ).
cnf(refute_0_7930,plain,
( composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != zero
| composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_7931,plain,
( composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) ),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_7929,refute_0_7930]) ).
cnf(refute_0_7932,plain,
composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7774,refute_0_7931]) ).
cnf(refute_0_7933,plain,
composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7934,plain,
( composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(one,complement(one)) != top
| composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_7935,plain,
( join(one,complement(one)) != top
| composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7933,refute_0_7934]) ).
cnf(refute_0_7936,plain,
composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,complement(one)),top) )],[refute_0_748,refute_0_7935]) ).
cnf(refute_0_7937,plain,
composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1493:[bind(X_108,$fot(complement(one))),bind(X_138,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7938,plain,
( composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7939,plain,
( composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7937,refute_0_7938]) ).
cnf(refute_0_7940,plain,
composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(one,complement(one)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7936,refute_0_7939]) ).
cnf(refute_0_7941,plain,
( composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero)
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero)) ),[0],$fot(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7942,plain,
( composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero)
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7940,refute_0_7941]) ).
cnf(refute_0_7943,plain,
join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7944,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero)
| join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero) != 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( ~ $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero))]]) ).
cnf(refute_0_7945,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(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))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7943,refute_0_7944]) ).
cnf(refute_0_7946,plain,
( composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero)
| composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero)) )],[refute_0_7942,refute_0_7945]) ).
cnf(refute_0_7947,plain,
composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(complement(one),one),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),join(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),zero)) )],[refute_0_7932,refute_0_7946]) ).
cnf(refute_0_7948,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$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_7949,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( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7947,refute_0_7948]) ).
cnf(refute_0_7950,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7773,refute_0_7949]) ).
cnf(refute_0_7951,plain,
composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top) = composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_954:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X2,$fot(top))]]) ).
cnf(refute_0_7952,plain,
converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) = converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_7953,plain,
( composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top) != composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) != converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top))
| converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
introduced(tautology,[equality,[$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_7954,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( $equal(converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_7952,refute_0_7953]) ).
cnf(refute_0_7955,plain,
converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top),composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) )],[refute_0_7951,refute_0_7954]) ).
cnf(refute_0_7956,plain,
composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),
inference(subst,[],[refute_0_1015:[bind(X_13,$fot(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_7957,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,$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))))]]) ).
cnf(refute_0_7958,plain,
( converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top))) )],[refute_0_7956,refute_0_7957]) ).
cnf(refute_0_7959,plain,
composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(converse(skolemFOFtoCNF_X0))),top)),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_7955,refute_0_7958]) ).
cnf(refute_0_7960,plain,
complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_303:[bind(X0,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7961,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,[$fot(composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7962,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$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_7963,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( $equal(composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7961,refute_0_7962]) ).
cnf(refute_0_7964,plain,
composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7960,refute_0_7963]) ).
cnf(refute_0_7965,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7966,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_7967,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( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7965,refute_0_7966]) ).
cnf(refute_0_7968,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_1350,refute_0_7967]) ).
cnf(refute_0_7969,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_7970,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( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7968,refute_0_7969]) ).
cnf(refute_0_7971,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7964,refute_0_7970]) ).
cnf(refute_0_7972,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_7973,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( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7971,refute_0_7972]) ).
cnf(refute_0_7974,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_7959,refute_0_7973]) ).
cnf(refute_0_7975,plain,
composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_1493:[bind(X_108,$fot(converse(top))),bind(X_138,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7976,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(converse(top))),bind(X_110,$fot(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7977,plain,
( composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_7978,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( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7976,refute_0_7977]) ).
cnf(refute_0_7979,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7975,refute_0_7978]) ).
cnf(refute_0_7980,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$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_7981,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( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_7979,refute_0_7980]) ).
cnf(refute_0_7982,plain,
join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_7974,refute_0_7981]) ).
cnf(refute_0_7983,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$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_7984,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( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_7982,refute_0_7983]) ).
cnf(refute_0_7985,plain,
( complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$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_7986,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( $equal(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7960,refute_0_7985]) ).
cnf(refute_0_7987,plain,
( join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7984,refute_0_7986]) ).
cnf(refute_0_7988,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(top),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),complement(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_7950,refute_0_7987]) ).
cnf(refute_0_7989,plain,
converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_7990,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_55:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7991,plain,
composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_685:[bind(X_108,$fot(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(X_110,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_7992,plain,
composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) = zero,
inference(subst,[],[refute_0_3794:[bind(X_101,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_102,$fot(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7993,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_7,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7994,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(complement(skolemFOFtoCNF_X0))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_7995,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6347,refute_0_7994]) ).
cnf(refute_0_7996,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = converse(converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_7993,refute_0_7995]) ).
cnf(refute_0_7997,plain,
join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_7998,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_425:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_6,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_7999,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))
| join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8000,plain,
( join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_7998,refute_0_7999]) ).
cnf(refute_0_8001,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_7997,refute_0_8000]) ).
cnf(refute_0_8002,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(converse(complement(skolemFOFtoCNF_X0)))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(converse(complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8003,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(converse(complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8001,refute_0_8002]) ).
cnf(refute_0_8004,plain,
converse(converse(complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_59:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8005,plain,
( converse(converse(complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(converse(complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(converse(complement(skolemFOFtoCNF_X0)))) ),[1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8006,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(converse(complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_8004,refute_0_8005]) ).
cnf(refute_0_8007,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))) != converse(converse(complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_8003,refute_0_8006]) ).
cnf(refute_0_8008,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(meet(one,complement(skolemFOFtoCNF_X0))))),converse(converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_7996,refute_0_8007]) ).
cnf(refute_0_8009,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) != zero
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != complement(skolemFOFtoCNF_X0)
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))),zero) ),[0,1,0,0,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8010,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))) != zero
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) )],[refute_0_8008,refute_0_8009]) ).
cnf(refute_0_8011,plain,
composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))))),zero) )],[refute_0_7992,refute_0_8010]) ).
cnf(refute_0_8012,plain,
composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_452:[bind(X1,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X2,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8013,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))) = zero,
inference(subst,[],[refute_0_3794:[bind(X_101,$fot(complement(skolemFOFtoCNF_X0))),bind(X_102,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8014,plain,
join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_3900:[bind(X2,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8015,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1844:[bind(X0,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8016,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))) != meet(one,complement(skolemFOFtoCNF_X0))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) ),[0,1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8017,plain,
( join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_8015,refute_0_8016]) ).
cnf(refute_0_8018,plain,
join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(one,complement(skolemFOFtoCNF_X0)),meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8014,refute_0_8017]) ).
cnf(refute_0_8019,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8020,plain,
( join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))) != join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_3301,refute_0_8019]) ).
cnf(refute_0_8021,plain,
complement(skolemFOFtoCNF_X0) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8018,refute_0_8020]) ).
cnf(refute_0_8022,plain,
( complement(skolemFOFtoCNF_X0) != join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))
| join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8023,plain,
join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8021,refute_0_8022]) ).
cnf(refute_0_8024,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))) != zero
| join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))) != complement(skolemFOFtoCNF_X0)
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))),zero) ),[0,1,0,0,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8025,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))) != zero
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))),complement(skolemFOFtoCNF_X0)) )],[refute_0_8023,refute_0_8024]) ).
cnf(refute_0_8026,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,join(complement(skolemFOFtoCNF_X0),meet(one,complement(skolemFOFtoCNF_X0))))))),zero) )],[refute_0_8013,refute_0_8025]) ).
cnf(refute_0_8027,plain,
composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = join(composition(X_108,complement(composition(converse(X_109),top))),composition(X_109,complement(composition(converse(X_109),top)))),
inference(subst,[],[refute_0_452:[bind(X0,$fot(X_108)),bind(X1,$fot(X_109)),bind(X2,$fot(complement(composition(converse(X_109),top))))]]) ).
cnf(refute_0_8028,plain,
composition(X_109,complement(composition(converse(X_109),top))) = zero,
inference(subst,[],[refute_0_469:[bind(X_81,$fot(X_109))]]) ).
cnf(refute_0_8029,plain,
( composition(X_109,complement(composition(converse(X_109),top))) != zero
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != join(composition(X_108,complement(composition(converse(X_109),top))),composition(X_109,complement(composition(converse(X_109),top))))
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = join(composition(X_108,complement(composition(converse(X_109),top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),join(composition(X_108,complement(composition(converse(X_109),top))),composition(X_109,complement(composition(converse(X_109),top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8030,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != join(composition(X_108,complement(composition(converse(X_109),top))),composition(X_109,complement(composition(converse(X_109),top))))
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = join(composition(X_108,complement(composition(converse(X_109),top))),zero) ),
inference(resolve,[$cnf( $equal(composition(X_109,complement(composition(converse(X_109),top))),zero) )],[refute_0_8028,refute_0_8029]) ).
cnf(refute_0_8031,plain,
composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = join(composition(X_108,complement(composition(converse(X_109),top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),join(composition(X_108,complement(composition(converse(X_109),top))),composition(X_109,complement(composition(converse(X_109),top))))) )],[refute_0_8027,refute_0_8030]) ).
cnf(refute_0_8032,plain,
join(composition(X_108,complement(composition(converse(X_109),top))),zero) = composition(X_108,complement(composition(converse(X_109),top))),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(composition(X_108,complement(composition(converse(X_109),top)))))]]) ).
cnf(refute_0_8033,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != join(composition(X_108,complement(composition(converse(X_109),top))),zero)
| join(composition(X_108,complement(composition(converse(X_109),top))),zero) != composition(X_108,complement(composition(converse(X_109),top)))
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = composition(X_108,complement(composition(converse(X_109),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),composition(X_108,complement(composition(converse(X_109),top)))) ),[0],$fot(join(composition(X_108,complement(composition(converse(X_109),top))),zero))]]) ).
cnf(refute_0_8034,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != join(composition(X_108,complement(composition(converse(X_109),top))),zero)
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = composition(X_108,complement(composition(converse(X_109),top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,complement(composition(converse(X_109),top))),zero),composition(X_108,complement(composition(converse(X_109),top)))) )],[refute_0_8032,refute_0_8033]) ).
cnf(refute_0_8035,plain,
composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = composition(X_108,complement(composition(converse(X_109),top))),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),join(composition(X_108,complement(composition(converse(X_109),top))),zero)) )],[refute_0_8031,refute_0_8034]) ).
cnf(refute_0_8036,plain,
composition(converse(X_109),top) = converse(composition(top,X_109)),
inference(subst,[],[refute_0_980:[bind(X_14,$fot(X_109))]]) ).
cnf(refute_0_8037,plain,
complement(composition(converse(X_109),top)) = complement(composition(converse(X_109),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X_109),top)))]]) ).
cnf(refute_0_8038,plain,
( complement(composition(converse(X_109),top)) != complement(composition(converse(X_109),top))
| composition(converse(X_109),top) != converse(composition(top,X_109))
| complement(composition(converse(X_109),top)) = complement(converse(composition(top,X_109))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X_109),top)),complement(composition(converse(X_109),top))) ),[1,0],$fot(converse(composition(top,X_109)))]]) ).
cnf(refute_0_8039,plain,
( composition(converse(X_109),top) != converse(composition(top,X_109))
| complement(composition(converse(X_109),top)) = complement(converse(composition(top,X_109))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_109),top)),complement(composition(converse(X_109),top))) )],[refute_0_8037,refute_0_8038]) ).
cnf(refute_0_8040,plain,
complement(composition(converse(X_109),top)) = complement(converse(composition(top,X_109))),
inference(resolve,[$cnf( $equal(composition(converse(X_109),top),converse(composition(top,X_109))) )],[refute_0_8036,refute_0_8039]) ).
cnf(refute_0_8041,plain,
composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = composition(join(X_108,X_109),complement(composition(converse(X_109),top))),
introduced(tautology,[refl,[$fot(composition(join(X_108,X_109),complement(composition(converse(X_109),top))))]]) ).
cnf(refute_0_8042,plain,
( complement(composition(converse(X_109),top)) != complement(converse(composition(top,X_109)))
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != composition(join(X_108,X_109),complement(composition(converse(X_109),top)))
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),composition(join(X_108,X_109),complement(composition(converse(X_109),top)))) ),[1,1],$fot(complement(converse(composition(top,X_109))))]]) ).
cnf(refute_0_8043,plain,
( complement(composition(converse(X_109),top)) != complement(converse(composition(top,X_109)))
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),composition(join(X_108,X_109),complement(composition(converse(X_109),top)))) )],[refute_0_8041,refute_0_8042]) ).
cnf(refute_0_8044,plain,
composition(join(X_108,X_109),complement(composition(converse(X_109),top))) = composition(join(X_108,X_109),complement(converse(composition(top,X_109)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_109),top)),complement(converse(composition(top,X_109)))) )],[refute_0_8040,refute_0_8043]) ).
cnf(refute_0_8045,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != composition(X_108,complement(composition(converse(X_109),top)))
| composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != composition(join(X_108,X_109),complement(converse(composition(top,X_109))))
| composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) = composition(X_108,complement(composition(converse(X_109),top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),composition(X_108,complement(composition(converse(X_109),top)))) ),[0],$fot(composition(join(X_108,X_109),complement(converse(composition(top,X_109)))))]]) ).
cnf(refute_0_8046,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != composition(X_108,complement(composition(converse(X_109),top)))
| composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) = composition(X_108,complement(composition(converse(X_109),top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),composition(join(X_108,X_109),complement(converse(composition(top,X_109))))) )],[refute_0_8044,refute_0_8045]) ).
cnf(refute_0_8047,plain,
composition(X_108,complement(composition(converse(X_109),top))) = composition(X_108,complement(composition(converse(X_109),top))),
introduced(tautology,[refl,[$fot(composition(X_108,complement(composition(converse(X_109),top))))]]) ).
cnf(refute_0_8048,plain,
( complement(composition(converse(X_109),top)) != complement(converse(composition(top,X_109)))
| composition(X_108,complement(composition(converse(X_109),top))) != composition(X_108,complement(composition(converse(X_109),top)))
| composition(X_108,complement(composition(converse(X_109),top))) = composition(X_108,complement(converse(composition(top,X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_108,complement(composition(converse(X_109),top))),composition(X_108,complement(composition(converse(X_109),top)))) ),[1,1],$fot(complement(converse(composition(top,X_109))))]]) ).
cnf(refute_0_8049,plain,
( complement(composition(converse(X_109),top)) != complement(converse(composition(top,X_109)))
| composition(X_108,complement(composition(converse(X_109),top))) = composition(X_108,complement(converse(composition(top,X_109)))) ),
inference(resolve,[$cnf( $equal(composition(X_108,complement(composition(converse(X_109),top))),composition(X_108,complement(composition(converse(X_109),top)))) )],[refute_0_8047,refute_0_8048]) ).
cnf(refute_0_8050,plain,
composition(X_108,complement(composition(converse(X_109),top))) = composition(X_108,complement(converse(composition(top,X_109)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_109),top)),complement(converse(composition(top,X_109)))) )],[refute_0_8040,refute_0_8049]) ).
cnf(refute_0_8051,plain,
( composition(X_108,complement(composition(converse(X_109),top))) != composition(X_108,complement(converse(composition(top,X_109))))
| composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) != composition(X_108,complement(composition(converse(X_109),top)))
| composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) = composition(X_108,complement(converse(composition(top,X_109)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,X_109),complement(converse(composition(top,X_109)))),composition(X_108,complement(composition(converse(X_109),top)))) ),[1],$fot(composition(X_108,complement(converse(composition(top,X_109)))))]]) ).
cnf(refute_0_8052,plain,
( composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) != composition(X_108,complement(composition(converse(X_109),top)))
| composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) = composition(X_108,complement(converse(composition(top,X_109)))) ),
inference(resolve,[$cnf( $equal(composition(X_108,complement(composition(converse(X_109),top))),composition(X_108,complement(converse(composition(top,X_109))))) )],[refute_0_8050,refute_0_8051]) ).
cnf(refute_0_8053,plain,
( composition(join(X_108,X_109),complement(composition(converse(X_109),top))) != composition(X_108,complement(composition(converse(X_109),top)))
| composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) = composition(X_108,complement(converse(composition(top,X_109)))) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(converse(composition(top,X_109)))),composition(X_108,complement(composition(converse(X_109),top)))) )],[refute_0_8046,refute_0_8052]) ).
cnf(refute_0_8054,plain,
composition(join(X_108,X_109),complement(converse(composition(top,X_109)))) = composition(X_108,complement(converse(composition(top,X_109)))),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),complement(composition(converse(X_109),top))),composition(X_108,complement(composition(converse(X_109),top)))) )],[refute_0_8035,refute_0_8053]) ).
cnf(refute_0_8055,plain,
composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_8054:[bind(X_108,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_109,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8056,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) ),[0],$fot(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8057,plain,
( composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8055,refute_0_8056]) ).
cnf(refute_0_8058,plain,
composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(meet(one,complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8026,refute_0_8057]) ).
cnf(refute_0_8059,plain,
( composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8060,plain,
( composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) ),
inference(resolve,[$cnf( $equal(composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8058,refute_0_8059]) ).
cnf(refute_0_8061,plain,
composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero),
inference(resolve,[$cnf( $equal(composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(meet(one,complement(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8012,refute_0_8060]) ).
cnf(refute_0_8062,plain,
join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) = composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8063,plain,
( composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero)
| join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) != composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero))]]) ).
cnf(refute_0_8064,plain,
( composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero)
| composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero),composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8062,refute_0_8063]) ).
cnf(refute_0_8065,plain,
composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(X0,meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),join(composition(X0,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero)) )],[refute_0_8061,refute_0_8064]) ).
cnf(refute_0_8066,plain,
composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_8065:[bind(X0,$fot(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8067,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) ),[0],$fot(composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8068,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8066,refute_0_8067]) ).
cnf(refute_0_8069,plain,
composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),meet(one,complement(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8011,refute_0_8068]) ).
cnf(refute_0_8070,plain,
( composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8071,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8069,refute_0_8070]) ).
cnf(refute_0_8072,plain,
composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_7991,refute_0_8071]) ).
cnf(refute_0_8073,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(converse(meet(one,complement(skolemFOFtoCNF_X0))))),bind(X_64,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8074,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))) != converse(complement(skolemFOFtoCNF_X0))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) ),[1,0,1],$fot(converse(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8075,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),converse(complement(skolemFOFtoCNF_X0))) )],[refute_0_6347,refute_0_8074]) ).
cnf(refute_0_8076,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_8073,refute_0_8075]) ).
cnf(refute_0_8077,plain,
join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8078,plain,
join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_4582:[bind(X2,$fot(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8079,plain,
( join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8080,plain,
( join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8078,refute_0_8079]) ).
cnf(refute_0_8081,plain,
join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8077,refute_0_8080]) ).
cnf(refute_0_8082,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_2632:[bind(X_180,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_181,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8083,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))))),bind(Y,$fot(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8084,plain,
( join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_8082,refute_0_8083]) ).
cnf(refute_0_8085,plain,
join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(one,join(meet(one,complement(skolemFOFtoCNF_X0)),converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8081,refute_0_8084]) ).
cnf(refute_0_8086,plain,
converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(one)),bind(X_180,$fot(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),bind(X_181,$fot(meet(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8087,plain,
( converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one)))
| join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Y,$fot(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))))),bind(Z,$fot(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8088,plain,
( join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one)))) )],[refute_0_8086,refute_0_8087]) ).
cnf(refute_0_8089,plain,
converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(meet(one,complement(skolemFOFtoCNF_X0)),converse(join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8085,refute_0_8088]) ).
cnf(refute_0_8090,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))
| converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))))),bind(Y,$fot(converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))),bind(Z,$fot(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8091,plain,
( converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_8073,refute_0_8090]) ).
cnf(refute_0_8092,plain,
converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) = converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(meet(one,complement(skolemFOFtoCNF_X0))),meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8089,refute_0_8091]) ).
cnf(refute_0_8093,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,converse(complement(skolemFOFtoCNF_X0))))
| converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),converse(join(one,converse(complement(skolemFOFtoCNF_X0))))) ),[0],$fot(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8094,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,converse(complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8092,refute_0_8093]) ).
cnf(refute_0_8095,plain,
converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(X0,converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8096,plain,
converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_796:[bind(X_63,$fot(converse(skolemFOFtoCNF_X0))),bind(X_64,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8097,plain,
converse(skolemFOFtoCNF_X0) = join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(converse(skolemFOFtoCNF_X0))),bind(X_55,$fot(one))]]) ).
cnf(refute_0_8098,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0)))
| meet(one,converse(skolemFOFtoCNF_X0)) != converse(skolemFOFtoCNF_X0)
| converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8099,plain,
( converse(skolemFOFtoCNF_X0) != join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0)))
| converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(skolemFOFtoCNF_X0)),converse(skolemFOFtoCNF_X0)) )],[refute_0_4113,refute_0_8098]) ).
cnf(refute_0_8100,plain,
converse(skolemFOFtoCNF_X0) = join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(meet(one,converse(skolemFOFtoCNF_X0)),meet(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_8097,refute_0_8099]) ).
cnf(refute_0_8101,plain,
( converse(skolemFOFtoCNF_X0) != join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))
| join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(skolemFOFtoCNF_X0))),bind(Y,$fot(join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8102,plain,
join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))) = converse(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(converse(skolemFOFtoCNF_X0),join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_8100,refute_0_8101]) ).
cnf(refute_0_8103,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))))
| join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))) != converse(skolemFOFtoCNF_X0)
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))))) ),[1,0,1],$fot(converse(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8104,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))))
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))),converse(skolemFOFtoCNF_X0)) )],[refute_0_8102,refute_0_8103]) ).
cnf(refute_0_8105,plain,
converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8096,refute_0_8104]) ).
cnf(refute_0_8106,plain,
join(one,converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_666:[bind(X_7,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8107,plain,
join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(one,converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_2584:[bind(X_65,$fot(converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8108,plain,
( join(one,converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))) != join(one,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))
| join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(one,converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8109,plain,
( join(one,converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))),join(one,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_8107,refute_0_8108]) ).
cnf(refute_0_8110,plain,
join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))),converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_8106,refute_0_8109]) ).
cnf(refute_0_8111,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_2632:[bind(X_180,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0)))),bind(X_181,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8112,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))))),bind(Y,$fot(join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8113,plain,
( join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8111,refute_0_8112]) ).
cnf(refute_0_8114,plain,
join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(one,join(skolemFOFtoCNF_X0,converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))),converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_8110,refute_0_8113]) ).
cnf(refute_0_8115,plain,
converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(one)),bind(X_180,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0)))),bind(X_181,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8116,plain,
( converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one)))
| join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))))),bind(Z,$fot(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8117,plain,
( join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one)))) )],[refute_0_8115,refute_0_8116]) ).
cnf(refute_0_8118,plain,
converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_8114,refute_0_8117]) ).
cnf(refute_0_8119,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))))
| converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))))),bind(Y,$fot(converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8120,plain,
( converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8096,refute_0_8119]) ).
cnf(refute_0_8121,plain,
converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) = converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(one,join(converse(skolemFOFtoCNF_X0),meet(complement(one),converse(skolemFOFtoCNF_X0))))),converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_8118,refute_0_8120]) ).
cnf(refute_0_8122,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,converse(skolemFOFtoCNF_X0)))
| converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))
| converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) = converse(join(one,converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),converse(join(one,converse(skolemFOFtoCNF_X0)))) ),[0],$fot(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8123,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,converse(skolemFOFtoCNF_X0)))
| converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) = converse(join(one,converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) )],[refute_0_8121,refute_0_8122]) ).
cnf(refute_0_8124,plain,
join(skolemFOFtoCNF_X0,converse(one)) = join(skolemFOFtoCNF_X0,converse(one)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,converse(one)))]]) ).
cnf(refute_0_8125,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0,converse(one)) != join(skolemFOFtoCNF_X0,converse(one))
| join(skolemFOFtoCNF_X0,converse(one)) = join(skolemFOFtoCNF_X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(one)),join(skolemFOFtoCNF_X0,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_8126,plain,
( converse(one) != one
| join(skolemFOFtoCNF_X0,converse(one)) = join(skolemFOFtoCNF_X0,one) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(one)),join(skolemFOFtoCNF_X0,converse(one))) )],[refute_0_8124,refute_0_8125]) ).
cnf(refute_0_8127,plain,
join(skolemFOFtoCNF_X0,converse(one)) = join(skolemFOFtoCNF_X0,one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_8126]) ).
cnf(refute_0_8128,plain,
( join(skolemFOFtoCNF_X0,converse(one)) != join(skolemFOFtoCNF_X0,one)
| join(skolemFOFtoCNF_X0,one) != one
| join(skolemFOFtoCNF_X0,converse(one)) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,converse(one)))),bind(Y,$fot(join(skolemFOFtoCNF_X0,one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_8129,plain,
( join(skolemFOFtoCNF_X0,one) != one
| join(skolemFOFtoCNF_X0,converse(one)) = one ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(one)),join(skolemFOFtoCNF_X0,one)) )],[refute_0_8127,refute_0_8128]) ).
cnf(refute_0_8130,plain,
join(skolemFOFtoCNF_X0,converse(one)) = one,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,one),one) )],[refute_0_901,refute_0_8129]) ).
cnf(refute_0_8131,plain,
join(converse(one),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,converse(one)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(converse(one)))]]) ).
cnf(refute_0_8132,plain,
converse(join(one,converse(skolemFOFtoCNF_X0))) = join(converse(one),skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_425:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_6,$fot(one))]]) ).
cnf(refute_0_8133,plain,
( converse(join(one,converse(skolemFOFtoCNF_X0))) != join(converse(one),skolemFOFtoCNF_X0)
| join(converse(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(one))
| converse(join(one,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(converse(one),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,converse(one))))]]) ).
cnf(refute_0_8134,plain,
( join(converse(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,converse(one))
| converse(join(one,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(skolemFOFtoCNF_X0))),join(converse(one),skolemFOFtoCNF_X0)) )],[refute_0_8132,refute_0_8133]) ).
cnf(refute_0_8135,plain,
converse(join(one,converse(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,converse(one)),
inference(resolve,[$cnf( $equal(join(converse(one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,converse(one))) )],[refute_0_8131,refute_0_8134]) ).
cnf(refute_0_8136,plain,
( converse(join(one,converse(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,converse(one))
| join(skolemFOFtoCNF_X0,converse(one)) != one
| converse(join(one,converse(skolemFOFtoCNF_X0))) = one ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,converse(one)))),bind(Z,$fot(one))]]) ).
cnf(refute_0_8137,plain,
( join(skolemFOFtoCNF_X0,converse(one)) != one
| converse(join(one,converse(skolemFOFtoCNF_X0))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,converse(one))) )],[refute_0_8135,refute_0_8136]) ).
cnf(refute_0_8138,plain,
converse(join(one,converse(skolemFOFtoCNF_X0))) = one,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,converse(one)),one) )],[refute_0_8130,refute_0_8137]) ).
cnf(refute_0_8139,plain,
( converse(join(one,converse(skolemFOFtoCNF_X0))) != one
| converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) != converse(join(one,converse(skolemFOFtoCNF_X0)))
| converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) = one ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),converse(join(one,converse(skolemFOFtoCNF_X0)))) ),[1],$fot(one)]]) ).
cnf(refute_0_8140,plain,
( converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) != converse(join(one,converse(skolemFOFtoCNF_X0)))
| converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(skolemFOFtoCNF_X0))),one) )],[refute_0_8138,refute_0_8139]) ).
cnf(refute_0_8141,plain,
( converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))) != converse(join(one,converse(skolemFOFtoCNF_X0)))
| converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),converse(join(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_8123,refute_0_8140]) ).
cnf(refute_0_8142,plain,
converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(converse(join(converse(skolemFOFtoCNF_X0),join(meet(complement(one),converse(skolemFOFtoCNF_X0)),one))),converse(join(one,converse(skolemFOFtoCNF_X0)))) )],[refute_0_8105,refute_0_8141]) ).
cnf(refute_0_8143,plain,
( converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) != join(X0,converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))))
| converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))) != one
| converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))),join(X0,converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_8144,plain,
( converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) != join(X0,converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))))
| converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(X0,one) ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),one) )],[refute_0_8142,refute_0_8143]) ).
cnf(refute_0_8145,plain,
converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(X0,one),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))),join(X0,converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8095,refute_0_8144]) ).
cnf(refute_0_8146,plain,
join(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),X0) = join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),
inference(subst,[],[refute_0_806:[bind(X_65,$fot(X0)),bind(X_7,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8147,plain,
converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))) = join(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),X0),
inference(subst,[],[refute_0_814:[bind(X_63,$fot(one)),bind(X_64,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8148,plain,
( converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))) != join(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),X0)
| join(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),X0) != join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))
| converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))) = join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))))),bind(Y,$fot(join(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),X0))),bind(Z,$fot(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))))]]) ).
cnf(refute_0_8149,plain,
( join(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),X0) != join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))
| converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))) = join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))),join(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),X0)) )],[refute_0_8147,refute_0_8148]) ).
cnf(refute_0_8150,plain,
converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))) = join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),
inference(resolve,[$cnf( $equal(join(converse(join(one,meet(complement(one),converse(skolemFOFtoCNF_X0)))),X0),join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))) )],[refute_0_8146,refute_0_8149]) ).
cnf(refute_0_8151,plain,
converse(join(X_179,join(converse(converse(X0)),X_180))) = join(converse(X_179),join(converse(X0),converse(X_180))),
inference(subst,[],[refute_0_776:[bind(X_6,$fot(X_179)),bind(X_8,$fot(X_180)),bind(X_9,$fot(converse(X0)))]]) ).
cnf(refute_0_8152,plain,
converse(join(X0,X_180)) = join(converse(X0),converse(X_180)),
inference(subst,[],[refute_0_409:[bind(X1,$fot(X_180))]]) ).
cnf(refute_0_8153,plain,
( converse(join(X0,X_180)) != join(converse(X0),converse(X_180))
| join(converse(X0),converse(X_180)) = converse(join(X0,X_180)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,X_180)))),bind(Y,$fot(join(converse(X0),converse(X_180))))]]) ).
cnf(refute_0_8154,plain,
join(converse(X0),converse(X_180)) = converse(join(X0,X_180)),
inference(resolve,[$cnf( $equal(converse(join(X0,X_180)),join(converse(X0),converse(X_180))) )],[refute_0_8152,refute_0_8153]) ).
cnf(refute_0_8155,plain,
( converse(join(X_179,join(converse(converse(X0)),X_180))) != join(converse(X_179),join(converse(X0),converse(X_180)))
| join(converse(X0),converse(X_180)) != converse(join(X0,X_180))
| converse(join(X_179,join(converse(converse(X0)),X_180))) = join(converse(X_179),converse(join(X0,X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_179,join(converse(converse(X0)),X_180))),join(converse(X_179),join(converse(X0),converse(X_180)))) ),[1,1],$fot(converse(join(X0,X_180)))]]) ).
cnf(refute_0_8156,plain,
( converse(join(X_179,join(converse(converse(X0)),X_180))) != join(converse(X_179),join(converse(X0),converse(X_180)))
| converse(join(X_179,join(converse(converse(X0)),X_180))) = join(converse(X_179),converse(join(X0,X_180))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X_180)),converse(join(X0,X_180))) )],[refute_0_8154,refute_0_8155]) ).
cnf(refute_0_8157,plain,
converse(join(X_179,join(converse(converse(X0)),X_180))) = join(converse(X_179),converse(join(X0,X_180))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(converse(X0)),X_180))),join(converse(X_179),join(converse(X0),converse(X_180)))) )],[refute_0_8151,refute_0_8156]) ).
cnf(refute_0_8158,plain,
join(converse(X0),converse(join(X_180,X_179))) = converse(join(X0,join(X_180,X_179))),
inference(subst,[],[refute_0_430:[bind(X1,$fot(join(X_180,X_179)))]]) ).
cnf(refute_0_8159,plain,
converse(join(X_179,join(converse(converse(X0)),X_180))) = join(converse(X0),converse(join(X_180,X_179))),
inference(subst,[],[refute_0_841:[bind(X_181,$fot(converse(X0)))]]) ).
cnf(refute_0_8160,plain,
( converse(join(X_179,join(converse(converse(X0)),X_180))) != join(converse(X0),converse(join(X_180,X_179)))
| join(converse(X0),converse(join(X_180,X_179))) != converse(join(X0,join(X_180,X_179)))
| converse(join(X_179,join(converse(converse(X0)),X_180))) = converse(join(X0,join(X_180,X_179))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(X_179,join(converse(converse(X0)),X_180))))),bind(Y,$fot(join(converse(X0),converse(join(X_180,X_179))))),bind(Z,$fot(converse(join(X0,join(X_180,X_179)))))]]) ).
cnf(refute_0_8161,plain,
( join(converse(X0),converse(join(X_180,X_179))) != converse(join(X0,join(X_180,X_179)))
| converse(join(X_179,join(converse(converse(X0)),X_180))) = converse(join(X0,join(X_180,X_179))) ),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(converse(X0)),X_180))),join(converse(X0),converse(join(X_180,X_179)))) )],[refute_0_8159,refute_0_8160]) ).
cnf(refute_0_8162,plain,
converse(join(X_179,join(converse(converse(X0)),X_180))) = converse(join(X0,join(X_180,X_179))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_180,X_179))),converse(join(X0,join(X_180,X_179)))) )],[refute_0_8158,refute_0_8161]) ).
cnf(refute_0_8163,plain,
( converse(join(X_179,join(converse(converse(X0)),X_180))) != converse(join(X0,join(X_180,X_179)))
| converse(join(X_179,join(converse(converse(X0)),X_180))) != join(converse(X_179),converse(join(X0,X_180)))
| converse(join(X0,join(X_180,X_179))) = join(converse(X_179),converse(join(X0,X_180))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_179,join(converse(converse(X0)),X_180))),join(converse(X_179),converse(join(X0,X_180)))) ),[0],$fot(converse(join(X0,join(X_180,X_179))))]]) ).
cnf(refute_0_8164,plain,
( converse(join(X_179,join(converse(converse(X0)),X_180))) != join(converse(X_179),converse(join(X0,X_180)))
| converse(join(X0,join(X_180,X_179))) = join(converse(X_179),converse(join(X0,X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(converse(X0)),X_180))),converse(join(X0,join(X_180,X_179)))) )],[refute_0_8162,refute_0_8163]) ).
cnf(refute_0_8165,plain,
join(converse(X_179),converse(join(X0,X_180))) = converse(join(X_179,join(X0,X_180))),
inference(subst,[],[refute_0_430:[bind(X0,$fot(X_179)),bind(X1,$fot(join(X0,X_180)))]]) ).
cnf(refute_0_8166,plain,
( converse(join(X0,join(X_180,X_179))) != join(converse(X_179),converse(join(X0,X_180)))
| join(converse(X_179),converse(join(X0,X_180))) != converse(join(X_179,join(X0,X_180)))
| converse(join(X0,join(X_180,X_179))) = converse(join(X_179,join(X0,X_180))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_180,X_179))),converse(join(X_179,join(X0,X_180)))) ),[0],$fot(join(converse(X_179),converse(join(X0,X_180))))]]) ).
cnf(refute_0_8167,plain,
( converse(join(X0,join(X_180,X_179))) != join(converse(X_179),converse(join(X0,X_180)))
| converse(join(X0,join(X_180,X_179))) = converse(join(X_179,join(X0,X_180))) ),
inference(resolve,[$cnf( $equal(join(converse(X_179),converse(join(X0,X_180))),converse(join(X_179,join(X0,X_180)))) )],[refute_0_8165,refute_0_8166]) ).
cnf(refute_0_8168,plain,
( converse(join(X_179,join(converse(converse(X0)),X_180))) != join(converse(X_179),converse(join(X0,X_180)))
| converse(join(X0,join(X_180,X_179))) = converse(join(X_179,join(X0,X_180))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_180,X_179))),join(converse(X_179),converse(join(X0,X_180)))) )],[refute_0_8164,refute_0_8167]) ).
cnf(refute_0_8169,plain,
converse(join(X0,join(X_180,X_179))) = converse(join(X_179,join(X0,X_180))),
inference(resolve,[$cnf( $equal(converse(join(X_179,join(converse(converse(X0)),X_180))),join(converse(X_179),converse(join(X0,X_180)))) )],[refute_0_8157,refute_0_8168]) ).
cnf(refute_0_8170,plain,
( converse(join(X0,join(X_180,X_179))) != converse(join(X_179,join(X0,X_180)))
| converse(join(X_179,join(X0,X_180))) = converse(join(X0,join(X_180,X_179))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(X0,join(X_180,X_179))))),bind(Y,$fot(converse(join(X_179,join(X0,X_180)))))]]) ).
cnf(refute_0_8171,plain,
converse(join(X_179,join(X0,X_180))) = converse(join(X0,join(X_180,X_179))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_180,X_179))),converse(join(X_179,join(X0,X_180)))) )],[refute_0_8169,refute_0_8170]) ).
cnf(refute_0_8172,plain,
converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) = converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))),
inference(subst,[],[refute_0_8171:[bind(X0,$fot(one)),bind(X_179,$fot(converse(X0))),bind(X_180,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8173,plain,
( converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) != converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0))))
| converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))) != join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))
| converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))))),bind(Z,$fot(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))))]]) ).
cnf(refute_0_8174,plain,
( converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))) != join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))
| converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))),converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0))))) )],[refute_0_8172,refute_0_8173]) ).
cnf(refute_0_8175,plain,
converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) = join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),
inference(resolve,[$cnf( $equal(converse(join(one,join(meet(complement(one),converse(skolemFOFtoCNF_X0)),converse(X0)))),join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))) )],[refute_0_8150,refute_0_8174]) ).
cnf(refute_0_8176,plain,
( converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) != join(X0,one)
| converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) != join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))
| join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))),join(X0,one)) ),[0],$fot(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)))]]) ).
cnf(refute_0_8177,plain,
( converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))) != join(X0,one)
| join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) = join(X0,one) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))),join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))) )],[refute_0_8175,refute_0_8176]) ).
cnf(refute_0_8178,plain,
join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) = join(X0,one),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(one,meet(complement(one),converse(skolemFOFtoCNF_X0))))),join(X0,one)) )],[refute_0_8145,refute_0_8177]) ).
cnf(refute_0_8179,plain,
complement(join(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_5005:[bind(X_7,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8180,plain,
( complement(join(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| complement(top) = meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_8181,plain,
( complement(join(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(top) = meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_3216,refute_0_8180]) ).
cnf(refute_0_8182,plain,
complement(top) = meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8179,refute_0_8181]) ).
cnf(refute_0_8183,plain,
( complement(top) != meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| complement(top) != zero
| zero = meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_8184,plain,
( complement(top) != meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| zero = meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8183]) ).
cnf(refute_0_8185,plain,
complement(join(one,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(one),converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1183:[bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X_27,$fot(one))]]) ).
cnf(refute_0_8186,plain,
meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) = complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_5014:[bind(X_7,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8187,plain,
( complement(join(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(one),converse(skolemFOFtoCNF_X0))
| meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) != complement(join(one,complement(converse(skolemFOFtoCNF_X0))))
| meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8188,plain,
( complement(join(one,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(one),converse(skolemFOFtoCNF_X0))
| meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8186,refute_0_8187]) ).
cnf(refute_0_8189,plain,
meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) = meet(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(join(one,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_8185,refute_0_8188]) ).
cnf(refute_0_8190,plain,
( meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))) != meet(complement(one),converse(skolemFOFtoCNF_X0))
| zero != meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| zero = meet(complement(one),converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) ),[1],$fot(meet(complement(one),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8191,plain,
( zero != meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| zero = meet(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_8189,refute_0_8190]) ).
cnf(refute_0_8192,plain,
( complement(top) != meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))
| zero = meet(complement(one),converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(zero,meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8184,refute_0_8191]) ).
cnf(refute_0_8193,plain,
zero = meet(complement(one),converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(top),meet(converse(complement(one)),complement(join(one,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8182,refute_0_8192]) ).
cnf(refute_0_8194,plain,
( zero != meet(complement(one),converse(skolemFOFtoCNF_X0))
| meet(complement(one),converse(skolemFOFtoCNF_X0)) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8195,plain,
meet(complement(one),converse(skolemFOFtoCNF_X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(one),converse(skolemFOFtoCNF_X0))) )],[refute_0_8193,refute_0_8194]) ).
cnf(refute_0_8196,plain,
converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) = converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8197,plain,
( converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) != converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))
| meet(complement(one),converse(skolemFOFtoCNF_X0)) != zero
| converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8198,plain,
( meet(complement(one),converse(skolemFOFtoCNF_X0)) != zero
| converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),converse(meet(complement(one),converse(skolemFOFtoCNF_X0)))) )],[refute_0_8196,refute_0_8197]) ).
cnf(refute_0_8199,plain,
converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) = converse(zero),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(skolemFOFtoCNF_X0)),zero) )],[refute_0_8195,refute_0_8198]) ).
cnf(refute_0_8200,plain,
( converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) != converse(zero)
| converse(zero) != zero
| converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8201,plain,
( converse(zero) != zero
| converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),converse(zero)) )],[refute_0_8199,refute_0_8200]) ).
cnf(refute_0_8202,plain,
converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_8201]) ).
cnf(refute_0_8203,plain,
join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) = join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0),
introduced(tautology,[refl,[$fot(join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))]]) ).
cnf(refute_0_8204,plain,
( converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) != zero
| join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) != join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)
| join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) = join(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0),join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8205,plain,
( converse(meet(complement(one),converse(skolemFOFtoCNF_X0))) != zero
| join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) = join(zero,X0) ),
inference(resolve,[$cnf( $equal(join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0),join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) )],[refute_0_8203,refute_0_8204]) ).
cnf(refute_0_8206,plain,
join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) = join(zero,X0),
inference(resolve,[$cnf( $equal(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),zero) )],[refute_0_8202,refute_0_8205]) ).
cnf(refute_0_8207,plain,
( join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) != join(zero,X0)
| join(zero,X0) != X0
| join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) = X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))),bind(Y,$fot(join(zero,X0))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_8208,plain,
( join(zero,X0) != X0
| join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) = X0 ),
inference(resolve,[$cnf( $equal(join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0),join(zero,X0)) )],[refute_0_8206,refute_0_8207]) ).
cnf(refute_0_8209,plain,
join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) = X0,
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_0_264,refute_0_8208]) ).
cnf(refute_0_8210,plain,
join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) = join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),
introduced(tautology,[refl,[$fot(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)))]]) ).
cnf(refute_0_8211,plain,
( join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) != X0
| join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) != join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))
| join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) = join(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_8212,plain,
( join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0) != X0
| join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0))) )],[refute_0_8210,refute_0_8211]) ).
cnf(refute_0_8213,plain,
join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) = join(one,X0),
inference(resolve,[$cnf( $equal(join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0),X0) )],[refute_0_8209,refute_0_8212]) ).
cnf(refute_0_8214,plain,
( join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) != join(X0,one)
| join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) != join(one,X0)
| join(one,X0) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),join(X0,one)) ),[0],$fot(join(one,X0))]]) ).
cnf(refute_0_8215,plain,
( join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)) != join(X0,one)
| join(one,X0) = join(X0,one) ),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),join(one,X0)) )],[refute_0_8213,refute_0_8214]) ).
cnf(refute_0_8216,plain,
join(one,X0) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,join(converse(meet(complement(one),converse(skolemFOFtoCNF_X0))),X0)),join(X0,one)) )],[refute_0_8178,refute_0_8215]) ).
cnf(refute_0_8217,plain,
( join(one,X0) != join(X0,one)
| join(X0,one) = join(one,X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,X0))),bind(Y,$fot(join(X0,one)))]]) ).
cnf(refute_0_8218,plain,
join(X0,one) = join(one,X0),
inference(resolve,[$cnf( $equal(join(one,X0),join(X0,one)) )],[refute_0_8216,refute_0_8217]) ).
cnf(refute_0_8219,plain,
join(complement(skolemFOFtoCNF_X0),one) = join(one,complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_8218:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8220,plain,
( join(complement(skolemFOFtoCNF_X0),one) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) != top
| join(complement(skolemFOFtoCNF_X0),one) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),one))),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_8221,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != top
| join(complement(skolemFOFtoCNF_X0),one) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),one),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_8219,refute_0_8220]) ).
cnf(refute_0_8222,plain,
join(complement(skolemFOFtoCNF_X0),one) = top,
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_3261,refute_0_8221]) ).
cnf(refute_0_8223,plain,
join(complement(skolemFOFtoCNF_X0),converse(one)) = join(complement(skolemFOFtoCNF_X0),converse(one)),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),converse(one)))]]) ).
cnf(refute_0_8224,plain,
( converse(one) != one
| join(complement(skolemFOFtoCNF_X0),converse(one)) != join(complement(skolemFOFtoCNF_X0),converse(one))
| join(complement(skolemFOFtoCNF_X0),converse(one)) = join(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(one)),join(complement(skolemFOFtoCNF_X0),converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_8225,plain,
( converse(one) != one
| join(complement(skolemFOFtoCNF_X0),converse(one)) = join(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(one)),join(complement(skolemFOFtoCNF_X0),converse(one))) )],[refute_0_8223,refute_0_8224]) ).
cnf(refute_0_8226,plain,
join(complement(skolemFOFtoCNF_X0),converse(one)) = join(complement(skolemFOFtoCNF_X0),one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_81,refute_0_8225]) ).
cnf(refute_0_8227,plain,
( join(complement(skolemFOFtoCNF_X0),converse(one)) != join(complement(skolemFOFtoCNF_X0),one)
| join(complement(skolemFOFtoCNF_X0),one) != top
| join(complement(skolemFOFtoCNF_X0),converse(one)) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(skolemFOFtoCNF_X0),converse(one)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),one))),bind(Z,$fot(top))]]) ).
cnf(refute_0_8228,plain,
( join(complement(skolemFOFtoCNF_X0),one) != top
| join(complement(skolemFOFtoCNF_X0),converse(one)) = top ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(one)),join(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_8226,refute_0_8227]) ).
cnf(refute_0_8229,plain,
join(complement(skolemFOFtoCNF_X0),converse(one)) = top,
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),one),top) )],[refute_0_8222,refute_0_8228]) ).
cnf(refute_0_8230,plain,
join(converse(one),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),converse(one)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(converse(one)))]]) ).
cnf(refute_0_8231,plain,
converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) = join(converse(one),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_425:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X_6,$fot(one))]]) ).
cnf(refute_0_8232,plain,
( converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) != join(converse(one),complement(skolemFOFtoCNF_X0))
| join(converse(one),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),converse(one))
| converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),converse(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(converse(one),complement(skolemFOFtoCNF_X0)))),bind(Z,$fot(join(complement(skolemFOFtoCNF_X0),converse(one))))]]) ).
cnf(refute_0_8233,plain,
( join(converse(one),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),converse(one))
| converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),converse(one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(complement(skolemFOFtoCNF_X0)))),join(converse(one),complement(skolemFOFtoCNF_X0))) )],[refute_0_8231,refute_0_8232]) ).
cnf(refute_0_8234,plain,
converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),converse(one)),
inference(resolve,[$cnf( $equal(join(converse(one),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),converse(one))) )],[refute_0_8230,refute_0_8233]) ).
cnf(refute_0_8235,plain,
( converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),converse(one))
| join(complement(skolemFOFtoCNF_X0),converse(one)) != top
| converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(one,converse(complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0),converse(one)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_8236,plain,
( join(complement(skolemFOFtoCNF_X0),converse(one)) != top
| converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(complement(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),converse(one))) )],[refute_0_8234,refute_0_8235]) ).
cnf(refute_0_8237,plain,
converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) = top,
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),converse(one)),top) )],[refute_0_8229,refute_0_8236]) ).
cnf(refute_0_8238,plain,
( converse(join(one,converse(complement(skolemFOFtoCNF_X0)))) != top
| converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,converse(complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,converse(complement(skolemFOFtoCNF_X0))))) ),[1],$fot(top)]]) ).
cnf(refute_0_8239,plain,
( converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,converse(complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(complement(skolemFOFtoCNF_X0)))),top) )],[refute_0_8237,refute_0_8238]) ).
cnf(refute_0_8240,plain,
( converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))) != converse(join(one,converse(complement(skolemFOFtoCNF_X0))))
| converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_8094,refute_0_8239]) ).
cnf(refute_0_8241,plain,
converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(meet(one,complement(skolemFOFtoCNF_X0))),join(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))),one))),converse(join(one,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_8076,refute_0_8240]) ).
cnf(refute_0_8242,plain,
( converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != top
| join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))
| join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_8243,plain,
( converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != top
| join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8077,refute_0_8242]) ).
cnf(refute_0_8244,plain,
join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) = top,
inference(resolve,[$cnf( $equal(converse(join(one,meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),top) )],[refute_0_8241,refute_0_8243]) ).
cnf(refute_0_8245,plain,
composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8246,plain,
( composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != top
| composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_8247,plain,
( join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))) != top
| composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8245,refute_0_8246]) ).
cnf(refute_0_8248,plain,
composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),top) )],[refute_0_8244,refute_0_8247]) ).
cnf(refute_0_8249,plain,
composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1493:[bind(X_108,$fot(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))))),bind(X_138,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8250,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(Z,$fot(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8251,plain,
( composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8249,refute_0_8250]) ).
cnf(refute_0_8252,plain,
composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0))))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8248,refute_0_8251]) ).
cnf(refute_0_8253,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero)
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero)) ),[0],$fot(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8254,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero)
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8252,refute_0_8253]) ).
cnf(refute_0_8255,plain,
join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8256,plain,
( composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero)
| join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero) != 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( ~ $equal(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero))]]) ).
cnf(refute_0_8257,plain,
( composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero)
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8255,refute_0_8256]) ).
cnf(refute_0_8258,plain,
( composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero)
| composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero)) )],[refute_0_8254,refute_0_8257]) ).
cnf(refute_0_8259,plain,
composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(join(converse(meet(converse(complement(skolemFOFtoCNF_X0)),complement(converse(meet(one,complement(skolemFOFtoCNF_X0)))))),one),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))),zero)) )],[refute_0_8072,refute_0_8258]) ).
cnf(refute_0_8260,plain,
( composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[0,1,1,0],$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8261,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(composition(top,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(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8259,refute_0_8260]) ).
cnf(refute_0_8262,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(composition(top,complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_7990,refute_0_8261]) ).
cnf(refute_0_8263,plain,
composition(composition(top,complement(skolemFOFtoCNF_X0)),top) = composition(top,composition(complement(skolemFOFtoCNF_X0),top)),
inference(subst,[],[refute_0_954:[bind(X0,$fot(top)),bind(X1,$fot(complement(skolemFOFtoCNF_X0))),bind(X2,$fot(top))]]) ).
cnf(refute_0_8264,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),
introduced(tautology,[refl,[$fot(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8265,plain,
( composition(composition(top,complement(skolemFOFtoCNF_X0)),top) != composition(top,composition(complement(skolemFOFtoCNF_X0),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
introduced(tautology,[equality,[$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_8266,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( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_8264,refute_0_8265]) ).
cnf(refute_0_8267,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(composition(top,complement(skolemFOFtoCNF_X0)),top),composition(top,composition(complement(skolemFOFtoCNF_X0),top))) )],[refute_0_8263,refute_0_8266]) ).
cnf(refute_0_8268,plain,
composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),
inference(subst,[],[refute_0_1015:[bind(X_13,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8269,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,$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_8270,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_8268,refute_0_8269]) ).
cnf(refute_0_8271,plain,
composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8267,refute_0_8270]) ).
cnf(refute_0_8272,plain,
complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_303:[bind(X0,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8273,plain,
composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8274,plain,
( complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8275,plain,
( complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8273,refute_0_8274]) ).
cnf(refute_0_8276,plain,
composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8272,refute_0_8275]) ).
cnf(refute_0_8277,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8278,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_8279,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8277,refute_0_8278]) ).
cnf(refute_0_8280,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_1350,refute_0_8279]) ).
cnf(refute_0_8281,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8282,plain,
( composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8280,refute_0_8281]) ).
cnf(refute_0_8283,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8276,refute_0_8282]) ).
cnf(refute_0_8284,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))),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_8285,plain,
( composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8283,refute_0_8284]) ).
cnf(refute_0_8286,plain,
composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8271,refute_0_8285]) ).
cnf(refute_0_8287,plain,
composition(join(converse(top),one),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1493:[bind(X_108,$fot(converse(top))),bind(X_138,$fot(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8288,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = composition(join(converse(top),one),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_699:[bind(X_108,$fot(converse(top))),bind(X_110,$fot(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8289,plain,
( composition(join(converse(top),one),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) != composition(join(converse(top),one),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(join(converse(top),one),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8290,plain,
( composition(join(converse(top),one),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),composition(join(converse(top),one),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8288,refute_0_8289]) ).
cnf(refute_0_8291,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8287,refute_0_8290]) ).
cnf(refute_0_8292,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) != composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))))]]) ).
cnf(refute_0_8293,plain,
( composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8291,refute_0_8292]) ).
cnf(refute_0_8294,plain,
join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) = converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8286,refute_0_8293]) ).
cnf(refute_0_8295,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[0],$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))]]) ).
cnf(refute_0_8296,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) = complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8294,refute_0_8295]) ).
cnf(refute_0_8297,plain,
( complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8298,plain,
( converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8272,refute_0_8297]) ).
cnf(refute_0_8299,plain,
( join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))) != complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8296,refute_0_8298]) ).
cnf(refute_0_8300,plain,
converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))),composition(converse(top),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0))))))),complement(complement(converse(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8262,refute_0_8299]) ).
cnf(refute_0_8301,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))
| converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)))),bind(Y,$fot(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))))),bind(Z,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8302,plain,
( converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top)))) )],[refute_0_8267,refute_0_8301]) ).
cnf(refute_0_8303,plain,
converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(skolemFOFtoCNF_X0),top))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8300,refute_0_8302]) ).
cnf(refute_0_8304,plain,
( composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))
| converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$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,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8305,plain,
( converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top))) )],[refute_0_8268,refute_0_8304]) ).
cnf(refute_0_8306,plain,
composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(composition(top,complement(skolemFOFtoCNF_X0)),top)),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8303,refute_0_8305]) ).
cnf(refute_0_8307,plain,
converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),top),
inference(subst,[],[refute_0_978:[bind(X_14,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8308,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),top)
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),top)) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8309,plain,
( converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),top)
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),top) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_7484,refute_0_8308]) ).
cnf(refute_0_8310,plain,
converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),top)) )],[refute_0_8307,refute_0_8309]) ).
cnf(refute_0_8311,plain,
( converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),top)
| composition(complement(converse(skolemFOFtoCNF_X0)),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8312,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),top) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),top)) )],[refute_0_8310,refute_0_8311]) ).
cnf(refute_0_8313,plain,
composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),
introduced(tautology,[refl,[$fot(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))]]) ).
cnf(refute_0_8314,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_8315,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( $equal(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) )],[refute_0_8313,refute_0_8314]) ).
cnf(refute_0_8316,plain,
composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),top),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8312,refute_0_8315]) ).
cnf(refute_0_8317,plain,
( composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) != composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$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,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8318,plain,
( composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8316,refute_0_8317]) ).
cnf(refute_0_8319,plain,
composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(top,converse(composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8306,refute_0_8318]) ).
cnf(refute_0_8320,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))))]]) ).
cnf(refute_0_8321,plain,
( composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| 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,complement(skolemFOFtoCNF_X0)))) ),
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,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8322,plain,
( composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)))) )],[refute_0_8320,refute_0_8321]) ).
cnf(refute_0_8323,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top)),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8319,refute_0_8322]) ).
cnf(refute_0_8324,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))
| converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))))),bind(Y,$fot(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8325,plain,
( converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(converse(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8323,refute_0_8324]) ).
cnf(refute_0_8326,plain,
converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_7989,refute_0_8325]) ).
cnf(refute_0_8327,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(top,complement(skolemFOFtoCNF_X0)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(composition(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8328,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(top,complement(skolemFOFtoCNF_X0)) = converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8326,refute_0_8327]) ).
cnf(refute_0_8329,plain,
composition(complement(skolemFOFtoCNF_X0),converse(top)) = composition(complement(skolemFOFtoCNF_X0),converse(top)),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),converse(top)))]]) ).
cnf(refute_0_8330,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(top)) != composition(complement(skolemFOFtoCNF_X0),converse(top))
| converse(top) != top
| composition(complement(skolemFOFtoCNF_X0),converse(top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(top)),composition(complement(skolemFOFtoCNF_X0),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8331,plain,
( converse(top) != top
| composition(complement(skolemFOFtoCNF_X0),converse(top)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(top)),composition(complement(skolemFOFtoCNF_X0),converse(top))) )],[refute_0_8329,refute_0_8330]) ).
cnf(refute_0_8332,plain,
composition(complement(skolemFOFtoCNF_X0),converse(top)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_8331]) ).
cnf(refute_0_8333,plain,
converse(composition(X_13,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(X_13)),
inference(subst,[],[refute_0_450:[bind(X0,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8334,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(composition(X_13,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(X_13))
| converse(composition(X_13,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_13,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),converse(X_13))) ),[0,0,1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8335,plain,
( converse(composition(X_13,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(X_13))
| converse(composition(X_13,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(X_13)) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_7484,refute_0_8334]) ).
cnf(refute_0_8336,plain,
converse(composition(X_13,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(X_13)),
inference(resolve,[$cnf( $equal(converse(composition(X_13,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),converse(X_13))) )],[refute_0_8333,refute_0_8335]) ).
cnf(refute_0_8337,plain,
converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),converse(top)),
inference(subst,[],[refute_0_8336:[bind(X_13,$fot(top))]]) ).
cnf(refute_0_8338,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(top)) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(top))
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),converse(top)))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8339,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(top)) != composition(complement(skolemFOFtoCNF_X0),top)
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),converse(top))) )],[refute_0_8337,refute_0_8338]) ).
cnf(refute_0_8340,plain,
converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8332,refute_0_8339]) ).
cnf(refute_0_8341,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(top,complement(skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) ),[0],$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8342,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(top,complement(skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8340,refute_0_8341]) ).
cnf(refute_0_8343,plain,
( converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))) != converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))
| composition(top,complement(skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0)),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8328,refute_0_8342]) ).
cnf(refute_0_8344,plain,
composition(top,complement(skolemFOFtoCNF_X0)) = composition(complement(skolemFOFtoCNF_X0),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(complement(converse(skolemFOFtoCNF_X0)),top))),converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7988,refute_0_8343]) ).
cnf(refute_0_8345,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(skolemFOFtoCNF_X0),top) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),top)))]]) ).
cnf(refute_0_8346,plain,
composition(complement(skolemFOFtoCNF_X0),top) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8344,refute_0_8345]) ).
cnf(refute_0_8347,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(top)) != composition(complement(skolemFOFtoCNF_X0),top)
| composition(complement(skolemFOFtoCNF_X0),top) != composition(top,complement(skolemFOFtoCNF_X0))
| composition(complement(skolemFOFtoCNF_X0),converse(top)) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(skolemFOFtoCNF_X0),converse(top)))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),top))),bind(Z,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8348,plain,
( composition(complement(skolemFOFtoCNF_X0),top) != composition(top,complement(skolemFOFtoCNF_X0))
| composition(complement(skolemFOFtoCNF_X0),converse(top)) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(top)),composition(complement(skolemFOFtoCNF_X0),top)) )],[refute_0_8332,refute_0_8347]) ).
cnf(refute_0_8349,plain,
composition(complement(skolemFOFtoCNF_X0),converse(top)) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),top),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8346,refute_0_8348]) ).
cnf(refute_0_8350,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(top)) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(top))
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),converse(top)))),bind(Z,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8351,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(top)) != composition(top,complement(skolemFOFtoCNF_X0))
| converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),converse(top))) )],[refute_0_8337,refute_0_8350]) ).
cnf(refute_0_8352,plain,
converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(top)),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8349,refute_0_8351]) ).
cnf(refute_0_8353,plain,
complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8354,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(top,complement(skolemFOFtoCNF_X0))
| complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
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(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8355,plain,
( converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))) != composition(top,complement(skolemFOFtoCNF_X0))
| complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8353,refute_0_8354]) ).
cnf(refute_0_8356,plain,
complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8352,refute_0_8355]) ).
cnf(refute_0_8357,plain,
composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8358,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8359,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8357,refute_0_8358]) ).
cnf(refute_0_8360,plain,
composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8356,refute_0_8359]) ).
cnf(refute_0_8361,plain,
composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8362,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8363,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8361,refute_0_8362]) ).
cnf(refute_0_8364,plain,
composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8360,refute_0_8363]) ).
cnf(refute_0_8365,plain,
composition(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_954:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(converse(skolemFOFtoCNF_X0))),bind(X2,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8366,plain,
composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_7922:[bind(X_108,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_109,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8367,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8368,plain,
( composition(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8366,refute_0_8367]) ).
cnf(refute_0_8369,plain,
composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8365,refute_0_8368]) ).
cnf(refute_0_8370,plain,
composition(join(converse(complement(composition(X_110,top))),join(X_595,X_593)),X_110) = composition(join(X_595,X_593),X_110),
inference(subst,[],[refute_0_1370:[bind(X_109,$fot(join(X_595,X_593)))]]) ).
cnf(refute_0_8371,plain,
join(X_593,join(converse(complement(composition(X_110,top))),X_595)) = join(converse(complement(composition(X_110,top))),join(X_595,X_593)),
inference(subst,[],[refute_0_2936:[bind(X0,$fot(X_593)),bind(X_63,$fot(converse(complement(composition(X_110,top))))),bind(X_64,$fot(X_595))]]) ).
cnf(refute_0_8372,plain,
( join(X_593,join(converse(complement(composition(X_110,top))),X_595)) != join(converse(complement(composition(X_110,top))),join(X_595,X_593))
| join(converse(complement(composition(X_110,top))),join(X_595,X_593)) = join(X_593,join(converse(complement(composition(X_110,top))),X_595)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X_593,join(converse(complement(composition(X_110,top))),X_595)))),bind(Y,$fot(join(converse(complement(composition(X_110,top))),join(X_595,X_593))))]]) ).
cnf(refute_0_8373,plain,
join(converse(complement(composition(X_110,top))),join(X_595,X_593)) = join(X_593,join(converse(complement(composition(X_110,top))),X_595)),
inference(resolve,[$cnf( $equal(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),join(converse(complement(composition(X_110,top))),join(X_595,X_593))) )],[refute_0_8371,refute_0_8372]) ).
cnf(refute_0_8374,plain,
( composition(join(converse(complement(composition(X_110,top))),join(X_595,X_593)),X_110) != composition(join(X_595,X_593),X_110)
| join(converse(complement(composition(X_110,top))),join(X_595,X_593)) != join(X_593,join(converse(complement(composition(X_110,top))),X_595))
| composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110) = composition(join(X_595,X_593),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_110,top))),join(X_595,X_593)),X_110),composition(join(X_595,X_593),X_110)) ),[0,0],$fot(join(X_593,join(converse(complement(composition(X_110,top))),X_595)))]]) ).
cnf(refute_0_8375,plain,
( composition(join(converse(complement(composition(X_110,top))),join(X_595,X_593)),X_110) != composition(join(X_595,X_593),X_110)
| composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110) = composition(join(X_595,X_593),X_110) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_110,top))),join(X_595,X_593)),join(X_593,join(converse(complement(composition(X_110,top))),X_595))) )],[refute_0_8373,refute_0_8374]) ).
cnf(refute_0_8376,plain,
composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110) = composition(join(X_595,X_593),X_110),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_110,top))),join(X_595,X_593)),X_110),composition(join(X_595,X_593),X_110)) )],[refute_0_8370,refute_0_8375]) ).
cnf(refute_0_8377,plain,
composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110) = composition(join(X_593,X_595),X_110),
inference(subst,[],[refute_0_1390:[bind(X1,$fot(X_595)),bind(X2,$fot(X_110)),bind(X_121,$fot(X_593))]]) ).
cnf(refute_0_8378,plain,
( composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110) != composition(join(X_593,X_595),X_110)
| composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110) != composition(join(X_595,X_593),X_110)
| composition(join(X_593,X_595),X_110) = composition(join(X_595,X_593),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110),composition(join(X_595,X_593),X_110)) ),[0],$fot(composition(join(X_593,X_595),X_110))]]) ).
cnf(refute_0_8379,plain,
( composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110) != composition(join(X_595,X_593),X_110)
| composition(join(X_593,X_595),X_110) = composition(join(X_595,X_593),X_110) ),
inference(resolve,[$cnf( $equal(composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110),composition(join(X_593,X_595),X_110)) )],[refute_0_8377,refute_0_8378]) ).
cnf(refute_0_8380,plain,
composition(join(X_593,X_595),X_110) = composition(join(X_595,X_593),X_110),
inference(resolve,[$cnf( $equal(composition(join(X_593,join(converse(complement(composition(X_110,top))),X_595)),X_110),composition(join(X_595,X_593),X_110)) )],[refute_0_8376,refute_0_8379]) ).
cnf(refute_0_8381,plain,
( composition(join(X_593,X_595),X_110) != composition(join(X_595,X_593),X_110)
| composition(join(X_595,X_593),X_110) = composition(join(X_593,X_595),X_110) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(join(X_593,X_595),X_110))),bind(Y,$fot(composition(join(X_595,X_593),X_110)))]]) ).
cnf(refute_0_8382,plain,
composition(join(X_595,X_593),X_110) = composition(join(X_593,X_595),X_110),
inference(resolve,[$cnf( $equal(composition(join(X_593,X_595),X_110),composition(join(X_595,X_593),X_110)) )],[refute_0_8380,refute_0_8381]) ).
cnf(refute_0_8383,plain,
composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_8382:[bind(X_110,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(X_593,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_595,$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8384,plain,
( composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8385,plain,
( composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8383,refute_0_8384]) ).
cnf(refute_0_8386,plain,
composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(composition(join(complement(converse(skolemFOFtoCNF_X0)),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8369,refute_0_8385]) ).
cnf(refute_0_8387,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),bind(Z,$fot(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8388,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8386,refute_0_8387]) ).
cnf(refute_0_8389,plain,
composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8364,refute_0_8388]) ).
cnf(refute_0_8390,plain,
( composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != zero
| composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),zero) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8391,plain,
( composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != zero
| composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8389,refute_0_8390]) ).
cnf(refute_0_8392,plain,
composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(composition(join(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_7772,refute_0_8391]) ).
cnf(refute_0_8393,plain,
converse(composition(join(converse(X0),X_7),X_14)) = composition(converse(X_14),converse(join(converse(X0),X_7))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(join(converse(X0),X_7))),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_8394,plain,
( converse(composition(join(converse(X0),X_7),X_14)) != composition(converse(X_14),converse(join(converse(X0),X_7)))
| converse(join(converse(X0),X_7)) != join(X0,converse(X_7))
| converse(composition(join(converse(X0),X_7),X_14)) = composition(converse(X_14),join(X0,converse(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X0),X_7),X_14)),composition(converse(X_14),converse(join(converse(X0),X_7)))) ),[1,1],$fot(join(X0,converse(X_7)))]]) ).
cnf(refute_0_8395,plain,
( converse(composition(join(converse(X0),X_7),X_14)) != composition(converse(X_14),converse(join(converse(X0),X_7)))
| converse(composition(join(converse(X0),X_7),X_14)) = composition(converse(X_14),join(X0,converse(X_7))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_7)),join(X0,converse(X_7))) )],[refute_0_413,refute_0_8394]) ).
cnf(refute_0_8396,plain,
converse(composition(join(converse(X0),X_7),X_14)) = composition(converse(X_14),join(X0,converse(X_7))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X0),X_7),X_14)),composition(converse(X_14),converse(join(converse(X0),X_7)))) )],[refute_0_8393,refute_0_8395]) ).
cnf(refute_0_8397,plain,
converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) = composition(converse(X_14),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_8396:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X_7,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8398,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_366:[bind(X0,$fot(composition(top,complement(skolemFOFtoCNF_X0)))),bind(X1,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8399,plain,
join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) = meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),
inference(subst,[],[refute_0_2960:[bind(X0,$fot(X_671)),bind(X1,$fot(X_672)),bind(X2,$fot(complement(converse(composition(top,converse(X_671))))))]]) ).
cnf(refute_0_8400,plain,
composition(converse(X_671),complement(converse(composition(top,converse(X_671))))) = zero,
inference(subst,[],[refute_0_3678:[bind(X_81,$fot(converse(X_671)))]]) ).
cnf(refute_0_8401,plain,
( composition(converse(X_671),complement(converse(composition(top,converse(X_671))))) != zero
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) ),[0,1,1,1,1],$fot(zero)]]) ).
cnf(refute_0_8402,plain,
( join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_671),complement(converse(composition(top,converse(X_671))))),zero) )],[refute_0_8400,refute_0_8401]) ).
cnf(refute_0_8403,plain,
join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) )],[refute_0_8399,refute_0_8402]) ).
cnf(refute_0_8404,plain,
join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero) = meet(composition(X_671,X_672),complement(composition(X_671,top))),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(meet(composition(X_671,X_672),complement(composition(X_671,top)))))]]) ).
cnf(refute_0_8405,plain,
meet(complement(composition(X_671,top)),zero) = zero,
inference(subst,[],[refute_0_3405:[bind(X_56,$fot(complement(composition(X_671,top))))]]) ).
cnf(refute_0_8406,plain,
composition(X_671,zero) = zero,
inference(subst,[],[refute_0_604:[bind(X0,$fot(X_671))]]) ).
cnf(refute_0_8407,plain,
meet(X_672,zero) = zero,
inference(subst,[],[refute_0_3405:[bind(X_56,$fot(X_672))]]) ).
cnf(refute_0_8408,plain,
composition(X_671,meet(X_672,zero)) = composition(X_671,meet(X_672,zero)),
introduced(tautology,[refl,[$fot(composition(X_671,meet(X_672,zero)))]]) ).
cnf(refute_0_8409,plain,
( composition(X_671,meet(X_672,zero)) != composition(X_671,meet(X_672,zero))
| meet(X_672,zero) != zero
| composition(X_671,meet(X_672,zero)) = composition(X_671,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_671,meet(X_672,zero)),composition(X_671,meet(X_672,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8410,plain,
( meet(X_672,zero) != zero
| composition(X_671,meet(X_672,zero)) = composition(X_671,zero) ),
inference(resolve,[$cnf( $equal(composition(X_671,meet(X_672,zero)),composition(X_671,meet(X_672,zero))) )],[refute_0_8408,refute_0_8409]) ).
cnf(refute_0_8411,plain,
composition(X_671,meet(X_672,zero)) = composition(X_671,zero),
inference(resolve,[$cnf( $equal(meet(X_672,zero),zero) )],[refute_0_8407,refute_0_8410]) ).
cnf(refute_0_8412,plain,
( composition(X_671,meet(X_672,zero)) != composition(X_671,zero)
| composition(X_671,zero) != zero
| composition(X_671,meet(X_672,zero)) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(X_671,meet(X_672,zero)))),bind(Y,$fot(composition(X_671,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8413,plain,
( composition(X_671,zero) != zero
| composition(X_671,meet(X_672,zero)) = zero ),
inference(resolve,[$cnf( $equal(composition(X_671,meet(X_672,zero)),composition(X_671,zero)) )],[refute_0_8411,refute_0_8412]) ).
cnf(refute_0_8414,plain,
composition(X_671,meet(X_672,zero)) = zero,
inference(resolve,[$cnf( $equal(composition(X_671,zero),zero) )],[refute_0_8406,refute_0_8413]) ).
cnf(refute_0_8415,plain,
meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))),
introduced(tautology,[refl,[$fot(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))))]]) ).
cnf(refute_0_8416,plain,
( composition(X_671,meet(X_672,zero)) != zero
| meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) != meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero)))
| meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))),meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8417,plain,
( composition(X_671,meet(X_672,zero)) != zero
| meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))),meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero)))) )],[refute_0_8415,refute_0_8416]) ).
cnf(refute_0_8418,plain,
meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),zero),
inference(resolve,[$cnf( $equal(composition(X_671,meet(X_672,zero)),zero) )],[refute_0_8414,refute_0_8417]) ).
cnf(refute_0_8419,plain,
composition(X_671,converse(top)) = composition(X_671,converse(top)),
introduced(tautology,[refl,[$fot(composition(X_671,converse(top)))]]) ).
cnf(refute_0_8420,plain,
( composition(X_671,converse(top)) != composition(X_671,converse(top))
| converse(top) != top
| composition(X_671,converse(top)) = composition(X_671,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_671,converse(top)),composition(X_671,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8421,plain,
( converse(top) != top
| composition(X_671,converse(top)) = composition(X_671,top) ),
inference(resolve,[$cnf( $equal(composition(X_671,converse(top)),composition(X_671,converse(top))) )],[refute_0_8419,refute_0_8420]) ).
cnf(refute_0_8422,plain,
composition(X_671,converse(top)) = composition(X_671,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_8421]) ).
cnf(refute_0_8423,plain,
converse(composition(top,converse(X_671))) = composition(X_671,converse(top)),
inference(subst,[],[refute_0_450:[bind(X0,$fot(X_671)),bind(X_13,$fot(top))]]) ).
cnf(refute_0_8424,plain,
( composition(X_671,converse(top)) != composition(X_671,top)
| converse(composition(top,converse(X_671))) != composition(X_671,converse(top))
| converse(composition(top,converse(X_671))) = composition(X_671,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,converse(X_671))))),bind(Y,$fot(composition(X_671,converse(top)))),bind(Z,$fot(composition(X_671,top)))]]) ).
cnf(refute_0_8425,plain,
( composition(X_671,converse(top)) != composition(X_671,top)
| converse(composition(top,converse(X_671))) = composition(X_671,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_671))),composition(X_671,converse(top))) )],[refute_0_8423,refute_0_8424]) ).
cnf(refute_0_8426,plain,
converse(composition(top,converse(X_671))) = composition(X_671,top),
inference(resolve,[$cnf( $equal(composition(X_671,converse(top)),composition(X_671,top)) )],[refute_0_8422,refute_0_8425]) ).
cnf(refute_0_8427,plain,
complement(converse(composition(top,converse(X_671)))) = complement(converse(composition(top,converse(X_671)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,converse(X_671)))))]]) ).
cnf(refute_0_8428,plain,
( complement(converse(composition(top,converse(X_671)))) != complement(converse(composition(top,converse(X_671))))
| converse(composition(top,converse(X_671))) != composition(X_671,top)
| complement(converse(composition(top,converse(X_671)))) = complement(composition(X_671,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,converse(X_671)))),complement(converse(composition(top,converse(X_671))))) ),[1,0],$fot(composition(X_671,top))]]) ).
cnf(refute_0_8429,plain,
( converse(composition(top,converse(X_671))) != composition(X_671,top)
| complement(converse(composition(top,converse(X_671)))) = complement(composition(X_671,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(X_671)))),complement(converse(composition(top,converse(X_671))))) )],[refute_0_8427,refute_0_8428]) ).
cnf(refute_0_8430,plain,
complement(converse(composition(top,converse(X_671)))) = complement(composition(X_671,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_671))),composition(X_671,top)) )],[refute_0_8426,refute_0_8429]) ).
cnf(refute_0_8431,plain,
meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))),
introduced(tautology,[refl,[$fot(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))]]) ).
cnf(refute_0_8432,plain,
( complement(converse(composition(top,converse(X_671)))) != complement(composition(X_671,top))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) ),[1,0],$fot(complement(composition(X_671,top)))]]) ).
cnf(refute_0_8433,plain,
( complement(converse(composition(top,converse(X_671)))) != complement(composition(X_671,top))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) )],[refute_0_8431,refute_0_8432]) ).
cnf(refute_0_8434,plain,
meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(X_671)))),complement(composition(X_671,top))) )],[refute_0_8430,refute_0_8433]) ).
cnf(refute_0_8435,plain,
( meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) != meet(complement(composition(X_671,top)),zero)
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) != meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero)))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))),bind(Y,$fot(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))))),bind(Z,$fot(meet(complement(composition(X_671,top)),zero)))]]) ).
cnf(refute_0_8436,plain,
( meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))) != meet(complement(composition(X_671,top)),zero)
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))),meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero)))) )],[refute_0_8434,refute_0_8435]) ).
cnf(refute_0_8437,plain,
meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = meet(complement(composition(X_671,top)),zero),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,zero))),meet(complement(composition(X_671,top)),zero)) )],[refute_0_8418,refute_0_8436]) ).
cnf(refute_0_8438,plain,
( meet(complement(composition(X_671,top)),zero) != zero
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) != meet(complement(composition(X_671,top)),zero)
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))),bind(Y,$fot(meet(complement(composition(X_671,top)),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8439,plain,
( meet(complement(composition(X_671,top)),zero) != zero
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))),meet(complement(composition(X_671,top)),zero)) )],[refute_0_8437,refute_0_8438]) ).
cnf(refute_0_8440,plain,
meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(composition(X_671,top)),zero),zero) )],[refute_0_8405,refute_0_8439]) ).
cnf(refute_0_8441,plain,
join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),
introduced(tautology,[refl,[$fot(join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))))]]) ).
cnf(refute_0_8442,plain,
( join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) != zero
| join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8443,plain,
( meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))) != zero
| join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))) )],[refute_0_8441,refute_0_8442]) ).
cnf(refute_0_8444,plain,
join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))),zero) )],[refute_0_8440,refute_0_8443]) ).
cnf(refute_0_8445,plain,
meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))) = meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),
introduced(tautology,[refl,[$fot(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))))]]) ).
cnf(refute_0_8446,plain,
( complement(converse(composition(top,converse(X_671)))) != complement(composition(X_671,top))
| meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))) != meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671)))))
| meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))) = meet(composition(X_671,X_672),complement(composition(X_671,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671)))))) ),[1,1],$fot(complement(composition(X_671,top)))]]) ).
cnf(refute_0_8447,plain,
( complement(converse(composition(top,converse(X_671)))) != complement(composition(X_671,top))
| meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))) = meet(composition(X_671,X_672),complement(composition(X_671,top))) ),
inference(resolve,[$cnf( $equal(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671)))))) )],[refute_0_8445,refute_0_8446]) ).
cnf(refute_0_8448,plain,
meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))) = meet(composition(X_671,X_672),complement(composition(X_671,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(X_671)))),complement(composition(X_671,top))) )],[refute_0_8430,refute_0_8447]) ).
cnf(refute_0_8449,plain,
join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),
introduced(tautology,[refl,[$fot(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))))]]) ).
cnf(refute_0_8450,plain,
( join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))
| meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))) != meet(composition(X_671,X_672),complement(composition(X_671,top)))
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))) ),[1,0],$fot(meet(composition(X_671,X_672),complement(composition(X_671,top))))]]) ).
cnf(refute_0_8451,plain,
( meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))) != meet(composition(X_671,X_672),complement(composition(X_671,top)))
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))) )],[refute_0_8449,refute_0_8450]) ).
cnf(refute_0_8452,plain,
join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),
inference(resolve,[$cnf( $equal(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(composition(X_671,X_672),complement(composition(X_671,top)))) )],[refute_0_8448,refute_0_8451]) ).
cnf(refute_0_8453,plain,
( join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero)
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))))),bind(Y,$fot(join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))))),bind(Z,$fot(join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero)))]]) ).
cnf(refute_0_8454,plain,
( join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero)
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero))))) )],[refute_0_8452,refute_0_8453]) ).
cnf(refute_0_8455,plain,
join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero),
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero)) )],[refute_0_8444,refute_0_8454]) ).
cnf(refute_0_8456,plain,
( join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero) != meet(composition(X_671,X_672),complement(composition(X_671,top)))
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero)
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = meet(composition(X_671,X_672),complement(composition(X_671,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))))),bind(Y,$fot(join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero))),bind(Z,$fot(meet(composition(X_671,X_672),complement(composition(X_671,top)))))]]) ).
cnf(refute_0_8457,plain,
( join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero) != meet(composition(X_671,X_672),complement(composition(X_671,top)))
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = meet(composition(X_671,X_672),complement(composition(X_671,top))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero)) )],[refute_0_8455,refute_0_8456]) ).
cnf(refute_0_8458,plain,
join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) = meet(composition(X_671,X_672),complement(composition(X_671,top))),
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(composition(X_671,top))),zero),meet(composition(X_671,X_672),complement(composition(X_671,top)))) )],[refute_0_8404,refute_0_8457]) ).
cnf(refute_0_8459,plain,
( join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != meet(composition(X_671,X_672),complement(composition(X_671,top)))
| meet(composition(X_671,X_672),complement(composition(X_671,top))) = meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) ),[0],$fot(meet(composition(X_671,X_672),complement(composition(X_671,top))))]]) ).
cnf(refute_0_8460,plain,
( join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| meet(composition(X_671,X_672),complement(composition(X_671,top))) = meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),meet(composition(X_671,X_672),complement(composition(X_671,top)))) )],[refute_0_8458,refute_0_8459]) ).
cnf(refute_0_8461,plain,
meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) = meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))),
introduced(tautology,[refl,[$fot(meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))]]) ).
cnf(refute_0_8462,plain,
( composition(converse(X_671),complement(converse(composition(top,converse(X_671))))) != zero
| meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) != meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))
| meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) = meet(X_672,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))),meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8463,plain,
( composition(converse(X_671),complement(converse(composition(top,converse(X_671))))) != zero
| meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) = meet(X_672,zero) ),
inference(resolve,[$cnf( $equal(meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))),meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) )],[refute_0_8461,refute_0_8462]) ).
cnf(refute_0_8464,plain,
meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) = meet(X_672,zero),
inference(resolve,[$cnf( $equal(composition(converse(X_671),complement(converse(composition(top,converse(X_671))))),zero) )],[refute_0_8400,refute_0_8463]) ).
cnf(refute_0_8465,plain,
( meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) != meet(X_672,zero)
| meet(X_672,zero) != zero
| meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),bind(Y,$fot(meet(X_672,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8466,plain,
( meet(X_672,zero) != zero
| meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))),meet(X_672,zero)) )],[refute_0_8464,refute_0_8465]) ).
cnf(refute_0_8467,plain,
meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) = zero,
inference(resolve,[$cnf( $equal(meet(X_672,zero),zero) )],[refute_0_8407,refute_0_8466]) ).
cnf(refute_0_8468,plain,
composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) = composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))),
introduced(tautology,[refl,[$fot(composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))]]) ).
cnf(refute_0_8469,plain,
( composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) != composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))
| meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) != zero
| composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) = composition(X_671,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8470,plain,
( meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))) != zero
| composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) = composition(X_671,zero) ),
inference(resolve,[$cnf( $equal(composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) )],[refute_0_8468,refute_0_8469]) ).
cnf(refute_0_8471,plain,
composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) = composition(X_671,zero),
inference(resolve,[$cnf( $equal(meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))),zero) )],[refute_0_8467,refute_0_8470]) ).
cnf(refute_0_8472,plain,
( composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) != composition(X_671,zero)
| composition(X_671,zero) != zero
| composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))),bind(Y,$fot(composition(X_671,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8473,plain,
( composition(X_671,zero) != zero
| composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))),composition(X_671,zero)) )],[refute_0_8471,refute_0_8472]) ).
cnf(refute_0_8474,plain,
composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) = zero,
inference(resolve,[$cnf( $equal(composition(X_671,zero),zero) )],[refute_0_8406,refute_0_8473]) ).
cnf(refute_0_8475,plain,
meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),
introduced(tautology,[refl,[$fot(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))))]]) ).
cnf(refute_0_8476,plain,
( composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) != zero
| meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) != meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8477,plain,
( composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))) != zero
| meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) )],[refute_0_8475,refute_0_8476]) ).
cnf(refute_0_8478,plain,
meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),zero),
inference(resolve,[$cnf( $equal(composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))),zero) )],[refute_0_8474,refute_0_8477]) ).
cnf(refute_0_8479,plain,
meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))))]]) ).
cnf(refute_0_8480,plain,
( complement(converse(composition(top,converse(X_671)))) != complement(composition(X_671,top))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) ),[1,0],$fot(complement(composition(X_671,top)))]]) ).
cnf(refute_0_8481,plain,
( complement(converse(composition(top,converse(X_671)))) != complement(composition(X_671,top))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) )],[refute_0_8479,refute_0_8480]) ).
cnf(refute_0_8482,plain,
meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(X_671)))),complement(composition(X_671,top))) )],[refute_0_8430,refute_0_8481]) ).
cnf(refute_0_8483,plain,
( meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) != meet(complement(composition(X_671,top)),zero)
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) != meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))))),bind(Y,$fot(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))))),bind(Z,$fot(meet(complement(composition(X_671,top)),zero)))]]) ).
cnf(refute_0_8484,plain,
( meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) != meet(complement(composition(X_671,top)),zero)
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) )],[refute_0_8482,refute_0_8483]) ).
cnf(refute_0_8485,plain,
meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = meet(complement(composition(X_671,top)),zero),
inference(resolve,[$cnf( $equal(meet(complement(composition(X_671,top)),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),meet(complement(composition(X_671,top)),zero)) )],[refute_0_8478,refute_0_8484]) ).
cnf(refute_0_8486,plain,
( meet(complement(composition(X_671,top)),zero) != zero
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) != meet(complement(composition(X_671,top)),zero)
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))))),bind(Y,$fot(meet(complement(composition(X_671,top)),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_8487,plain,
( meet(complement(composition(X_671,top)),zero) != zero
| meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),meet(complement(composition(X_671,top)),zero)) )],[refute_0_8485,refute_0_8486]) ).
cnf(refute_0_8488,plain,
meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(composition(X_671,top)),zero),zero) )],[refute_0_8405,refute_0_8487]) ).
cnf(refute_0_8489,plain,
( meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))) != zero
| meet(composition(X_671,X_672),complement(composition(X_671,top))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| meet(composition(X_671,X_672),complement(composition(X_671,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) ),[1],$fot(zero)]]) ).
cnf(refute_0_8490,plain,
( meet(composition(X_671,X_672),complement(composition(X_671,top))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| meet(composition(X_671,X_672),complement(composition(X_671,top))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671)))))))),zero) )],[refute_0_8488,refute_0_8489]) ).
cnf(refute_0_8491,plain,
( join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))) != meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))
| meet(composition(X_671,X_672),complement(composition(X_671,top))) = zero ),
inference(resolve,[$cnf( $equal(meet(composition(X_671,X_672),complement(composition(X_671,top))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) )],[refute_0_8460,refute_0_8490]) ).
cnf(refute_0_8492,plain,
meet(composition(X_671,X_672),complement(composition(X_671,top))) = zero,
inference(resolve,[$cnf( $equal(join(meet(composition(X_671,X_672),complement(converse(composition(top,converse(X_671))))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,zero)))),meet(complement(converse(composition(top,converse(X_671)))),composition(X_671,meet(X_672,composition(converse(X_671),complement(converse(composition(top,converse(X_671))))))))) )],[refute_0_8403,refute_0_8491]) ).
cnf(refute_0_8493,plain,
meet(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) = zero,
inference(subst,[],[refute_0_8492:[bind(X_671,$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(X_672,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8494,plain,
converse(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8495,plain,
converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),
inference(subst,[],[refute_0_450:[bind(X_13,$fot(complement(converse(complement(composition(converse(X0),top))))))]]) ).
cnf(refute_0_8496,plain,
composition(join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))),X_128) = composition(complement(converse(complement(composition(X_128,top)))),X_128),
inference(subst,[],[refute_0_1370:[bind(X_109,$fot(complement(converse(complement(composition(X_128,top)))))),bind(X_110,$fot(X_128))]]) ).
cnf(refute_0_8497,plain,
top = join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))),
inference(subst,[],[refute_0_14:[bind(X0,$fot(converse(complement(composition(X_128,top)))))]]) ).
cnf(refute_0_8498,plain,
( top != join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top)))))
| join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top)))))))]]) ).
cnf(refute_0_8499,plain,
join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top)))))) )],[refute_0_8497,refute_0_8498]) ).
cnf(refute_0_8500,plain,
( composition(join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))),X_128) != composition(complement(converse(complement(composition(X_128,top)))),X_128)
| join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))) != top
| composition(top,X_128) = composition(complement(converse(complement(composition(X_128,top)))),X_128) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))),X_128),composition(complement(converse(complement(composition(X_128,top)))),X_128)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_8501,plain,
( composition(join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))),X_128) != composition(complement(converse(complement(composition(X_128,top)))),X_128)
| composition(top,X_128) = composition(complement(converse(complement(composition(X_128,top)))),X_128) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))),top) )],[refute_0_8499,refute_0_8500]) ).
cnf(refute_0_8502,plain,
composition(top,X_128) = composition(complement(converse(complement(composition(X_128,top)))),X_128),
inference(resolve,[$cnf( $equal(composition(join(converse(complement(composition(X_128,top))),complement(converse(complement(composition(X_128,top))))),X_128),composition(complement(converse(complement(composition(X_128,top)))),X_128)) )],[refute_0_8496,refute_0_8501]) ).
cnf(refute_0_8503,plain,
composition(top,converse(X0)) = composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)),
inference(subst,[],[refute_0_8502:[bind(X_128,$fot(converse(X0)))]]) ).
cnf(refute_0_8504,plain,
( composition(top,converse(X0)) != composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))
| composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)) = composition(top,converse(X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,converse(X0)))),bind(Y,$fot(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))))]]) ).
cnf(refute_0_8505,plain,
composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)) = composition(top,converse(X0)),
inference(resolve,[$cnf( $equal(composition(top,converse(X0)),composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))) )],[refute_0_8503,refute_0_8504]) ).
cnf(refute_0_8506,plain,
( composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)) != composition(top,converse(X0))
| converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| converse(composition(top,converse(X0))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) ),[0,0],$fot(composition(top,converse(X0)))]]) ).
cnf(refute_0_8507,plain,
( converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| converse(composition(top,converse(X0))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0)),composition(top,converse(X0))) )],[refute_0_8505,refute_0_8506]) ).
cnf(refute_0_8508,plain,
converse(composition(top,converse(X0))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(complement(composition(converse(X0),top)))),converse(X0))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) )],[refute_0_8495,refute_0_8507]) ).
cnf(refute_0_8509,plain,
composition(X0,converse(top)) = composition(X0,converse(top)),
introduced(tautology,[refl,[$fot(composition(X0,converse(top)))]]) ).
cnf(refute_0_8510,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_8511,plain,
( converse(top) != top
| composition(X0,converse(top)) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(top)),composition(X0,converse(top))) )],[refute_0_8509,refute_0_8510]) ).
cnf(refute_0_8512,plain,
composition(X0,converse(top)) = composition(X0,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_767,refute_0_8511]) ).
cnf(refute_0_8513,plain,
converse(composition(top,converse(X0))) = composition(X0,converse(top)),
inference(subst,[],[refute_0_450:[bind(X_13,$fot(top))]]) ).
cnf(refute_0_8514,plain,
( composition(X0,converse(top)) != composition(X0,top)
| converse(composition(top,converse(X0))) != composition(X0,converse(top))
| converse(composition(top,converse(X0))) = composition(X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(top,converse(X0))))),bind(Y,$fot(composition(X0,converse(top)))),bind(Z,$fot(composition(X0,top)))]]) ).
cnf(refute_0_8515,plain,
( composition(X0,converse(top)) != composition(X0,top)
| converse(composition(top,converse(X0))) = composition(X0,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,converse(top))) )],[refute_0_8513,refute_0_8514]) ).
cnf(refute_0_8516,plain,
converse(composition(top,converse(X0))) = composition(X0,top),
inference(resolve,[$cnf( $equal(composition(X0,converse(top)),composition(X0,top)) )],[refute_0_8512,refute_0_8515]) ).
cnf(refute_0_8517,plain,
( converse(composition(top,converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| converse(composition(top,converse(X0))) != composition(X0,top)
| composition(X0,top) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) ),[0],$fot(composition(X0,top))]]) ).
cnf(refute_0_8518,plain,
( converse(composition(top,converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| composition(X0,top) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,top)) )],[refute_0_8516,refute_0_8517]) ).
cnf(refute_0_8519,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(subst,[],[refute_0_980:[bind(X_14,$fot(X0))]]) ).
cnf(refute_0_8520,plain,
complement(composition(converse(X0),top)) = complement(composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X0),top)))]]) ).
cnf(refute_0_8521,plain,
( complement(composition(converse(X0),top)) != complement(composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) ),[1,0],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_0_8522,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) )],[refute_0_8520,refute_0_8521]) ).
cnf(refute_0_8523,plain,
complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_0_8519,refute_0_8522]) ).
cnf(refute_0_8524,plain,
converse(complement(composition(converse(X0),top))) = converse(complement(composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(converse(complement(composition(converse(X0),top))))]]) ).
cnf(refute_0_8525,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| converse(complement(composition(converse(X0),top))) != converse(complement(composition(converse(X0),top)))
| converse(complement(composition(converse(X0),top))) = converse(complement(converse(composition(top,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(converse(X0),top))),converse(complement(composition(converse(X0),top)))) ),[1,0],$fot(complement(converse(composition(top,X0))))]]) ).
cnf(refute_0_8526,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| converse(complement(composition(converse(X0),top))) = converse(complement(converse(composition(top,X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(converse(X0),top))),converse(complement(composition(converse(X0),top)))) )],[refute_0_8524,refute_0_8525]) ).
cnf(refute_0_8527,plain,
converse(complement(composition(converse(X0),top))) = converse(complement(converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(converse(composition(top,X0)))) )],[refute_0_8523,refute_0_8526]) ).
cnf(refute_0_8528,plain,
complement(converse(complement(composition(converse(X0),top)))) = complement(converse(complement(composition(converse(X0),top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(converse(X0),top)))))]]) ).
cnf(refute_0_8529,plain,
( complement(converse(complement(composition(converse(X0),top)))) != complement(converse(complement(composition(converse(X0),top))))
| converse(complement(composition(converse(X0),top))) != converse(complement(converse(composition(top,X0))))
| complement(converse(complement(composition(converse(X0),top)))) = complement(converse(complement(converse(composition(top,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(converse(X0),top)))),complement(converse(complement(composition(converse(X0),top))))) ),[1,0],$fot(converse(complement(converse(composition(top,X0)))))]]) ).
cnf(refute_0_8530,plain,
( converse(complement(composition(converse(X0),top))) != converse(complement(converse(composition(top,X0))))
| complement(converse(complement(composition(converse(X0),top)))) = complement(converse(complement(converse(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(converse(X0),top)))),complement(converse(complement(composition(converse(X0),top))))) )],[refute_0_8528,refute_0_8529]) ).
cnf(refute_0_8531,plain,
complement(converse(complement(composition(converse(X0),top)))) = complement(converse(complement(converse(composition(top,X0))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(converse(X0),top))),converse(complement(converse(composition(top,X0))))) )],[refute_0_8527,refute_0_8530]) ).
cnf(refute_0_8532,plain,
converse(complement(converse(complement(composition(converse(X0),top))))) = converse(complement(converse(complement(composition(converse(X0),top))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(composition(converse(X0),top))))))]]) ).
cnf(refute_0_8533,plain,
( complement(converse(complement(composition(converse(X0),top)))) != complement(converse(complement(converse(composition(top,X0)))))
| converse(complement(converse(complement(composition(converse(X0),top))))) != converse(complement(converse(complement(composition(converse(X0),top)))))
| converse(complement(converse(complement(composition(converse(X0),top))))) = converse(complement(converse(complement(converse(composition(top,X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(composition(converse(X0),top))))),converse(complement(converse(complement(composition(converse(X0),top)))))) ),[1,0],$fot(complement(converse(complement(converse(composition(top,X0))))))]]) ).
cnf(refute_0_8534,plain,
( complement(converse(complement(composition(converse(X0),top)))) != complement(converse(complement(converse(composition(top,X0)))))
| converse(complement(converse(complement(composition(converse(X0),top))))) = converse(complement(converse(complement(converse(composition(top,X0)))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(converse(X0),top))))),converse(complement(converse(complement(composition(converse(X0),top)))))) )],[refute_0_8532,refute_0_8533]) ).
cnf(refute_0_8535,plain,
converse(complement(converse(complement(composition(converse(X0),top))))) = converse(complement(converse(complement(converse(composition(top,X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(converse(X0),top)))),complement(converse(complement(converse(composition(top,X0)))))) )],[refute_0_8531,refute_0_8534]) ).
cnf(refute_0_8536,plain,
composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) = composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),
introduced(tautology,[refl,[$fot(composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))))]]) ).
cnf(refute_0_8537,plain,
( composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| converse(complement(converse(complement(composition(converse(X0),top))))) != converse(complement(converse(complement(converse(composition(top,X0))))))
| composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) ),[1,1],$fot(converse(complement(converse(complement(converse(composition(top,X0)))))))]]) ).
cnf(refute_0_8538,plain,
( converse(complement(converse(complement(composition(converse(X0),top))))) != converse(complement(converse(complement(converse(composition(top,X0))))))
| composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) )],[refute_0_8536,refute_0_8537]) ).
cnf(refute_0_8539,plain,
composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(composition(converse(X0),top))))),converse(complement(converse(complement(converse(composition(top,X0))))))) )],[refute_0_8535,refute_0_8538]) ).
cnf(refute_0_8540,plain,
( composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))) != composition(X0,converse(complement(converse(complement(converse(composition(top,X0)))))))
| composition(X0,top) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| composition(X0,top) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,top),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) ),[1],$fot(composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))))]]) ).
cnf(refute_0_8541,plain,
( composition(X0,top) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| composition(X0,top) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(complement(converse(complement(composition(converse(X0),top)))))),composition(X0,converse(complement(converse(complement(converse(composition(top,X0)))))))) )],[refute_0_8539,refute_0_8540]) ).
cnf(refute_0_8542,plain,
( converse(composition(top,converse(X0))) != composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))
| composition(X0,top) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))) ),
inference(resolve,[$cnf( $equal(composition(X0,top),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) )],[refute_0_8518,refute_0_8541]) ).
cnf(refute_0_8543,plain,
composition(X0,top) = composition(X0,converse(complement(converse(complement(converse(composition(top,X0))))))),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,converse(complement(converse(complement(composition(converse(X0),top))))))) )],[refute_0_8508,refute_0_8542]) ).
cnf(refute_0_8544,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),top) = composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(subst,[],[refute_0_8543:[bind(X0,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8545,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),top) != composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| composition(complement(converse(skolemFOFtoCNF_X0)),top) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),top),composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8546,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),top) != composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),top),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8312,refute_0_8545]) ).
cnf(refute_0_8547,plain,
converse(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),top),composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_8544,refute_0_8546]) ).
cnf(refute_0_8548,plain,
converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8549,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))
| converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8550,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8548,refute_0_8549]) ).
cnf(refute_0_8551,plain,
converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8356,refute_0_8550]) ).
cnf(refute_0_8552,plain,
complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8553,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)))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(complement(composition(top,complement(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(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8554,plain,
( converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8552,refute_0_8553]) ).
cnf(refute_0_8555,plain,
complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8551,refute_0_8554]) ).
cnf(refute_0_8556,plain,
composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8557,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) ),[1,0],$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8558,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_8556,refute_0_8557]) ).
cnf(refute_0_8559,plain,
composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8555,refute_0_8558]) ).
cnf(refute_0_8560,plain,
converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) = converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8561,plain,
( composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
| converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) != converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8562,plain,
( composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
| converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_8560,refute_0_8561]) ).
cnf(refute_0_8563,plain,
converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_8559,refute_0_8562]) ).
cnf(refute_0_8564,plain,
converse(composition(X0,complement(skolemFOFtoCNF_X0))) = composition(converse(complement(skolemFOFtoCNF_X0)),converse(X0)),
inference(subst,[],[refute_0_57:[bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8565,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(composition(X0,complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(X0))
| converse(composition(X0,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),converse(X0))) ),[1,0],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8566,plain,
( converse(composition(X0,complement(skolemFOFtoCNF_X0))) != composition(converse(complement(skolemFOFtoCNF_X0)),converse(X0))
| converse(composition(X0,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_7484,refute_0_8565]) ).
cnf(refute_0_8567,plain,
converse(composition(X0,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(skolemFOFtoCNF_X0)),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,complement(skolemFOFtoCNF_X0))),composition(converse(complement(skolemFOFtoCNF_X0)),converse(X0))) )],[refute_0_8564,refute_0_8566]) ).
cnf(refute_0_8568,plain,
( converse(composition(X0,complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),converse(X0))
| composition(complement(converse(skolemFOFtoCNF_X0)),converse(X0)) = converse(composition(X0,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(X0,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),converse(X0))))]]) ).
cnf(refute_0_8569,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),converse(X0)) = converse(composition(X0,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(X0,complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),converse(X0))) )],[refute_0_8567,refute_0_8568]) ).
cnf(refute_0_8570,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_8569:[bind(X0,$fot(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8571,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) != converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))
| composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8572,plain,
( converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))) != converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))
| composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_8570,refute_0_8571]) ).
cnf(refute_0_8573,plain,
composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(skolemFOFtoCNF_X0))),converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_8563,refute_0_8572]) ).
cnf(refute_0_8574,plain,
( composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1],$fot(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8575,plain,
( converse(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(composition(top,complement(skolemFOFtoCNF_X0))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_8573,refute_0_8574]) ).
cnf(refute_0_8576,plain,
converse(composition(top,complement(skolemFOFtoCNF_X0))) = converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(converse(skolemFOFtoCNF_X0)),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_8547,refute_0_8575]) ).
cnf(refute_0_8577,plain,
( converse(composition(top,complement(skolemFOFtoCNF_X0))) != converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = converse(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8578,plain,
converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) = converse(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(skolemFOFtoCNF_X0))),converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))) )],[refute_0_8576,refute_0_8577]) ).
cnf(refute_0_8579,plain,
( converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) != converse(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))) != composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
| converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))),composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),[0,0],$fot(converse(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8580,plain,
( converse(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))) != composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
| converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))),converse(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8578,refute_0_8579]) ).
cnf(refute_0_8581,plain,
converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)))),composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_8494,refute_0_8580]) ).
cnf(refute_0_8582,plain,
( converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
| converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(top,complement(skolemFOFtoCNF_X0))
| composition(top,complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) ),[0],$fot(composition(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8583,plain,
( converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))) != composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
| composition(top,complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_7989,refute_0_8582]) ).
cnf(refute_0_8584,plain,
composition(top,complement(skolemFOFtoCNF_X0)) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(skolemFOFtoCNF_X0)))),composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_8581,refute_0_8583]) ).
cnf(refute_0_8585,plain,
( composition(top,complement(skolemFOFtoCNF_X0)) != composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))
| composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) = composition(top,complement(skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(top,complement(skolemFOFtoCNF_X0)))),bind(Y,$fot(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8586,plain,
composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) = composition(top,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(composition(top,complement(skolemFOFtoCNF_X0)),composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0))) )],[refute_0_8584,refute_0_8585]) ).
cnf(refute_0_8587,plain,
( composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)) != composition(top,complement(skolemFOFtoCNF_X0))
| meet(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) != zero
| meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))),zero) ),[0,0],$fot(composition(top,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8588,plain,
( meet(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) != zero
| meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),composition(top,complement(skolemFOFtoCNF_X0))) )],[refute_0_8586,refute_0_8587]) ).
cnf(refute_0_8589,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))),zero) )],[refute_0_8493,refute_0_8588]) ).
cnf(refute_0_8590,plain,
complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_303:[bind(X0,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8591,plain,
join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(subst,[],[refute_0_3665:[bind(X0,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),bind(X1,$fot(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8592,plain,
join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) = complement(converse(top)),
inference(subst,[],[refute_0_3665:[bind(X0,$fot(top)),bind(X1,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8593,plain,
( composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),complement(converse(top))) ),[0,1,1,0,0],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8594,plain,
( join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7947,refute_0_8593]) ).
cnf(refute_0_8595,plain,
join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),complement(converse(top))) )],[refute_0_8592,refute_0_8594]) ).
cnf(refute_0_8596,plain,
join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_8597,plain,
join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_8598,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8599,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_8597,refute_0_8598]) ).
cnf(refute_0_8600,plain,
join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_8599]) ).
cnf(refute_0_8601,plain,
( join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))
| join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),bind(Y,$fot(join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_8602,plain,
( join(zero,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))))))))
| join(complement(converse(top)),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)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_8600,refute_0_8601]) ).
cnf(refute_0_8603,plain,
join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_8596,refute_0_8602]) ).
cnf(refute_0_8604,plain,
( join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(top))) ),[0],$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8605,plain,
( join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(top))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_8603,refute_0_8604]) ).
cnf(refute_0_8606,plain,
( complement(converse(top)) != zero
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(converse(top))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),complement(converse(top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_8607,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != complement(converse(top))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_8606]) ).
cnf(refute_0_8608,plain,
( join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(top))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),complement(converse(top))) )],[refute_0_8605,refute_0_8607]) ).
cnf(refute_0_8609,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = zero,
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(top))) )],[refute_0_8595,refute_0_8608]) ).
cnf(refute_0_8610,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != zero
| join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_8611,plain,
( join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_8609,refute_0_8610]) ).
cnf(refute_0_8612,plain,
join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8591,refute_0_8611]) ).
cnf(refute_0_8613,plain,
join(one,complement(converse(zero))) = join(one,complement(converse(zero))),
introduced(tautology,[refl,[$fot(join(one,complement(converse(zero))))]]) ).
cnf(refute_0_8614,plain,
( complement(converse(zero)) != top
| join(one,complement(converse(zero))) != join(one,complement(converse(zero)))
| join(one,complement(converse(zero))) = join(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(converse(zero))),join(one,complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8615,plain,
( complement(converse(zero)) != top
| join(one,complement(converse(zero))) = join(one,top) ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(zero))),join(one,complement(converse(zero)))) )],[refute_0_8613,refute_0_8614]) ).
cnf(refute_0_8616,plain,
join(one,complement(converse(zero))) = join(one,top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_498,refute_0_8615]) ).
cnf(refute_0_8617,plain,
( join(one,complement(converse(zero))) != join(one,top)
| join(one,top) != top
| join(one,complement(converse(zero))) = top ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(one,complement(converse(zero))))),bind(Y,$fot(join(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_8618,plain,
( join(one,top) != top
| join(one,complement(converse(zero))) = top ),
inference(resolve,[$cnf( $equal(join(one,complement(converse(zero))),join(one,top)) )],[refute_0_8616,refute_0_8617]) ).
cnf(refute_0_8619,plain,
join(one,complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1339,refute_0_8618]) ).
cnf(refute_0_8620,plain,
composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))))]]) ).
cnf(refute_0_8621,plain,
( composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))) != composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero))))
| join(one,complement(converse(zero))) != top
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8622,plain,
( join(one,complement(converse(zero))) != top
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero))))) )],[refute_0_8620,refute_0_8621]) ).
cnf(refute_0_8623,plain,
composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top),
inference(resolve,[$cnf( $equal(join(one,complement(converse(zero))),top) )],[refute_0_8619,refute_0_8622]) ).
cnf(refute_0_8624,plain,
join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))),
inference(subst,[],[refute_0_3753:[bind(X0,$fot(complement(converse(zero)))),bind(X_302,$fot(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8625,plain,
( composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))) != composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)
| join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero))))
| join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))))),bind(Y,$fot(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))))),bind(Z,$fot(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)))]]) ).
cnf(refute_0_8626,plain,
( composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))) != composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)
| join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero))))) )],[refute_0_8624,refute_0_8625]) ).
cnf(refute_0_8627,plain,
join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),join(one,complement(converse(zero)))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)) )],[refute_0_8623,refute_0_8626]) ).
cnf(refute_0_8628,plain,
( join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top))]]) ).
cnf(refute_0_8629,plain,
( join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)) )],[refute_0_8627,refute_0_8628]) ).
cnf(refute_0_8630,plain,
composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(zero)))),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8612,refute_0_8629]) ).
cnf(refute_0_8631,plain,
composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top))]]) ).
cnf(refute_0_8632,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) != composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)) ),[1,0],$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8633,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top),composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top)) )],[refute_0_8631,refute_0_8632]) ).
cnf(refute_0_8634,plain,
composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) = composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8555,refute_0_8633]) ).
cnf(refute_0_8635,plain,
( composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) != composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)
| composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[0],$fot(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))]]) ).
cnf(refute_0_8636,plain,
( composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) = complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top),composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) )],[refute_0_8634,refute_0_8635]) ).
cnf(refute_0_8637,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) ),[1],$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8638,plain,
( composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8555,refute_0_8637]) ).
cnf(refute_0_8639,plain,
( composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top) != complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))
| composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8636,refute_0_8638]) ).
cnf(refute_0_8640,plain,
composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) = complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),top),complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) )],[refute_0_8630,refute_0_8639]) ).
cnf(refute_0_8641,plain,
complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) = complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)))]]) ).
cnf(refute_0_8642,plain,
( complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) != complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))
| composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) ),[1,0],$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8643,plain,
( composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) )],[refute_0_8641,refute_0_8642]) ).
cnf(refute_0_8644,plain,
complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) = complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8640,refute_0_8643]) ).
cnf(refute_0_8645,plain,
( complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) != complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)))),bind(Y,$fot(complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8646,plain,
( complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)),complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8644,refute_0_8645]) ).
cnf(refute_0_8647,plain,
complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8590,refute_0_8646]) ).
cnf(refute_0_8648,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) = meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))),
introduced(tautology,[refl,[$fot(meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))))]]) ).
cnf(refute_0_8649,plain,
( complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) != meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)))
| meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) = meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))),meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)))) ),[1,1],$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8650,plain,
( complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) = meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))),meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)))) )],[refute_0_8648,refute_0_8649]) ).
cnf(refute_0_8651,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) = meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8647,refute_0_8650]) ).
cnf(refute_0_8652,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) != meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) != zero
| meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))),zero) ),[0],$fot(meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8653,plain,
( meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))) != zero
| meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = zero ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))),meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8651,refute_0_8652]) ).
cnf(refute_0_8654,plain,
meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0)),complement(composition(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),top))),zero) )],[refute_0_8589,refute_0_8653]) ).
cnf(refute_0_8655,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))
| meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_8656,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8654,refute_0_8655]) ).
cnf(refute_0_8657,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(meet(composition(top,complement(skolemFOFtoCNF_X0)),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8398,refute_0_8656]) ).
cnf(refute_0_8658,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8659,plain,
meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = zero,
inference(subst,[],[refute_0_1701:[bind(X_55,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8660,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8661,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))
| meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != zero
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_8662,plain,
( meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != zero
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8660,refute_0_8661]) ).
cnf(refute_0_8663,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero),
inference(resolve,[$cnf( $equal(meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_8659,refute_0_8662]) ).
cnf(refute_0_8664,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero)
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))),bind(Y,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8665,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero)) )],[refute_0_8663,refute_0_8664]) ).
cnf(refute_0_8666,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),zero),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8658,refute_0_8665]) ).
cnf(refute_0_8667,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),[0],$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8668,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8666,refute_0_8667]) ).
cnf(refute_0_8669,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),meet(zero,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8657,refute_0_8668]) ).
cnf(refute_0_8670,plain,
( converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) != composition(converse(X_14),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) = composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)),composition(converse(X_14),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8671,plain,
( converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) != composition(converse(X_14),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) = composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8669,refute_0_8670]) ).
cnf(refute_0_8672,plain,
converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) = composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)),composition(converse(X_14),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8397,refute_0_8671]) ).
cnf(refute_0_8673,plain,
composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14) = composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14),
introduced(tautology,[refl,[$fot(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14))]]) ).
cnf(refute_0_8674,plain,
( composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14) != composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14),composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8675,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14),composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) )],[refute_0_8673,refute_0_8674]) ).
cnf(refute_0_8676,plain,
composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8669,refute_0_8675]) ).
cnf(refute_0_8677,plain,
converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) = converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)),
introduced(tautology,[refl,[$fot(converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)))]]) ).
cnf(refute_0_8678,plain,
( composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)
| converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) != converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14))
| converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)),converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14))) ),[1,0],$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14))]]) ).
cnf(refute_0_8679,plain,
( composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)
| converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)),converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14))) )],[refute_0_8677,refute_0_8678]) ).
cnf(refute_0_8680,plain,
converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) )],[refute_0_8676,refute_0_8679]) ).
cnf(refute_0_8681,plain,
converse(composition(join(X_6,converse(X0)),X_14)) = composition(converse(X_14),converse(join(X_6,converse(X0)))),
inference(subst,[],[refute_0_57:[bind(X0,$fot(join(X_6,converse(X0)))),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_8682,plain,
( converse(composition(join(X_6,converse(X0)),X_14)) != composition(converse(X_14),converse(join(X_6,converse(X0))))
| converse(join(X_6,converse(X0))) != join(converse(X_6),X0)
| converse(composition(join(X_6,converse(X0)),X_14)) = composition(converse(X_14),join(converse(X_6),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_6,converse(X0)),X_14)),composition(converse(X_14),converse(join(X_6,converse(X0))))) ),[1,1],$fot(join(converse(X_6),X0))]]) ).
cnf(refute_0_8683,plain,
( converse(composition(join(X_6,converse(X0)),X_14)) != composition(converse(X_14),converse(join(X_6,converse(X0))))
| converse(composition(join(X_6,converse(X0)),X_14)) = composition(converse(X_14),join(converse(X_6),X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_6,converse(X0))),join(converse(X_6),X0)) )],[refute_0_425,refute_0_8682]) ).
cnf(refute_0_8684,plain,
converse(composition(join(X_6,converse(X0)),X_14)) = composition(converse(X_14),join(converse(X_6),X0)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_6,converse(X0)),X_14)),composition(converse(X_14),converse(join(X_6,converse(X0))))) )],[refute_0_8681,refute_0_8683]) ).
cnf(refute_0_8685,plain,
converse(composition(join(X_390,converse(X_388)),X_389)) = composition(converse(X_389),join(converse(X_390),X_388)),
inference(subst,[],[refute_0_8684:[bind(X0,$fot(X_388)),bind(X_14,$fot(X_389)),bind(X_6,$fot(X_390))]]) ).
cnf(refute_0_8686,plain,
join(converse(X_388),X_390) = join(X_390,converse(X_388)),
inference(subst,[],[refute_0_49:[bind(X0,$fot(converse(X_388))),bind(X1,$fot(X_390))]]) ).
cnf(refute_0_8687,plain,
( join(converse(X_388),X_390) != join(X_390,converse(X_388))
| join(X_390,converse(X_388)) = join(converse(X_388),X_390) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(converse(X_388),X_390))),bind(Y,$fot(join(X_390,converse(X_388))))]]) ).
cnf(refute_0_8688,plain,
join(X_390,converse(X_388)) = join(converse(X_388),X_390),
inference(resolve,[$cnf( $equal(join(converse(X_388),X_390),join(X_390,converse(X_388))) )],[refute_0_8686,refute_0_8687]) ).
cnf(refute_0_8689,plain,
( converse(composition(join(X_390,converse(X_388)),X_389)) != composition(converse(X_389),join(converse(X_390),X_388))
| join(X_390,converse(X_388)) != join(converse(X_388),X_390)
| converse(composition(join(converse(X_388),X_390),X_389)) = composition(converse(X_389),join(converse(X_390),X_388)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_390,converse(X_388)),X_389)),composition(converse(X_389),join(converse(X_390),X_388))) ),[0,0,0],$fot(join(converse(X_388),X_390))]]) ).
cnf(refute_0_8690,plain,
( converse(composition(join(X_390,converse(X_388)),X_389)) != composition(converse(X_389),join(converse(X_390),X_388))
| converse(composition(join(converse(X_388),X_390),X_389)) = composition(converse(X_389),join(converse(X_390),X_388)) ),
inference(resolve,[$cnf( $equal(join(X_390,converse(X_388)),join(converse(X_388),X_390)) )],[refute_0_8688,refute_0_8689]) ).
cnf(refute_0_8691,plain,
converse(composition(join(converse(X_388),X_390),X_389)) = composition(converse(X_389),join(converse(X_390),X_388)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_390,converse(X_388)),X_389)),composition(converse(X_389),join(converse(X_390),X_388))) )],[refute_0_8685,refute_0_8690]) ).
cnf(refute_0_8692,plain,
( converse(composition(join(X_6,converse(X0)),X_14)) != composition(converse(X_14),join(converse(X_6),X0))
| composition(converse(X_14),join(converse(X_6),X0)) = converse(composition(join(X_6,converse(X0)),X_14)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(join(X_6,converse(X0)),X_14)))),bind(Y,$fot(composition(converse(X_14),join(converse(X_6),X0))))]]) ).
cnf(refute_0_8693,plain,
composition(converse(X_14),join(converse(X_6),X0)) = converse(composition(join(X_6,converse(X0)),X_14)),
inference(resolve,[$cnf( $equal(converse(composition(join(X_6,converse(X0)),X_14)),composition(converse(X_14),join(converse(X_6),X0))) )],[refute_0_8684,refute_0_8692]) ).
cnf(refute_0_8694,plain,
composition(converse(X_389),join(converse(X_390),X_388)) = converse(composition(join(X_390,converse(X_388)),X_389)),
inference(subst,[],[refute_0_8693:[bind(X0,$fot(X_388)),bind(X_14,$fot(X_389)),bind(X_6,$fot(X_390))]]) ).
cnf(refute_0_8695,plain,
( composition(converse(X_389),join(converse(X_390),X_388)) != converse(composition(join(X_390,converse(X_388)),X_389))
| converse(composition(join(converse(X_388),X_390),X_389)) != composition(converse(X_389),join(converse(X_390),X_388))
| converse(composition(join(converse(X_388),X_390),X_389)) = converse(composition(join(X_390,converse(X_388)),X_389)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(X_388),X_390),X_389)),composition(converse(X_389),join(converse(X_390),X_388))) ),[1],$fot(converse(composition(join(X_390,converse(X_388)),X_389)))]]) ).
cnf(refute_0_8696,plain,
( converse(composition(join(converse(X_388),X_390),X_389)) != composition(converse(X_389),join(converse(X_390),X_388))
| converse(composition(join(converse(X_388),X_390),X_389)) = converse(composition(join(X_390,converse(X_388)),X_389)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_389),join(converse(X_390),X_388)),converse(composition(join(X_390,converse(X_388)),X_389))) )],[refute_0_8694,refute_0_8695]) ).
cnf(refute_0_8697,plain,
converse(composition(join(converse(X_388),X_390),X_389)) = converse(composition(join(X_390,converse(X_388)),X_389)),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(X_388),X_390),X_389)),composition(converse(X_389),join(converse(X_390),X_388))) )],[refute_0_8691,refute_0_8696]) ).
cnf(refute_0_8698,plain,
converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) = converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)),
inference(subst,[],[refute_0_8697:[bind(X_388,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X_389,$fot(X_14)),bind(X_390,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8699,plain,
( converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) != converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14))
| converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) != converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14))
| converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)))),bind(Y,$fot(converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)))),bind(Z,$fot(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14))))]]) ).
cnf(refute_0_8700,plain,
( converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)) != converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14))
| converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)),converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14))) )],[refute_0_8698,refute_0_8699]) ).
cnf(refute_0_8701,plain,
converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)),
inference(resolve,[$cnf( $equal(converse(composition(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),X_14)),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14))) )],[refute_0_8680,refute_0_8700]) ).
cnf(refute_0_8702,plain,
( converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) != composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0))))
| converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) != converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14))
| converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) = composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)),composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)))]]) ).
cnf(refute_0_8703,plain,
( converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)) != composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0))))
| converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) = composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14))) )],[refute_0_8701,refute_0_8702]) ).
cnf(refute_0_8704,plain,
converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) = composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_14)),composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8672,refute_0_8703]) ).
cnf(refute_0_8705,plain,
( converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) != composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0))))
| composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)))),bind(Y,$fot(composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8706,plain,
composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),X_14)),composition(converse(X_14),complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8704,refute_0_8705]) ).
cnf(refute_0_8707,plain,
composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_8706:[bind(X_14,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8708,plain,
composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8709,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8710,plain,
( composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))
| composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8708,refute_0_8709]) ).
cnf(refute_0_8711,plain,
composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) )],[refute_0_8707,refute_0_8710]) ).
cnf(refute_0_8712,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))
| composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),zero) ),[0],$fot(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8713,plain,
( composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != zero
| composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) )],[refute_0_8711,refute_0_8712]) ).
cnf(refute_0_8714,plain,
composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) = zero,
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),composition(converse(skolemFOFtoCNF_X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8392,refute_0_8713]) ).
cnf(refute_0_8715,plain,
( composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))) != zero
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_8716,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))
| converse(zero) = composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),zero) )],[refute_0_8714,refute_0_8715]) ).
cnf(refute_0_8717,plain,
converse(zero) = composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_7531,refute_0_8716]) ).
cnf(refute_0_8718,plain,
( converse(zero) != composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))
| converse(zero) != zero
| zero = composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_8719,plain,
( converse(zero) != composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))
| zero = composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_527,refute_0_8718]) ).
cnf(refute_0_8720,plain,
composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8721,plain,
( composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(converse(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(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8722,plain,
( converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_8720,refute_0_8721]) ).
cnf(refute_0_8723,plain,
composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_7484,refute_0_8722]) ).
cnf(refute_0_8724,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8725,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8726,plain,
( composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_8724,refute_0_8725]) ).
cnf(refute_0_8727,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_8723,refute_0_8726]) ).
cnf(refute_0_8728,plain,
composition(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_954:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(converse(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8729,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = composition(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_450:[bind(X0,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),bind(X_13,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8730,plain,
( composition(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != composition(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8731,plain,
( composition(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),composition(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_8729,refute_0_8730]) ).
cnf(refute_0_8732,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0),converse(complement(skolemFOFtoCNF_X0))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_8728,refute_0_8731]) ).
cnf(refute_0_8733,plain,
composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) = converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_760:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8734,plain,
( composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) != converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))
| composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8735,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))
| composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))),converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))))) )],[refute_0_8733,refute_0_8734]) ).
cnf(refute_0_8736,plain,
composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_8732,refute_0_8735]) ).
cnf(refute_0_8737,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))
| composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8738,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))) )],[refute_0_8736,refute_0_8737]) ).
cnf(refute_0_8739,plain,
composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8727,refute_0_8738]) ).
cnf(refute_0_8740,plain,
( composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| zero != composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))
| zero = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) ),[1],$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8741,plain,
( zero != composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))
| zero = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8739,refute_0_8740]) ).
cnf(refute_0_8742,plain,
( converse(zero) != composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))
| zero = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_8719,refute_0_8741]) ).
cnf(refute_0_8743,plain,
zero = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(converse(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X0))),converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_8717,refute_0_8742]) ).
cnf(refute_0_8744,plain,
( zero != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8745,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8743,refute_0_8744]) ).
cnf(refute_0_8746,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != zero
| join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_8747,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_8745,refute_0_8746]) ).
cnf(refute_0_8748,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_7530,refute_0_8747]) ).
cnf(refute_0_8749,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,top))),bind(X1,$fot(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8750,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))),
inference(subst,[],[refute_0_8543:[bind(X0,$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8751,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(composition(top,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)))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))) ),[1,1,0,0,0,0,0],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8752,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_7947,refute_0_8751]) ).
cnf(refute_0_8753,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(composition(top,complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))) )],[refute_0_8750,refute_0_8752]) ).
cnf(refute_0_8754,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) = complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_3760:[bind(X2,$fot(complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8755,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) != complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(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))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) ),[0],$fot(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8756,plain,
( composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(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))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top),complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_8754,refute_0_8755]) ).
cnf(refute_0_8757,plain,
complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),top),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) )],[refute_0_8753,refute_0_8756]) ).
cnf(refute_0_8758,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) ),[0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8759,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8356,refute_0_8758]) ).
cnf(refute_0_8760,plain,
composition(complement(composition(top,X_346)),top) = composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(composition(top,complement(composition(top,X_346))))))))),
inference(subst,[],[refute_0_8543:[bind(X0,$fot(complement(composition(top,X_346))))]]) ).
cnf(refute_0_8761,plain,
composition(top,complement(composition(top,X_346))) = complement(composition(top,X_346)),
inference(subst,[],[refute_0_1504:[bind(X_192,$fot(X_346))]]) ).
cnf(refute_0_8762,plain,
( composition(complement(composition(top,X_346)),top) != composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(composition(top,complement(composition(top,X_346)))))))))
| composition(top,complement(composition(top,X_346))) != complement(composition(top,X_346))
| composition(complement(composition(top,X_346)),top) = composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(complement(composition(top,X_346)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,X_346)),top),composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(composition(top,complement(composition(top,X_346)))))))))) ),[1,1,0,0,0,0,0],$fot(complement(composition(top,X_346)))]]) ).
cnf(refute_0_8763,plain,
( composition(complement(composition(top,X_346)),top) != composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(composition(top,complement(composition(top,X_346)))))))))
| composition(complement(composition(top,X_346)),top) = composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(complement(composition(top,X_346)))))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X_346))),complement(composition(top,X_346))) )],[refute_0_8761,refute_0_8762]) ).
cnf(refute_0_8764,plain,
composition(complement(composition(top,X_346)),top) = composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(complement(composition(top,X_346)))))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_346)),top),composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(composition(top,complement(composition(top,X_346)))))))))) )],[refute_0_8760,refute_0_8763]) ).
cnf(refute_0_8765,plain,
( composition(complement(composition(top,X_346)),top) != composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(complement(composition(top,X_346))))))))
| composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(complement(composition(top,X_346)))))))) = composition(complement(composition(top,X_346)),top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(complement(composition(top,X_346)),top))),bind(Y,$fot(composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(complement(composition(top,X_346))))))))))]]) ).
cnf(refute_0_8766,plain,
composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(complement(composition(top,X_346)))))))) = composition(complement(composition(top,X_346)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,X_346)),top),composition(complement(composition(top,X_346)),converse(complement(converse(complement(converse(complement(composition(top,X_346))))))))) )],[refute_0_8764,refute_0_8765]) ).
cnf(refute_0_8767,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top),
inference(subst,[],[refute_0_8766:[bind(X_346,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_8768,plain,
converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8769,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))
| converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) ),[1,0],$fot(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8770,plain,
( complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))) != complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) )],[refute_0_8768,refute_0_8769]) ).
cnf(refute_0_8771,plain,
converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) = converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))),complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8555,refute_0_8770]) ).
cnf(refute_0_8772,plain,
complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))]]) ).
cnf(refute_0_8773,plain,
( complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))
| converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) ),[1,0],$fot(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8774,plain,
( converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))) != converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) )],[refute_0_8772,refute_0_8773]) ).
cnf(refute_0_8775,plain,
complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) = complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))),converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8771,refute_0_8774]) ).
cnf(refute_0_8776,plain,
converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_8777,plain,
( complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))
| converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) != converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))
| converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),[1,0],$fot(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8778,plain,
( complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))) != complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))
| converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) )],[refute_0_8776,refute_0_8777]) ).
cnf(refute_0_8779,plain,
converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) = converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))),complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))) )],[refute_0_8775,refute_0_8778]) ).
cnf(refute_0_8780,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))]]) ).
cnf(refute_0_8781,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))
| converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) != converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) ),[1,1],$fot(converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))))]]) ).
cnf(refute_0_8782,plain,
( converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))) != converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) )],[refute_0_8780,refute_0_8781]) ).
cnf(refute_0_8783,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))) )],[refute_0_8779,refute_0_8782]) ).
cnf(refute_0_8784,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),
introduced(tautology,[refl,[$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))]]) ).
cnf(refute_0_8785,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8786,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) )],[refute_0_8784,refute_0_8785]) ).
cnf(refute_0_8787,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8356,refute_0_8786]) ).
cnf(refute_0_8788,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))),bind(Y,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))),bind(Z,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))))))]]) ).
cnf(refute_0_8789,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) )],[refute_0_8787,refute_0_8788]) ).
cnf(refute_0_8790,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_8783,refute_0_8789]) ).
cnf(refute_0_8791,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))),bind(Y,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))))),bind(Z,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_8792,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))))) )],[refute_0_8790,refute_0_8791]) ).
cnf(refute_0_8793,plain,
composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(converse(complement(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_8767,refute_0_8792]) ).
cnf(refute_0_8794,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))
| composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)
| complement(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)) ),[0],$fot(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))))]]) ).
cnf(refute_0_8795,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))))))))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_8793,refute_0_8794]) ).
cnf(refute_0_8796,plain,
( complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))) != composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))
| complement(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) )],[refute_0_8759,refute_0_8795]) ).
cnf(refute_0_8797,plain,
complement(composition(top,complement(skolemFOFtoCNF_X0))) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),composition(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0))))),converse(complement(converse(complement(converse(complement(converse(composition(top,complement(converse(skolemFOFtoCNF_X0)))))))))))) )],[refute_0_8757,refute_0_8796]) ).
cnf(refute_0_8798,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0))) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_8799,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0))),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_8797,refute_0_8798]) ).
cnf(refute_0_8800,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)))]]) ).
cnf(refute_0_8801,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero))
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_8802,plain,
( complement(zero) != top
| composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero))) )],[refute_0_8800,refute_0_8801]) ).
cnf(refute_0_8803,plain,
composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_8802]) ).
cnf(refute_0_8804,plain,
converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2660:[bind(X_6,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X_7,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8805,plain,
( converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))),converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8806,plain,
( converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8669,refute_0_8805]) ).
cnf(refute_0_8807,plain,
converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))),converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8804,refute_0_8806]) ).
cnf(refute_0_8808,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1844:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8809,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(X_64,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_1275:[bind(X_63,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X_65,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8810,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(X_64,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(X_64,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8811,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(X_64,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8669,refute_0_8810]) ).
cnf(refute_0_8812,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(X_64,join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8809,refute_0_8811]) ).
cnf(refute_0_8813,plain,
converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) = join(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),X0),
inference(subst,[],[refute_0_814:[bind(X_63,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X_64,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8814,plain,
( converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) != join(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),X0)
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) = join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))),join(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),X0)) ),[1,0,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8815,plain,
( converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) != join(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),X0)
| converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) = join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8669,refute_0_8814]) ).
cnf(refute_0_8816,plain,
converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) = join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))),join(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),X0)) )],[refute_0_8813,refute_0_8815]) ).
cnf(refute_0_8817,plain,
converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_413:[bind(X_7,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8818,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8819,plain,
( converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8820,plain,
( converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8818,refute_0_8819]) ).
cnf(refute_0_8821,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8817,refute_0_8820]) ).
cnf(refute_0_8822,plain,
converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_841:[bind(X_179,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X_180,$fot(converse(X0))),bind(X_181,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8823,plain,
( converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))))),bind(Y,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))))]]) ).
cnf(refute_0_8824,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8822,refute_0_8823]) ).
cnf(refute_0_8825,plain,
converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(join(converse(X0),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8821,refute_0_8824]) ).
cnf(refute_0_8826,plain,
( converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) != join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0)
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0)) ),[0],$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_8827,plain,
( converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))) != join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0)
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8825,refute_0_8826]) ).
cnf(refute_0_8828,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X0,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),converse(X0)))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X0)) )],[refute_0_8816,refute_0_8827]) ).
cnf(refute_0_8829,plain,
join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_64),
inference(subst,[],[refute_0_8828:[bind(X0,$fot(X_64))]]) ).
cnf(refute_0_8830,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_64)
| join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_64) = join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_64))]]) ).
cnf(refute_0_8831,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0))))
| join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_64) = join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_64)) )],[refute_0_8829,refute_0_8830]) ).
cnf(refute_0_8832,plain,
join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),X_64) = join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),join(X_64,converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(X_64,complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8812,refute_0_8831]) ).
cnf(refute_0_8833,plain,
join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = join(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_8832:[bind(X_64,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8834,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != join(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(top,complement(skolemFOFtoCNF_X0))))
| join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8835,plain,
( join(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),join(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8833,refute_0_8834]) ).
cnf(refute_0_8836,plain,
join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8808,refute_0_8835]) ).
cnf(refute_0_8837,plain,
converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_425:[bind(X0,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(X_6,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8838,plain,
( converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))
| join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Y,$fot(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8839,plain,
( join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8837,refute_0_8838]) ).
cnf(refute_0_8840,plain,
converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8836,refute_0_8839]) ).
cnf(refute_0_8841,plain,
( converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))
| converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8842,plain,
( converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))),converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))) )],[refute_0_8804,refute_0_8841]) ).
cnf(refute_0_8843,plain,
converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(join(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8840,refute_0_8842]) ).
cnf(refute_0_8844,plain,
( converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| complement(composition(top,complement(skolemFOFtoCNF_X0))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) ),[0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8845,plain,
( converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| complement(composition(top,complement(skolemFOFtoCNF_X0))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8843,refute_0_8844]) ).
cnf(refute_0_8846,plain,
complement(composition(top,complement(skolemFOFtoCNF_X0))) = converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0))))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8807,refute_0_8845]) ).
cnf(refute_0_8847,plain,
( complement(composition(top,complement(skolemFOFtoCNF_X0))) != converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))
| converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8848,plain,
converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(skolemFOFtoCNF_X0))),converse(complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8846,refute_0_8847]) ).
cnf(refute_0_8849,plain,
composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))]]) ).
cnf(refute_0_8850,plain,
( composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) != composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))
| converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) ),[1,0],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8851,plain,
( converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) )],[refute_0_8849,refute_0_8850]) ).
cnf(refute_0_8852,plain,
composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8848,refute_0_8851]) ).
cnf(refute_0_8853,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)
| composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero))
| composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)))]]) ).
cnf(refute_0_8854,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)
| composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero))) )],[refute_0_8852,refute_0_8853]) ).
cnf(refute_0_8855,plain,
composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),complement(zero)),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_8803,refute_0_8854]) ).
cnf(refute_0_8856,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) != composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)
| composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top))),bind(Z,$fot(complement(composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8857,plain,
( composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = complement(composition(top,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)),composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top)) )],[refute_0_8855,refute_0_8856]) ).
cnf(refute_0_8858,plain,
composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) = complement(composition(top,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,complement(skolemFOFtoCNF_X0))),top),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8799,refute_0_8857]) ).
cnf(refute_0_8859,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))]]) ).
cnf(refute_0_8860,plain,
( composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) ),[1,1],$fot(complement(composition(top,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_8861,plain,
( composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)) != complement(composition(top,complement(skolemFOFtoCNF_X0)))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) )],[refute_0_8859,refute_0_8860]) ).
cnf(refute_0_8862,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)),complement(composition(top,complement(skolemFOFtoCNF_X0)))) )],[refute_0_8858,refute_0_8861]) ).
cnf(refute_0_8863,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0)))))),bind(Z,$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_8864,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0)))) != complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8862,refute_0_8863]) ).
cnf(refute_0_8865,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8749,refute_0_8864]) ).
cnf(refute_0_8866,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))))]]) ).
cnf(refute_0_8867,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) != complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) != join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) = join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))),join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))) ),[1,1],$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8868,plain,
( join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) != complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) = join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))),join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))) )],[refute_0_8866,refute_0_8867]) ).
cnf(refute_0_8869,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) = join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) )],[refute_0_8865,refute_0_8868]) ).
cnf(refute_0_8870,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) = join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_8871,plain,
complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_2980:[bind(X_54,$fot(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),bind(X_55,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_8872,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_4350:[bind(X_24,$fot(skolemFOFtoCNF_X0)),bind(X_25,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8873,plain,
meet(complement(X_27),meet(X_27,X_627)) = complement(join(X_27,complement(meet(X_27,X_627)))),
inference(subst,[],[refute_0_1181:[bind(X1,$fot(meet(X_27,X_627)))]]) ).
cnf(refute_0_8874,plain,
join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),complement(meet(X_625,X_624)))) = top,
inference(subst,[],[refute_0_3457:[bind(X_31,$fot(meet(X_625,X_624))),bind(X_65,$fot(meet(X_625,complement(X_624))))]]) ).
cnf(refute_0_8875,plain,
join(meet(X_31,X1),join(meet(X_31,complement(X1)),X_65)) = join(join(meet(X_31,X1),meet(X_31,complement(X1))),X_65),
inference(subst,[],[refute_0_46:[bind(X0,$fot(meet(X_31,X1))),bind(X1,$fot(meet(X_31,complement(X1)))),bind(X2,$fot(X_65))]]) ).
cnf(refute_0_8876,plain,
( X_31 != join(meet(X_31,X1),meet(X_31,complement(X1)))
| join(meet(X_31,X1),meet(X_31,complement(X1))) = X_31 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_31)),bind(Y,$fot(join(meet(X_31,X1),meet(X_31,complement(X1)))))]]) ).
cnf(refute_0_8877,plain,
join(meet(X_31,X1),meet(X_31,complement(X1))) = X_31,
inference(resolve,[$cnf( $equal(X_31,join(meet(X_31,X1),meet(X_31,complement(X1)))) )],[refute_0_618,refute_0_8876]) ).
cnf(refute_0_8878,plain,
( join(meet(X_31,X1),join(meet(X_31,complement(X1)),X_65)) != join(join(meet(X_31,X1),meet(X_31,complement(X1))),X_65)
| join(meet(X_31,X1),meet(X_31,complement(X1))) != X_31
| join(meet(X_31,X1),join(meet(X_31,complement(X1)),X_65)) = join(X_31,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_31,X1),join(meet(X_31,complement(X1)),X_65)),join(join(meet(X_31,X1),meet(X_31,complement(X1))),X_65)) ),[1,0],$fot(X_31)]]) ).
cnf(refute_0_8879,plain,
( join(meet(X_31,X1),join(meet(X_31,complement(X1)),X_65)) != join(join(meet(X_31,X1),meet(X_31,complement(X1))),X_65)
| join(meet(X_31,X1),join(meet(X_31,complement(X1)),X_65)) = join(X_31,X_65) ),
inference(resolve,[$cnf( $equal(join(meet(X_31,X1),meet(X_31,complement(X1))),X_31) )],[refute_0_8877,refute_0_8878]) ).
cnf(refute_0_8880,plain,
join(meet(X_31,X1),join(meet(X_31,complement(X1)),X_65)) = join(X_31,X_65),
inference(resolve,[$cnf( $equal(join(meet(X_31,X1),join(meet(X_31,complement(X1)),X_65)),join(join(meet(X_31,X1),meet(X_31,complement(X1))),X_65)) )],[refute_0_8875,refute_0_8879]) ).
cnf(refute_0_8881,plain,
join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),complement(meet(X_625,X_624)))) = join(X_625,complement(meet(X_625,X_624))),
inference(subst,[],[refute_0_8880:[bind(X1,$fot(X_624)),bind(X_31,$fot(X_625)),bind(X_65,$fot(complement(meet(X_625,X_624))))]]) ).
cnf(refute_0_8882,plain,
( join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),complement(meet(X_625,X_624)))) != join(X_625,complement(meet(X_625,X_624)))
| join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),complement(meet(X_625,X_624)))) != top
| join(X_625,complement(meet(X_625,X_624))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),complement(meet(X_625,X_624)))),top) ),[0],$fot(join(X_625,complement(meet(X_625,X_624))))]]) ).
cnf(refute_0_8883,plain,
( join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),complement(meet(X_625,X_624)))) != top
| join(X_625,complement(meet(X_625,X_624))) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),complement(meet(X_625,X_624)))),join(X_625,complement(meet(X_625,X_624)))) )],[refute_0_8881,refute_0_8882]) ).
cnf(refute_0_8884,plain,
join(X_625,complement(meet(X_625,X_624))) = top,
inference(resolve,[$cnf( $equal(join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),complement(meet(X_625,X_624)))),top) )],[refute_0_8874,refute_0_8883]) ).
cnf(refute_0_8885,plain,
join(X_27,complement(meet(X_27,X_627))) = top,
inference(subst,[],[refute_0_8884:[bind(X_624,$fot(X_627)),bind(X_625,$fot(X_27))]]) ).
cnf(refute_0_8886,plain,
( join(X_27,complement(meet(X_27,X_627))) != top
| meet(complement(X_27),meet(X_27,X_627)) != complement(join(X_27,complement(meet(X_27,X_627))))
| meet(complement(X_27),meet(X_27,X_627)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_27),meet(X_27,X_627)),complement(join(X_27,complement(meet(X_27,X_627))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_8887,plain,
( meet(complement(X_27),meet(X_27,X_627)) != complement(join(X_27,complement(meet(X_27,X_627))))
| meet(complement(X_27),meet(X_27,X_627)) = complement(top) ),
inference(resolve,[$cnf( $equal(join(X_27,complement(meet(X_27,X_627))),top) )],[refute_0_8885,refute_0_8886]) ).
cnf(refute_0_8888,plain,
meet(complement(X_27),meet(X_27,X_627)) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(X_27),meet(X_27,X_627)),complement(join(X_27,complement(meet(X_27,X_627))))) )],[refute_0_8873,refute_0_8887]) ).
cnf(refute_0_8889,plain,
( complement(top) != zero
| meet(complement(X_27),meet(X_27,X_627)) != complement(top)
| meet(complement(X_27),meet(X_27,X_627)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_27),meet(X_27,X_627)),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_8890,plain,
( meet(complement(X_27),meet(X_27,X_627)) != complement(top)
| meet(complement(X_27),meet(X_27,X_627)) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8889]) ).
cnf(refute_0_8891,plain,
meet(complement(X_27),meet(X_27,X_627)) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_27),meet(X_27,X_627)),complement(top)) )],[refute_0_8888,refute_0_8890]) ).
cnf(refute_0_8892,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = zero,
inference(subst,[],[refute_0_8891:[bind(X_27,$fot(complement(skolemFOFtoCNF_X0))),bind(X_627,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8893,plain,
complement(complement(X_384)) = join(complement(join(complement(X_384),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(complement(X_384))),bind(X_32,$fot(join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))]]) ).
cnf(refute_0_8894,plain,
join(complement(X_149),join(complement(one),join(meet(X_149,one),meet(one,complement(skolemFOFtoCNF_X0))))) = top,
inference(subst,[],[refute_0_5946:[bind(X2,$fot(meet(one,complement(skolemFOFtoCNF_X0)))),bind(X_150,$fot(one))]]) ).
cnf(refute_0_8895,plain,
join(complement(one),join(meet(X_149,one),meet(one,complement(skolemFOFtoCNF_X0)))) = join(complement(skolemFOFtoCNF_X0),meet(X_149,one)),
inference(subst,[],[refute_0_3907:[bind(X_224,$fot(meet(X_149,one)))]]) ).
cnf(refute_0_8896,plain,
( join(complement(X_149),join(complement(one),join(meet(X_149,one),meet(one,complement(skolemFOFtoCNF_X0))))) != top
| join(complement(one),join(meet(X_149,one),meet(one,complement(skolemFOFtoCNF_X0)))) != join(complement(skolemFOFtoCNF_X0),meet(X_149,one))
| join(complement(X_149),join(complement(skolemFOFtoCNF_X0),meet(X_149,one))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_149),join(complement(one),join(meet(X_149,one),meet(one,complement(skolemFOFtoCNF_X0))))),top) ),[0,1],$fot(join(complement(skolemFOFtoCNF_X0),meet(X_149,one)))]]) ).
cnf(refute_0_8897,plain,
( join(complement(X_149),join(complement(one),join(meet(X_149,one),meet(one,complement(skolemFOFtoCNF_X0))))) != top
| join(complement(X_149),join(complement(skolemFOFtoCNF_X0),meet(X_149,one))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),join(meet(X_149,one),meet(one,complement(skolemFOFtoCNF_X0)))),join(complement(skolemFOFtoCNF_X0),meet(X_149,one))) )],[refute_0_8895,refute_0_8896]) ).
cnf(refute_0_8898,plain,
join(complement(X_149),join(complement(skolemFOFtoCNF_X0),meet(X_149,one))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_149),join(complement(one),join(meet(X_149,one),meet(one,complement(skolemFOFtoCNF_X0))))),top) )],[refute_0_8894,refute_0_8897]) ).
cnf(refute_0_8899,plain,
join(complement(X_384),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) = top,
inference(subst,[],[refute_0_8898:[bind(X_149,$fot(X_384))]]) ).
cnf(refute_0_8900,plain,
( complement(complement(X_384)) != join(complement(join(complement(X_384),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| join(complement(X_384),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) != top
| complement(complement(X_384)) = join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_384)),join(complement(join(complement(X_384),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_8901,plain,
( complement(complement(X_384)) != join(complement(join(complement(X_384),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| complement(complement(X_384)) = join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_384),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),top) )],[refute_0_8899,refute_0_8900]) ).
cnf(refute_0_8902,plain,
complement(complement(X_384)) = join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),
inference(resolve,[$cnf( $equal(complement(complement(X_384)),join(complement(join(complement(X_384),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) )],[refute_0_8893,refute_0_8901]) ).
cnf(refute_0_8903,plain,
complement(complement(X_384)) = X_384,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_384))]]) ).
cnf(refute_0_8904,plain,
( complement(complement(X_384)) != X_384
| complement(complement(X_384)) != join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| X_384 = join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_384)),join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) ),[0],$fot(X_384)]]) ).
cnf(refute_0_8905,plain,
( complement(complement(X_384)) != join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| X_384 = join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_384)),X_384) )],[refute_0_8903,refute_0_8904]) ).
cnf(refute_0_8906,plain,
join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),
inference(subst,[],[refute_0_178:[bind(X_31,$fot(meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))]]) ).
cnf(refute_0_8907,plain,
meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) = meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))]]) ).
cnf(refute_0_8908,plain,
( complement(complement(X_384)) != X_384
| meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) != meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))
| meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),[1,0],$fot(X_384)]]) ).
cnf(refute_0_8909,plain,
( complement(complement(X_384)) != X_384
| meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) )],[refute_0_8907,refute_0_8908]) ).
cnf(refute_0_8910,plain,
meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),
inference(resolve,[$cnf( $equal(complement(complement(X_384)),X_384) )],[refute_0_8903,refute_0_8909]) ).
cnf(refute_0_8911,plain,
join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))]]) ).
cnf(refute_0_8912,plain,
( join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) != meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))
| join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) ),[1,1],$fot(meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))]]) ).
cnf(refute_0_8913,plain,
( meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) != meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))
| join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) )],[refute_0_8911,refute_0_8912]) ).
cnf(refute_0_8914,plain,
join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) )],[refute_0_8910,refute_0_8913]) ).
cnf(refute_0_8915,plain,
join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))]]) ).
cnf(refute_0_8916,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_8917,plain,
( complement(top) != zero
| join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) )],[refute_0_8915,refute_0_8916]) ).
cnf(refute_0_8918,plain,
join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_8917]) ).
cnf(refute_0_8919,plain,
( join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))),bind(Y,$fot(join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))),bind(Z,$fot(join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))))]]) ).
cnf(refute_0_8920,plain,
( join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) )],[refute_0_8918,refute_0_8919]) ).
cnf(refute_0_8921,plain,
join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) )],[refute_0_8914,refute_0_8920]) ).
cnf(refute_0_8922,plain,
( join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))
| join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))),bind(Y,$fot(join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))),bind(Z,$fot(meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))]]) ).
cnf(refute_0_8923,plain,
( join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))
| join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) )],[refute_0_8921,refute_0_8922]) ).
cnf(refute_0_8924,plain,
join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) )],[refute_0_8906,refute_0_8923]) ).
cnf(refute_0_8925,plain,
( X_384 != join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) != meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))
| X_384 = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_384,meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) ),[0],$fot(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))))]]) ).
cnf(refute_0_8926,plain,
( X_384 != join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| X_384 = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))),meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one)))) )],[refute_0_8924,refute_0_8925]) ).
cnf(refute_0_8927,plain,
( complement(complement(X_384)) != join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))
| X_384 = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))) ),
inference(resolve,[$cnf( $equal(X_384,join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) )],[refute_0_8905,refute_0_8926]) ).
cnf(refute_0_8928,plain,
X_384 = meet(X_384,join(complement(skolemFOFtoCNF_X0),meet(X_384,one))),
inference(resolve,[$cnf( $equal(complement(complement(X_384)),join(complement(top),meet(complement(complement(X_384)),join(complement(skolemFOFtoCNF_X0),meet(X_384,one))))) )],[refute_0_8902,refute_0_8927]) ).
cnf(refute_0_8929,plain,
X_522 = meet(X_522,join(complement(skolemFOFtoCNF_X0),meet(X_522,one))),
inference(subst,[],[refute_0_8928:[bind(X_384,$fot(X_522))]]) ).
cnf(refute_0_8930,plain,
meet(one,X_522) = meet(X_522,one),
inference(subst,[],[refute_0_352:[bind(X_24,$fot(one)),bind(X_25,$fot(X_522))]]) ).
cnf(refute_0_8931,plain,
( meet(one,X_522) != meet(X_522,one)
| meet(X_522,one) = meet(one,X_522) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(one,X_522))),bind(Y,$fot(meet(X_522,one)))]]) ).
cnf(refute_0_8932,plain,
meet(X_522,one) = meet(one,X_522),
inference(resolve,[$cnf( $equal(meet(one,X_522),meet(X_522,one)) )],[refute_0_8930,refute_0_8931]) ).
cnf(refute_0_8933,plain,
( X_522 != meet(X_522,join(complement(skolemFOFtoCNF_X0),meet(X_522,one)))
| meet(X_522,one) != meet(one,X_522)
| X_522 = meet(X_522,join(complement(skolemFOFtoCNF_X0),meet(one,X_522))) ),
introduced(tautology,[equality,[$cnf( $equal(X_522,meet(X_522,join(complement(skolemFOFtoCNF_X0),meet(X_522,one)))) ),[1,1,1],$fot(meet(one,X_522))]]) ).
cnf(refute_0_8934,plain,
( X_522 != meet(X_522,join(complement(skolemFOFtoCNF_X0),meet(X_522,one)))
| X_522 = meet(X_522,join(complement(skolemFOFtoCNF_X0),meet(one,X_522))) ),
inference(resolve,[$cnf( $equal(meet(X_522,one),meet(one,X_522)) )],[refute_0_8932,refute_0_8933]) ).
cnf(refute_0_8935,plain,
X_522 = meet(X_522,join(complement(skolemFOFtoCNF_X0),meet(one,X_522))),
inference(resolve,[$cnf( $equal(X_522,meet(X_522,join(complement(skolemFOFtoCNF_X0),meet(X_522,one)))) )],[refute_0_8929,refute_0_8934]) ).
cnf(refute_0_8936,plain,
composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(subst,[],[refute_0_8935:[bind(X_522,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_8937,plain,
complement(join(converse(complement(one)),converse(X1))) = meet(one,complement(join(converse(complement(one)),converse(X1)))),
inference(subst,[],[refute_0_7572:[bind(X_366,$fot(converse(X1)))]]) ).
cnf(refute_0_8938,plain,
converse(join(complement(one),X1)) = join(converse(complement(one)),converse(X1)),
inference(subst,[],[refute_0_409:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_8939,plain,
( converse(join(complement(one),X1)) != join(converse(complement(one)),converse(X1))
| join(converse(complement(one)),converse(X1)) = converse(join(complement(one),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(converse(join(complement(one),X1)))),bind(Y,$fot(join(converse(complement(one)),converse(X1))))]]) ).
cnf(refute_0_8940,plain,
join(converse(complement(one)),converse(X1)) = converse(join(complement(one),X1)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),X1)),join(converse(complement(one)),converse(X1))) )],[refute_0_8938,refute_0_8939]) ).
cnf(refute_0_8941,plain,
( complement(join(converse(complement(one)),converse(X1))) != meet(one,complement(join(converse(complement(one)),converse(X1))))
| join(converse(complement(one)),converse(X1)) != converse(join(complement(one),X1))
| complement(join(converse(complement(one)),converse(X1))) = meet(one,complement(converse(join(complement(one),X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(one)),converse(X1))),meet(one,complement(join(converse(complement(one)),converse(X1))))) ),[1,1,0],$fot(converse(join(complement(one),X1)))]]) ).
cnf(refute_0_8942,plain,
( complement(join(converse(complement(one)),converse(X1))) != meet(one,complement(join(converse(complement(one)),converse(X1))))
| complement(join(converse(complement(one)),converse(X1))) = meet(one,complement(converse(join(complement(one),X1)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),converse(X1)),converse(join(complement(one),X1))) )],[refute_0_8940,refute_0_8941]) ).
cnf(refute_0_8943,plain,
complement(join(converse(complement(one)),converse(X1))) = meet(one,complement(converse(join(complement(one),X1)))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),converse(X1))),meet(one,complement(join(converse(complement(one)),converse(X1))))) )],[refute_0_8937,refute_0_8942]) ).
cnf(refute_0_8944,plain,
complement(join(converse(complement(one)),converse(X1))) = complement(join(converse(complement(one)),converse(X1))),
introduced(tautology,[refl,[$fot(complement(join(converse(complement(one)),converse(X1))))]]) ).
cnf(refute_0_8945,plain,
( complement(join(converse(complement(one)),converse(X1))) != complement(join(converse(complement(one)),converse(X1)))
| join(converse(complement(one)),converse(X1)) != converse(join(complement(one),X1))
| complement(join(converse(complement(one)),converse(X1))) = complement(converse(join(complement(one),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(one)),converse(X1))),complement(join(converse(complement(one)),converse(X1)))) ),[1,0],$fot(converse(join(complement(one),X1)))]]) ).
cnf(refute_0_8946,plain,
( join(converse(complement(one)),converse(X1)) != converse(join(complement(one),X1))
| complement(join(converse(complement(one)),converse(X1))) = complement(converse(join(complement(one),X1))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),converse(X1))),complement(join(converse(complement(one)),converse(X1)))) )],[refute_0_8944,refute_0_8945]) ).
cnf(refute_0_8947,plain,
complement(join(converse(complement(one)),converse(X1))) = complement(converse(join(complement(one),X1))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),converse(X1)),converse(join(complement(one),X1))) )],[refute_0_8940,refute_0_8946]) ).
cnf(refute_0_8948,plain,
( complement(join(converse(complement(one)),converse(X1))) != complement(converse(join(complement(one),X1)))
| complement(join(converse(complement(one)),converse(X1))) != meet(one,complement(converse(join(complement(one),X1))))
| complement(converse(join(complement(one),X1))) = meet(one,complement(converse(join(complement(one),X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(converse(complement(one)),converse(X1))),meet(one,complement(converse(join(complement(one),X1))))) ),[0],$fot(complement(converse(join(complement(one),X1))))]]) ).
cnf(refute_0_8949,plain,
( complement(join(converse(complement(one)),converse(X1))) != meet(one,complement(converse(join(complement(one),X1))))
| complement(converse(join(complement(one),X1))) = meet(one,complement(converse(join(complement(one),X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),converse(X1))),complement(converse(join(complement(one),X1)))) )],[refute_0_8947,refute_0_8948]) ).
cnf(refute_0_8950,plain,
complement(converse(join(complement(one),X1))) = meet(one,complement(converse(join(complement(one),X1)))),
inference(resolve,[$cnf( $equal(complement(join(converse(complement(one)),converse(X1))),meet(one,complement(converse(join(complement(one),X1))))) )],[refute_0_8943,refute_0_8949]) ).
cnf(refute_0_8951,plain,
complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = meet(one,complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))))),
inference(subst,[],[refute_0_8950:[bind(X1,$fot(converse(complement(converse(meet(complement(one),complement(X_639)))))))]]) ).
cnf(refute_0_8952,plain,
join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624))))))) = join(X_625,converse(complement(converse(meet(X_625,complement(X_624)))))),
inference(subst,[],[refute_0_8880:[bind(X1,$fot(X_624)),bind(X_31,$fot(X_625)),bind(X_65,$fot(converse(complement(converse(meet(X_625,complement(X_624)))))))]]) ).
cnf(refute_0_8953,plain,
top = join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624)))))),
inference(subst,[],[refute_0_3110:[bind(X_10,$fot(meet(X_625,complement(X_624))))]]) ).
cnf(refute_0_8954,plain,
( top != join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624))))))
| join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624))))))))]]) ).
cnf(refute_0_8955,plain,
join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624)))))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624))))))) )],[refute_0_8953,refute_0_8954]) ).
cnf(refute_0_8956,plain,
( join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624))))))) != join(X_625,converse(complement(converse(meet(X_625,complement(X_624))))))
| join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624)))))) != top
| join(meet(X_625,X_624),top) = join(X_625,converse(complement(converse(meet(X_625,complement(X_624)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624))))))),join(X_625,converse(complement(converse(meet(X_625,complement(X_624))))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_8957,plain,
( join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624))))))) != join(X_625,converse(complement(converse(meet(X_625,complement(X_624))))))
| join(meet(X_625,X_624),top) = join(X_625,converse(complement(converse(meet(X_625,complement(X_624)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624)))))),top) )],[refute_0_8955,refute_0_8956]) ).
cnf(refute_0_8958,plain,
join(meet(X_625,X_624),top) = join(X_625,converse(complement(converse(meet(X_625,complement(X_624)))))),
inference(resolve,[$cnf( $equal(join(meet(X_625,X_624),join(meet(X_625,complement(X_624)),converse(complement(converse(meet(X_625,complement(X_624))))))),join(X_625,converse(complement(converse(meet(X_625,complement(X_624))))))) )],[refute_0_8952,refute_0_8957]) ).
cnf(refute_0_8959,plain,
join(meet(X_625,X_624),top) = top,
inference(subst,[],[refute_0_1338:[bind(X_104,$fot(meet(X_625,X_624)))]]) ).
cnf(refute_0_8960,plain,
( join(meet(X_625,X_624),top) != join(X_625,converse(complement(converse(meet(X_625,complement(X_624))))))
| join(meet(X_625,X_624),top) != top
| top = join(X_625,converse(complement(converse(meet(X_625,complement(X_624)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_625,X_624),top),join(X_625,converse(complement(converse(meet(X_625,complement(X_624))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_8961,plain,
( join(meet(X_625,X_624),top) != join(X_625,converse(complement(converse(meet(X_625,complement(X_624))))))
| top = join(X_625,converse(complement(converse(meet(X_625,complement(X_624)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_625,X_624),top),top) )],[refute_0_8959,refute_0_8960]) ).
cnf(refute_0_8962,plain,
top = join(X_625,converse(complement(converse(meet(X_625,complement(X_624)))))),
inference(resolve,[$cnf( $equal(join(meet(X_625,X_624),top),join(X_625,converse(complement(converse(meet(X_625,complement(X_624))))))) )],[refute_0_8958,refute_0_8961]) ).
cnf(refute_0_8963,plain,
top = join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))),
inference(subst,[],[refute_0_8962:[bind(X_624,$fot(X_639)),bind(X_625,$fot(complement(one)))]]) ).
cnf(refute_0_8964,plain,
( top != join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))
| join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))))]]) ).
cnf(refute_0_8965,plain,
join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))) )],[refute_0_8963,refute_0_8964]) ).
cnf(refute_0_8966,plain,
( complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) != meet(one,complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))))
| join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))) != top
| complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = meet(one,complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),meet(one,complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_8967,plain,
( complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) != meet(one,complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))))
| complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = meet(one,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))),top) )],[refute_0_8965,refute_0_8966]) ).
cnf(refute_0_8968,plain,
complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = meet(one,complement(converse(top))),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),meet(one,complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))))) )],[refute_0_8951,refute_0_8967]) ).
cnf(refute_0_8969,plain,
complement(complement(meet(one,converse(complement(join(one,X_639)))))) = meet(one,converse(complement(join(one,X_639)))),
inference(subst,[],[refute_0_303:[bind(X0,$fot(meet(one,converse(complement(join(one,X_639))))))]]) ).
cnf(refute_0_8970,plain,
join(complement(one),complement(converse(complement(join(one,X_639))))) = complement(meet(one,converse(complement(join(one,X_639))))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(one)),bind(X1,$fot(converse(complement(join(one,X_639)))))]]) ).
cnf(refute_0_8971,plain,
meet(complement(one),complement(X_639)) = complement(join(one,X_639)),
inference(subst,[],[refute_0_7652:[bind(X0,$fot(X_639)),bind(X_601,$fot(one))]]) ).
cnf(refute_0_8972,plain,
converse(meet(complement(one),complement(X_639))) = converse(meet(complement(one),complement(X_639))),
introduced(tautology,[refl,[$fot(converse(meet(complement(one),complement(X_639))))]]) ).
cnf(refute_0_8973,plain,
( converse(meet(complement(one),complement(X_639))) != converse(meet(complement(one),complement(X_639)))
| meet(complement(one),complement(X_639)) != complement(join(one,X_639))
| converse(meet(complement(one),complement(X_639))) = converse(complement(join(one,X_639))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(meet(complement(one),complement(X_639))),converse(meet(complement(one),complement(X_639)))) ),[1,0],$fot(complement(join(one,X_639)))]]) ).
cnf(refute_0_8974,plain,
( meet(complement(one),complement(X_639)) != complement(join(one,X_639))
| converse(meet(complement(one),complement(X_639))) = converse(complement(join(one,X_639))) ),
inference(resolve,[$cnf( $equal(converse(meet(complement(one),complement(X_639))),converse(meet(complement(one),complement(X_639)))) )],[refute_0_8972,refute_0_8973]) ).
cnf(refute_0_8975,plain,
converse(meet(complement(one),complement(X_639))) = converse(complement(join(one,X_639))),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(X_639)),complement(join(one,X_639))) )],[refute_0_8971,refute_0_8974]) ).
cnf(refute_0_8976,plain,
complement(converse(meet(complement(one),complement(X_639)))) = complement(converse(meet(complement(one),complement(X_639)))),
introduced(tautology,[refl,[$fot(complement(converse(meet(complement(one),complement(X_639)))))]]) ).
cnf(refute_0_8977,plain,
( complement(converse(meet(complement(one),complement(X_639)))) != complement(converse(meet(complement(one),complement(X_639))))
| converse(meet(complement(one),complement(X_639))) != converse(complement(join(one,X_639)))
| complement(converse(meet(complement(one),complement(X_639)))) = complement(converse(complement(join(one,X_639)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(meet(complement(one),complement(X_639)))),complement(converse(meet(complement(one),complement(X_639))))) ),[1,0],$fot(converse(complement(join(one,X_639))))]]) ).
cnf(refute_0_8978,plain,
( converse(meet(complement(one),complement(X_639))) != converse(complement(join(one,X_639)))
| complement(converse(meet(complement(one),complement(X_639)))) = complement(converse(complement(join(one,X_639)))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(complement(one),complement(X_639)))),complement(converse(meet(complement(one),complement(X_639))))) )],[refute_0_8976,refute_0_8977]) ).
cnf(refute_0_8979,plain,
complement(converse(meet(complement(one),complement(X_639)))) = complement(converse(complement(join(one,X_639)))),
inference(resolve,[$cnf( $equal(converse(meet(complement(one),complement(X_639))),converse(complement(join(one,X_639)))) )],[refute_0_8975,refute_0_8978]) ).
cnf(refute_0_8980,plain,
join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(meet(complement(one),complement(X_639))))),
introduced(tautology,[refl,[$fot(join(complement(one),complement(converse(meet(complement(one),complement(X_639))))))]]) ).
cnf(refute_0_8981,plain,
( complement(converse(meet(complement(one),complement(X_639)))) != complement(converse(complement(join(one,X_639))))
| join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) != join(complement(one),complement(converse(meet(complement(one),complement(X_639)))))
| join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(complement(join(one,X_639))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),complement(converse(meet(complement(one),complement(X_639))))),join(complement(one),complement(converse(meet(complement(one),complement(X_639)))))) ),[1,1],$fot(complement(converse(complement(join(one,X_639)))))]]) ).
cnf(refute_0_8982,plain,
( complement(converse(meet(complement(one),complement(X_639)))) != complement(converse(complement(join(one,X_639))))
| join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(complement(join(one,X_639))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(meet(complement(one),complement(X_639))))),join(complement(one),complement(converse(meet(complement(one),complement(X_639)))))) )],[refute_0_8980,refute_0_8981]) ).
cnf(refute_0_8983,plain,
join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(complement(join(one,X_639))))),
inference(resolve,[$cnf( $equal(complement(converse(meet(complement(one),complement(X_639)))),complement(converse(complement(join(one,X_639))))) )],[refute_0_8979,refute_0_8982]) ).
cnf(refute_0_8984,plain,
join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))))]]) ).
cnf(refute_0_8985,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) != join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639)))))
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))),join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_8986,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))),join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639)))))) )],[refute_0_8984,refute_0_8985]) ).
cnf(refute_0_8987,plain,
join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(meet(complement(one),complement(X_639))))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_5522,refute_0_8986]) ).
cnf(refute_0_8988,plain,
( join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) != join(complement(one),complement(converse(complement(join(one,X_639)))))
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) != join(complement(one),complement(converse(meet(complement(one),complement(X_639)))))
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(complement(join(one,X_639))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))))),bind(Y,$fot(join(complement(one),complement(converse(meet(complement(one),complement(X_639))))))),bind(Z,$fot(join(complement(one),complement(converse(complement(join(one,X_639)))))))]]) ).
cnf(refute_0_8989,plain,
( join(complement(one),complement(converse(meet(complement(one),complement(X_639))))) != join(complement(one),complement(converse(complement(join(one,X_639)))))
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(complement(join(one,X_639))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))),join(complement(one),complement(converse(meet(complement(one),complement(X_639)))))) )],[refute_0_8987,refute_0_8988]) ).
cnf(refute_0_8990,plain,
join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = join(complement(one),complement(converse(complement(join(one,X_639))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(meet(complement(one),complement(X_639))))),join(complement(one),complement(converse(complement(join(one,X_639)))))) )],[refute_0_8983,refute_0_8989]) ).
cnf(refute_0_8991,plain,
( join(complement(one),complement(converse(complement(join(one,X_639))))) != complement(meet(one,converse(complement(join(one,X_639)))))
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) != join(complement(one),complement(converse(complement(join(one,X_639)))))
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = complement(meet(one,converse(complement(join(one,X_639))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))))),bind(Y,$fot(join(complement(one),complement(converse(complement(join(one,X_639))))))),bind(Z,$fot(complement(meet(one,converse(complement(join(one,X_639)))))))]]) ).
cnf(refute_0_8992,plain,
( join(complement(one),complement(converse(complement(join(one,X_639))))) != complement(meet(one,converse(complement(join(one,X_639)))))
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = complement(meet(one,converse(complement(join(one,X_639))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))),join(complement(one),complement(converse(complement(join(one,X_639)))))) )],[refute_0_8990,refute_0_8991]) ).
cnf(refute_0_8993,plain,
join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) = complement(meet(one,converse(complement(join(one,X_639))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(complement(join(one,X_639))))),complement(meet(one,converse(complement(join(one,X_639)))))) )],[refute_0_8970,refute_0_8992]) ).
cnf(refute_0_8994,plain,
converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))) = join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))),
inference(subst,[],[refute_0_425:[bind(X0,$fot(complement(converse(meet(complement(one),complement(X_639)))))),bind(X_6,$fot(complement(one)))]]) ).
cnf(refute_0_8995,plain,
( converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))) != join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639)))))
| join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) != complement(meet(one,converse(complement(join(one,X_639)))))
| converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))) = complement(meet(one,converse(complement(join(one,X_639))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))))),bind(Y,$fot(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))))),bind(Z,$fot(complement(meet(one,converse(complement(join(one,X_639)))))))]]) ).
cnf(refute_0_8996,plain,
( join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))) != complement(meet(one,converse(complement(join(one,X_639)))))
| converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))) = complement(meet(one,converse(complement(join(one,X_639))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))),join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639)))))) )],[refute_0_8994,refute_0_8995]) ).
cnf(refute_0_8997,plain,
converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))) = complement(meet(one,converse(complement(join(one,X_639))))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(meet(complement(one),complement(X_639))))),complement(meet(one,converse(complement(join(one,X_639)))))) )],[refute_0_8993,refute_0_8996]) ).
cnf(refute_0_8998,plain,
complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),
introduced(tautology,[refl,[$fot(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))))]]) ).
cnf(refute_0_8999,plain,
( complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) != complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))))
| converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))) != complement(meet(one,converse(complement(join(one,X_639)))))
| complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = complement(complement(meet(one,converse(complement(join(one,X_639)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))))) ),[1,0],$fot(complement(meet(one,converse(complement(join(one,X_639))))))]]) ).
cnf(refute_0_9000,plain,
( converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))) != complement(meet(one,converse(complement(join(one,X_639)))))
| complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = complement(complement(meet(one,converse(complement(join(one,X_639)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))))) )],[refute_0_8998,refute_0_8999]) ).
cnf(refute_0_9001,plain,
complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = complement(complement(meet(one,converse(complement(join(one,X_639)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639))))))),complement(meet(one,converse(complement(join(one,X_639)))))) )],[refute_0_8997,refute_0_9000]) ).
cnf(refute_0_9002,plain,
( complement(complement(meet(one,converse(complement(join(one,X_639)))))) != meet(one,converse(complement(join(one,X_639))))
| complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) != complement(complement(meet(one,converse(complement(join(one,X_639))))))
| complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = meet(one,converse(complement(join(one,X_639)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))))),bind(Y,$fot(complement(complement(meet(one,converse(complement(join(one,X_639)))))))),bind(Z,$fot(meet(one,converse(complement(join(one,X_639))))))]]) ).
cnf(refute_0_9003,plain,
( complement(complement(meet(one,converse(complement(join(one,X_639)))))) != meet(one,converse(complement(join(one,X_639))))
| complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = meet(one,converse(complement(join(one,X_639)))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),complement(complement(meet(one,converse(complement(join(one,X_639))))))) )],[refute_0_9001,refute_0_9002]) ).
cnf(refute_0_9004,plain,
complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) = meet(one,converse(complement(join(one,X_639)))),
inference(resolve,[$cnf( $equal(complement(complement(meet(one,converse(complement(join(one,X_639)))))),meet(one,converse(complement(join(one,X_639))))) )],[refute_0_8969,refute_0_9003]) ).
cnf(refute_0_9005,plain,
( complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) != meet(one,complement(converse(top)))
| complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) != meet(one,converse(complement(join(one,X_639))))
| meet(one,converse(complement(join(one,X_639)))) = meet(one,complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),meet(one,complement(converse(top)))) ),[0],$fot(meet(one,converse(complement(join(one,X_639)))))]]) ).
cnf(refute_0_9006,plain,
( complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) != meet(one,complement(converse(top)))
| meet(one,converse(complement(join(one,X_639)))) = meet(one,complement(converse(top))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),meet(one,converse(complement(join(one,X_639))))) )],[refute_0_9004,refute_0_9005]) ).
cnf(refute_0_9007,plain,
meet(one,complement(converse(top))) = meet(one,complement(converse(top))),
introduced(tautology,[refl,[$fot(meet(one,complement(converse(top))))]]) ).
cnf(refute_0_9008,plain,
( complement(converse(top)) != zero
| meet(one,complement(converse(top))) != meet(one,complement(converse(top)))
| meet(one,complement(converse(top))) = meet(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(converse(top))),meet(one,complement(converse(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_9009,plain,
( complement(converse(top)) != zero
| meet(one,complement(converse(top))) = meet(one,zero) ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(top))),meet(one,complement(converse(top)))) )],[refute_0_9007,refute_0_9008]) ).
cnf(refute_0_9010,plain,
meet(one,complement(converse(top))) = meet(one,zero),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_2878,refute_0_9009]) ).
cnf(refute_0_9011,plain,
( meet(one,complement(converse(top))) != meet(one,zero)
| meet(one,zero) != zero
| meet(one,complement(converse(top))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(one,complement(converse(top))))),bind(Y,$fot(meet(one,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_9012,plain,
( meet(one,zero) != zero
| meet(one,complement(converse(top))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(top))),meet(one,zero)) )],[refute_0_9010,refute_0_9011]) ).
cnf(refute_0_9013,plain,
meet(one,complement(converse(top))) = zero,
inference(resolve,[$cnf( $equal(meet(one,zero),zero) )],[refute_0_4995,refute_0_9012]) ).
cnf(refute_0_9014,plain,
( meet(one,complement(converse(top))) != zero
| meet(one,converse(complement(join(one,X_639)))) != meet(one,complement(converse(top)))
| meet(one,converse(complement(join(one,X_639)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(join(one,X_639)))),meet(one,complement(converse(top)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_9015,plain,
( meet(one,converse(complement(join(one,X_639)))) != meet(one,complement(converse(top)))
| meet(one,converse(complement(join(one,X_639)))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,complement(converse(top))),zero) )],[refute_0_9013,refute_0_9014]) ).
cnf(refute_0_9016,plain,
( complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))) != meet(one,complement(converse(top)))
| meet(one,converse(complement(join(one,X_639)))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(join(one,X_639)))),meet(one,complement(converse(top)))) )],[refute_0_9006,refute_0_9015]) ).
cnf(refute_0_9017,plain,
meet(one,converse(complement(join(one,X_639)))) = zero,
inference(resolve,[$cnf( $equal(complement(converse(join(complement(one),converse(complement(converse(meet(complement(one),complement(X_639)))))))),meet(one,complement(converse(top)))) )],[refute_0_8968,refute_0_9016]) ).
cnf(refute_0_9018,plain,
meet(one,converse(complement(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) = zero,
inference(subst,[],[refute_0_9017:[bind(X_639,$fot(complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9019,plain,
( join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| meet(one,converse(complement(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) != zero
| meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))),zero) ),[0,1,0,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9020,plain,
( meet(one,converse(complement(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))) != zero
| meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = zero ),
inference(resolve,[$cnf( $equal(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_7662,refute_0_9019]) ).
cnf(refute_0_9021,plain,
meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(complement(join(one,complement(join(one,composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))),zero) )],[refute_0_9018,refute_0_9020]) ).
cnf(refute_0_9022,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_450:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_13,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9023,plain,
( composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9024,plain,
( composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0)))) )],[refute_0_9022,refute_0_9023]) ).
cnf(refute_0_9025,plain,
converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,converse(complement(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_8723,refute_0_9024]) ).
cnf(refute_0_9026,plain,
converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9027,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9028,plain,
( complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))
| converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9026,refute_0_9027]) ).
cnf(refute_0_9029,plain,
converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) )],[refute_0_7763,refute_0_9028]) ).
cnf(refute_0_9030,plain,
( converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9031,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) )],[refute_0_9029,refute_0_9030]) ).
cnf(refute_0_9032,plain,
converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_9025,refute_0_9031]) ).
cnf(refute_0_9033,plain,
meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9034,plain,
( converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))
| meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9035,plain,
( converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))) )],[refute_0_9033,refute_0_9034]) ).
cnf(refute_0_9036,plain,
meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) = meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_9032,refute_0_9035]) ).
cnf(refute_0_9037,plain,
( meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != zero
| meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),zero) ),[0],$fot(meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9038,plain,
( meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) != zero
| meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9036,refute_0_9037]) ).
cnf(refute_0_9039,plain,
meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(complement(complement(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))),zero) )],[refute_0_9021,refute_0_9038]) ).
cnf(refute_0_9040,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != zero
| composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_9041,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)) ),
inference(resolve,[$cnf( $equal(meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_9039,refute_0_9040]) ).
cnf(refute_0_9042,plain,
composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8936,refute_0_9041]) ).
cnf(refute_0_9043,plain,
meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9044,plain,
( join(complement(skolemFOFtoCNF_X0),zero) != complement(skolemFOFtoCNF_X0)
| meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9045,plain,
( join(complement(skolemFOFtoCNF_X0),zero) != complement(skolemFOFtoCNF_X0)
| meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9043,refute_0_9044]) ).
cnf(refute_0_9046,plain,
meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),zero),complement(skolemFOFtoCNF_X0)) )],[refute_0_4300,refute_0_9045]) ).
cnf(refute_0_9047,plain,
meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)) = meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(complement(skolemFOFtoCNF_X0),zero))),bind(X_25,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9048,plain,
( meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)) != meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)))),bind(Y,$fot(meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9049,plain,
( meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)),meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9047,refute_0_9048]) ).
cnf(refute_0_9050,plain,
meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(join(complement(skolemFOFtoCNF_X0),zero),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9046,refute_0_9049]) ).
cnf(refute_0_9051,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero))
| meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)) != meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)))]]) ).
cnf(refute_0_9052,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero))
| composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9050,refute_0_9051]) ).
cnf(refute_0_9053,plain,
composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) = meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),meet(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),join(complement(skolemFOFtoCNF_X0),zero))) )],[refute_0_9042,refute_0_9052]) ).
cnf(refute_0_9054,plain,
( composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) != meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),bind(Y,$fot(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9055,plain,
meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9053,refute_0_9054]) ).
cnf(refute_0_9056,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != zero
| meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),zero) ),[0,1],$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9057,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != zero
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_9055,refute_0_9056]) ).
cnf(refute_0_9058,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),meet(complement(skolemFOFtoCNF_X0),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),zero) )],[refute_0_8892,refute_0_9057]) ).
cnf(refute_0_9059,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9060,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9061,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9059,refute_0_9060]) ).
cnf(refute_0_9062,plain,
meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_9061]) ).
cnf(refute_0_9063,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != zero
| meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero) ),[0],$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9064,plain,
( meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != zero
| meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9062,refute_0_9063]) ).
cnf(refute_0_9065,plain,
meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(complement(skolemFOFtoCNF_X0)),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_9058,refute_0_9064]) ).
cnf(refute_0_9066,plain,
( meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != zero
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_9067,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero) )],[refute_0_9065,refute_0_9066]) ).
cnf(refute_0_9068,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8872,refute_0_9067]) ).
cnf(refute_0_9069,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9070,plain,
meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)) = meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)))]]) ).
cnf(refute_0_9071,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)) != meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero))
| meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)),meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9072,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)),meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero))) )],[refute_0_9070,refute_0_9071]) ).
cnf(refute_0_9073,plain,
meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9069,refute_0_9072]) ).
cnf(refute_0_9074,plain,
( meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)) != meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero))) ),[1],$fot(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9075,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero)),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9073,refute_0_9074]) ).
cnf(refute_0_9076,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),zero))) )],[refute_0_9068,refute_0_9075]) ).
cnf(refute_0_9077,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9078,plain,
meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9076,refute_0_9077]) ).
cnf(refute_0_9079,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != skolemFOFtoCNF_X0
| complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9080,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),skolemFOFtoCNF_X0) )],[refute_0_9078,refute_0_9079]) ).
cnf(refute_0_9081,plain,
complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_8871,refute_0_9080]) ).
cnf(refute_0_9082,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9083,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0))))
| join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_9084,plain,
( join(one,complement(converse(skolemFOFtoCNF_X0))) != top
| composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9082,refute_0_9083]) ).
cnf(refute_0_9085,plain,
composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(join(one,complement(converse(skolemFOFtoCNF_X0))),top) )],[refute_0_3216,refute_0_9084]) ).
cnf(refute_0_9086,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_3753:[bind(X0,$fot(complement(converse(skolemFOFtoCNF_X0)))),bind(X_302,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9087,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))))),bind(Z,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9088,plain,
( composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,top)
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9086,refute_0_9087]) ).
cnf(refute_0_9089,plain,
join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = composition(skolemFOFtoCNF_X0,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,join(one,complement(converse(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9085,refute_0_9088]) ).
cnf(refute_0_9090,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9091,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,top))]]) ).
cnf(refute_0_9092,plain,
( join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != composition(skolemFOFtoCNF_X0,top)
| complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9090,refute_0_9091]) ).
cnf(refute_0_9093,plain,
complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(skolemFOFtoCNF_X0,top)) )],[refute_0_9089,refute_0_9092]) ).
cnf(refute_0_9094,plain,
meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_7652:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),bind(X_601,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9095,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9096,plain,
( complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,top))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9094,refute_0_9095]) ).
cnf(refute_0_9097,plain,
meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9093,refute_0_9096]) ).
cnf(refute_0_9098,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9099,plain,
( join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9100,plain,
( meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,top))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_9098,refute_0_9099]) ).
cnf(refute_0_9101,plain,
join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9097,refute_0_9100]) ).
cnf(refute_0_9102,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) ),[0],$fot(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9103,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))
| complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9101,refute_0_9102]) ).
cnf(refute_0_9104,plain,
complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) = join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,meet(complement(skolemFOFtoCNF_X0),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))) )],[refute_0_9081,refute_0_9103]) ).
cnf(refute_0_9105,plain,
( complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) != join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9106,plain,
join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9104,refute_0_9105]) ).
cnf(refute_0_9107,plain,
( join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) != join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),X2)
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) = join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)),join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),X2)) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9108,plain,
( join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) != join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),X2)
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) = join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9106,refute_0_9107]) ).
cnf(refute_0_9109,plain,
join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) = join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)),join(join(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),X2)) )],[refute_0_8870,refute_0_9108]) ).
cnf(refute_0_9110,plain,
( join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) != join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)))]]) ).
cnf(refute_0_9111,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)),join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_9109,refute_0_9110]) ).
cnf(refute_0_9112,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))),
inference(subst,[],[refute_0_9111:[bind(X2,$fot(composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))]]) ).
cnf(refute_0_9113,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) != join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9114,plain,
( join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))) != join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))))) )],[refute_0_9112,refute_0_9113]) ).
cnf(refute_0_9115,plain,
join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) = join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero)))),join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_8869,refute_0_9114]) ).
cnf(refute_0_9116,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) != join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),[0],$fot(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9117,plain,
( join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))) )],[refute_0_9115,refute_0_9116]) ).
cnf(refute_0_9118,plain,
join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),composition(converse(complement(composition(top,complement(skolemFOFtoCNF_X0)))),complement(zero))),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_8748,refute_0_9117]) ).
cnf(refute_0_9119,plain,
( join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) != join(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),X2)
| join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) = join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)),join(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),X2)) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9120,plain,
( join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) != join(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),X2)
| join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) = join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9118,refute_0_9119]) ).
cnf(refute_0_9121,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) = join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)),join(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),X2)) )],[refute_0_7529,refute_0_9120]) ).
cnf(refute_0_9122,plain,
join(X0,join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))) = join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0)),
inference(subst,[],[refute_0_2936:[bind(X_63,$fot(skolemFOFtoCNF_X0)),bind(X_64,$fot(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9123,plain,
( join(X0,join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0))
| join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0))) ),[0,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9124,plain,
( join(X0,join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))) != join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0))
| join(X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0))))),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9118,refute_0_9123]) ).
cnf(refute_0_9125,plain,
join(X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(skolemFOFtoCNF_X0,complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))))),join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0))) )],[refute_0_9122,refute_0_9124]) ).
cnf(refute_0_9126,plain,
( join(X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0))
| join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0)) = join(X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0))))]]) ).
cnf(refute_0_9127,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0)) = join(X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(X0,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X0))) )],[refute_0_9125,refute_0_9126]) ).
cnf(refute_0_9128,plain,
join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) = join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_9127:[bind(X0,$fot(X2))]]) ).
cnf(refute_0_9129,plain,
( join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) != join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) != join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)),join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)) ),[0],$fot(join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9130,plain,
( join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) != join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)),join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9128,refute_0_9129]) ).
cnf(refute_0_9131,plain,
( join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2) != join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2))
| join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2))) ),[0],$fot(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2))]]) ).
cnf(refute_0_9132,plain,
( join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2),join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2))) )],[refute_0_9111,refute_0_9131]) ).
cnf(refute_0_9133,plain,
( join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)) != join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)
| join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)) ),
inference(resolve,[$cnf( $equal(join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_9130,refute_0_9132]) ).
cnf(refute_0_9134,plain,
join(X2,complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),X2)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(meet(composition(skolemFOFtoCNF_X0,top),composition(top,complement(skolemFOFtoCNF_X0)))),X2)),join(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),X2)) )],[refute_0_9121,refute_0_9133]) ).
cnf(refute_0_9135,plain,
join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))),
inference(subst,[],[refute_0_9134:[bind(X2,$fot(complement(one)))]]) ).
cnf(refute_0_9136,plain,
( join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one)))
| join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9137,plain,
( join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one)))) )],[refute_0_9135,refute_0_9136]) ).
cnf(refute_0_9138,plain,
join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(complement(composition(skolemFOFtoCNF_X0,top)),complement(one))),join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_7528,refute_0_9137]) ).
cnf(refute_0_9139,plain,
complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9140,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))
| converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9141,plain,
( converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))) != composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))
| complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) )],[refute_0_9139,refute_0_9140]) ).
cnf(refute_0_9142,plain,
complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) = complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))),composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))) )],[refute_0_9025,refute_0_9141]) ).
cnf(refute_0_9143,plain,
join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9144,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9145,plain,
( complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))) != complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))
| join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9143,refute_0_9144]) ).
cnf(refute_0_9146,plain,
join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) )],[refute_0_9142,refute_0_9145]) ).
cnf(refute_0_9147,plain,
join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9148,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_9149,plain,
( converse(complement(one)) != complement(one)
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9147,refute_0_9148]) ).
cnf(refute_0_9150,plain,
join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_5522,refute_0_9149]) ).
cnf(refute_0_9151,plain,
( join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))))]]) ).
cnf(refute_0_9152,plain,
( join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9150,refute_0_9151]) ).
cnf(refute_0_9153,plain,
join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9146,refute_0_9152]) ).
cnf(refute_0_9154,plain,
( join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9155,plain,
( join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9153,refute_0_9154]) ).
cnf(refute_0_9156,plain,
join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(skolemFOFtoCNF_X0,complement(converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9138,refute_0_9155]) ).
cnf(refute_0_9157,plain,
join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))) = join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_51:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9158,plain,
( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))) != join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))
| join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))))),bind(Y,$fot(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9159,plain,
( join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))),join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))))) )],[refute_0_9157,refute_0_9158]) ).
cnf(refute_0_9160,plain,
join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))) = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(converse(complement(one)),complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0))))),join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9156,refute_0_9159]) ).
cnf(refute_0_9161,plain,
( join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))) != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| top != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one)))
| top = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one)))) ),[1],$fot(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9162,plain,
( top != join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one)))
| top = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one))),join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9160,refute_0_9161]) ).
cnf(refute_0_9163,plain,
top = join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(composition(complement(skolemFOFtoCNF_X0),converse(skolemFOFtoCNF_X0)))),converse(complement(one)))) )],[refute_0_7501,refute_0_9162]) ).
cnf(refute_0_9164,plain,
( top != join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) = top ),
inference(subst,[],[refute_0_8:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9165,plain,
join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9163,refute_0_9164]) ).
cnf(refute_0_9166,plain,
( join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) != top
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),complement(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_9167,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) != complement(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),top) )],[refute_0_9165,refute_0_9166]) ).
cnf(refute_0_9168,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) = complement(top),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),complement(join(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_3082,refute_0_9167]) ).
cnf(refute_0_9169,plain,
( complement(top) != zero
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) != complement(top)
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_9170,plain,
( meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) != complement(top)
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9169]) ).
cnf(refute_0_9171,plain,
meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),complement(top)) )],[refute_0_9168,refute_0_9170]) ).
cnf(refute_0_9172,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))) != zero
| join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_9173,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),zero) )],[refute_0_9171,refute_0_9172]) ).
cnf(refute_0_9174,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(meet(complement(skolemFOFtoCNF_X0),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_3081,refute_0_9173]) ).
cnf(refute_0_9175,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9176,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) = join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9177,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) = join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9175,refute_0_9176]) ).
cnf(refute_0_9178,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) = join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_9177]) ).
cnf(refute_0_9179,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) != join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top)))
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[0],$fot(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9180,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9178,refute_0_9179]) ).
cnf(refute_0_9181,plain,
join(skolemFOFtoCNF_X0,zero) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_571:[bind(X_66,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9182,plain,
meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))) = zero,
inference(subst,[],[refute_0_1701:[bind(X_55,$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9183,plain,
join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9184,plain,
( join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) != join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))) != zero
| join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_9185,plain,
( meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))) != zero
| join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,zero) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9183,refute_0_9184]) ).
cnf(refute_0_9186,plain,
join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,zero),
inference(resolve,[$cnf( $equal(meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))),zero) )],[refute_0_9182,refute_0_9185]) ).
cnf(refute_0_9187,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9188,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9189,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9187,refute_0_9188]) ).
cnf(refute_0_9190,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_3915,refute_0_9189]) ).
cnf(refute_0_9191,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) != join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) != join(skolemFOFtoCNF_X0,zero)
| join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,zero) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,zero)))]]) ).
cnf(refute_0_9192,plain,
( join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) != join(skolemFOFtoCNF_X0,zero)
| join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9190,refute_0_9191]) ).
cnf(refute_0_9193,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(skolemFOFtoCNF_X0,zero),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),join(skolemFOFtoCNF_X0,zero)) )],[refute_0_9186,refute_0_9192]) ).
cnf(refute_0_9194,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) != join(skolemFOFtoCNF_X0,zero)
| join(skolemFOFtoCNF_X0,zero) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(join(skolemFOFtoCNF_X0,zero))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9195,plain,
( join(skolemFOFtoCNF_X0,zero) != skolemFOFtoCNF_X0
| join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),join(skolemFOFtoCNF_X0,zero)) )],[refute_0_9193,refute_0_9194]) ).
cnf(refute_0_9196,plain,
join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,zero),skolemFOFtoCNF_X0) )],[refute_0_9181,refute_0_9195]) ).
cnf(refute_0_9197,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9198,plain,
( join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))))),skolemFOFtoCNF_X0) )],[refute_0_9196,refute_0_9197]) ).
cnf(refute_0_9199,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))) != join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9180,refute_0_9198]) ).
cnf(refute_0_9200,plain,
join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top))),join(complement(complement(skolemFOFtoCNF_X0)),meet(zero,join(complement(complement(skolemFOFtoCNF_X0)),meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9174,refute_0_9199]) ).
cnf(refute_0_9201,plain,
( join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9202,plain,
( join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top)))))
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) )],[refute_0_9200,refute_0_9201]) ).
cnf(refute_0_9203,plain,
join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_3080,refute_0_9202]) ).
cnf(refute_0_9204,plain,
( join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X0 = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) ),[0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9205,plain,
( join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) )],[refute_0_9200,refute_0_9204]) ).
cnf(refute_0_9206,plain,
meet(X_682,skolemFOFtoCNF_X0) = join(meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(meet(skolemFOFtoCNF_X0,X_682))),bind(X_44,$fot(meet(X_682,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9207,plain,
meet(one,meet(X_282,skolemFOFtoCNF_X0)) = meet(meet(X_282,skolemFOFtoCNF_X0),meet(one,meet(X_282,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_3050:[bind(X_672,$fot(one)),bind(X_673,$fot(meet(X_282,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9208,plain,
complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(join(one,join(complement(skolemFOFtoCNF_X0),X2))))),
inference(subst,[],[refute_0_2812:[bind(X1,$fot(one)),bind(X_213,$fot(join(complement(skolemFOFtoCNF_X0),X2)))]]) ).
cnf(refute_0_9209,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,complement(skolemFOFtoCNF_X0)),X2),
inference(subst,[],[refute_0_46:[bind(X0,$fot(one)),bind(X1,$fot(complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9210,plain,
( join(one,top) != join(one,complement(skolemFOFtoCNF_X0))
| join(one,complement(skolemFOFtoCNF_X0)) = join(one,top) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(one,top))),bind(Y,$fot(join(one,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9211,plain,
join(one,complement(skolemFOFtoCNF_X0)) = join(one,top),
inference(resolve,[$cnf( $equal(join(one,top),join(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3256,refute_0_9210]) ).
cnf(refute_0_9212,plain,
( join(one,complement(skolemFOFtoCNF_X0)) != join(one,top)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,complement(skolemFOFtoCNF_X0)),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,complement(skolemFOFtoCNF_X0)),X2)) ),[1,0],$fot(join(one,top))]]) ).
cnf(refute_0_9213,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,complement(skolemFOFtoCNF_X0)),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,top),X2) ),
inference(resolve,[$cnf( $equal(join(one,complement(skolemFOFtoCNF_X0)),join(one,top)) )],[refute_0_9211,refute_0_9212]) ).
cnf(refute_0_9214,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(join(one,top),X2),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,complement(skolemFOFtoCNF_X0)),X2)) )],[refute_0_9209,refute_0_9213]) ).
cnf(refute_0_9215,plain,
join(join(one,top),X2) = join(one,join(top,X2)),
inference(subst,[],[refute_0_437:[bind(X0,$fot(one)),bind(X1,$fot(top))]]) ).
cnf(refute_0_9216,plain,
( join(join(one,top),X2) != join(one,join(top,X2))
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,top),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(one,join(top,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,top),X2)) ),[1],$fot(join(one,join(top,X2)))]]) ).
cnf(refute_0_9217,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(join(one,top),X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(one,join(top,X2)) ),
inference(resolve,[$cnf( $equal(join(join(one,top),X2),join(one,join(top,X2))) )],[refute_0_9215,refute_0_9216]) ).
cnf(refute_0_9218,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(one,join(top,X2)),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(join(one,top),X2)) )],[refute_0_9214,refute_0_9217]) ).
cnf(refute_0_9219,plain,
join(one,join(top,X2)) = join(top,X2),
inference(subst,[],[refute_0_3437:[bind(X_104,$fot(one))]]) ).
cnf(refute_0_9220,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(one,join(top,X2))
| join(one,join(top,X2)) != join(top,X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(top,X2)) ),[0],$fot(join(one,join(top,X2)))]]) ).
cnf(refute_0_9221,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(one,join(top,X2))
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(one,join(top,X2)),join(top,X2)) )],[refute_0_9219,refute_0_9220]) ).
cnf(refute_0_9222,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(one,join(top,X2))) )],[refute_0_9218,refute_0_9221]) ).
cnf(refute_0_9223,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(top,X2)
| join(top,X2) != top
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),top) ),[0],$fot(join(top,X2))]]) ).
cnf(refute_0_9224,plain,
( join(one,join(complement(skolemFOFtoCNF_X0),X2)) != join(top,X2)
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top ),
inference(resolve,[$cnf( $equal(join(top,X2),top) )],[refute_0_5942,refute_0_9223]) ).
cnf(refute_0_9225,plain,
join(one,join(complement(skolemFOFtoCNF_X0),X2)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),join(top,X2)) )],[refute_0_9222,refute_0_9224]) ).
cnf(refute_0_9226,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(join(one,join(complement(skolemFOFtoCNF_X0),X2)))))
| join(one,join(complement(skolemFOFtoCNF_X0),X2)) != top
| complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(join(one,join(complement(skolemFOFtoCNF_X0),X2)))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_9227,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(join(one,join(complement(skolemFOFtoCNF_X0),X2)))))
| complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(skolemFOFtoCNF_X0),X2)),top) )],[refute_0_9225,refute_0_9226]) ).
cnf(refute_0_9228,plain,
complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(join(one,join(complement(skolemFOFtoCNF_X0),X2)))))) )],[refute_0_9208,refute_0_9227]) ).
cnf(refute_0_9229,plain,
complement(join(complement(skolemFOFtoCNF_X0),X2)) = meet(skolemFOFtoCNF_X0,complement(X2)),
inference(subst,[],[refute_0_4505:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_27,$fot(X2))]]) ).
cnf(refute_0_9230,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))
| complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(skolemFOFtoCNF_X0,complement(X2))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))) ),[0],$fot(meet(skolemFOFtoCNF_X0,complement(X2)))]]) ).
cnf(refute_0_9231,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(skolemFOFtoCNF_X0,complement(X2))) )],[refute_0_9229,refute_0_9230]) ).
cnf(refute_0_9232,plain,
meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),
introduced(tautology,[refl,[$fot(meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_9233,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_9234,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( $equal(meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_9232,refute_0_9233]) ).
cnf(refute_0_9235,plain,
meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(skolemFOFtoCNF_X0,complement(X2))) )],[refute_0_9229,refute_0_9234]) ).
cnf(refute_0_9236,plain,
meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))),
introduced(tautology,[refl,[$fot(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_9237,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2)))
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_9238,plain,
( join(one,complement(top)) != one
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_9236,refute_0_9237]) ).
cnf(refute_0_9239,plain,
meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),
inference(resolve,[$cnf( $equal(join(one,complement(top)),one) )],[refute_0_2842,refute_0_9238]) ).
cnf(refute_0_9240,plain,
( meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2)))
| meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(one,complement(top)),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_9241,plain,
( meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_9239,refute_0_9240]) ).
cnf(refute_0_9242,plain,
meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))),
inference(resolve,[$cnf( $equal(meet(one,complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))) )],[refute_0_9235,refute_0_9241]) ).
cnf(refute_0_9243,plain,
meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) = meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(one,complement(top)))),bind(X_25,$fot(complement(join(complement(skolemFOFtoCNF_X0),X2))))]]) ).
cnf(refute_0_9244,plain,
( meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) != meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2)))
| meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))))),bind(Y,$fot(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))))),bind(Z,$fot(meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))))]]) ).
cnf(refute_0_9245,plain,
( meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))),meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2)))) )],[refute_0_9243,refute_0_9244]) ).
cnf(refute_0_9246,plain,
meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))),
inference(resolve,[$cnf( $equal(meet(join(one,complement(top)),complement(join(complement(skolemFOFtoCNF_X0),X2))),meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))) )],[refute_0_9242,refute_0_9245]) ).
cnf(refute_0_9247,plain,
( meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))) != meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))
| meet(skolemFOFtoCNF_X0,complement(X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))) ),[1],$fot(meet(one,meet(skolemFOFtoCNF_X0,complement(X2))))]]) ).
cnf(refute_0_9248,plain,
( meet(skolemFOFtoCNF_X0,complement(X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top))),meet(one,meet(skolemFOFtoCNF_X0,complement(X2)))) )],[refute_0_9246,refute_0_9247]) ).
cnf(refute_0_9249,plain,
( complement(join(complement(skolemFOFtoCNF_X0),X2)) != meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))
| meet(skolemFOFtoCNF_X0,complement(X2)) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))) )],[refute_0_9231,refute_0_9248]) ).
cnf(refute_0_9250,plain,
meet(skolemFOFtoCNF_X0,complement(X2)) = meet(one,meet(skolemFOFtoCNF_X0,complement(X2))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),X2)),meet(complement(join(complement(skolemFOFtoCNF_X0),X2)),join(one,complement(top)))) )],[refute_0_9228,refute_0_9249]) ).
cnf(refute_0_9251,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X0))) = meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X0)))),
inference(subst,[],[refute_0_9250:[bind(X2,$fot(complement(X0)))]]) ).
cnf(refute_0_9252,plain,
( complement(complement(X0)) != X0
| meet(skolemFOFtoCNF_X0,complement(complement(X0))) != meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X0))))
| meet(skolemFOFtoCNF_X0,complement(complement(X0))) = meet(one,meet(skolemFOFtoCNF_X0,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X0))),meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_9253,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X0))) != meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X0))))
| meet(skolemFOFtoCNF_X0,complement(complement(X0))) = meet(one,meet(skolemFOFtoCNF_X0,X0)) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_9252]) ).
cnf(refute_0_9254,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X0))) = meet(one,meet(skolemFOFtoCNF_X0,X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X0))),meet(one,meet(skolemFOFtoCNF_X0,complement(complement(X0))))) )],[refute_0_9251,refute_0_9253]) ).
cnf(refute_0_9255,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X0))) = meet(skolemFOFtoCNF_X0,complement(complement(X0))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(complement(X0))))]]) ).
cnf(refute_0_9256,plain,
( complement(complement(X0)) != X0
| meet(skolemFOFtoCNF_X0,complement(complement(X0))) != meet(skolemFOFtoCNF_X0,complement(complement(X0)))
| meet(skolemFOFtoCNF_X0,complement(complement(X0))) = meet(skolemFOFtoCNF_X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X0))),meet(skolemFOFtoCNF_X0,complement(complement(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_9257,plain,
( complement(complement(X0)) != X0
| meet(skolemFOFtoCNF_X0,complement(complement(X0))) = meet(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X0))),meet(skolemFOFtoCNF_X0,complement(complement(X0)))) )],[refute_0_9255,refute_0_9256]) ).
cnf(refute_0_9258,plain,
meet(skolemFOFtoCNF_X0,complement(complement(X0))) = meet(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_9257]) ).
cnf(refute_0_9259,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X0))) != meet(one,meet(skolemFOFtoCNF_X0,X0))
| meet(skolemFOFtoCNF_X0,complement(complement(X0))) != meet(skolemFOFtoCNF_X0,X0)
| meet(skolemFOFtoCNF_X0,X0) = meet(one,meet(skolemFOFtoCNF_X0,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X0))),meet(one,meet(skolemFOFtoCNF_X0,X0))) ),[0],$fot(meet(skolemFOFtoCNF_X0,X0))]]) ).
cnf(refute_0_9260,plain,
( meet(skolemFOFtoCNF_X0,complement(complement(X0))) != meet(one,meet(skolemFOFtoCNF_X0,X0))
| meet(skolemFOFtoCNF_X0,X0) = meet(one,meet(skolemFOFtoCNF_X0,X0)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X0))),meet(skolemFOFtoCNF_X0,X0)) )],[refute_0_9258,refute_0_9259]) ).
cnf(refute_0_9261,plain,
meet(skolemFOFtoCNF_X0,X0) = meet(one,meet(skolemFOFtoCNF_X0,X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(complement(X0))),meet(one,meet(skolemFOFtoCNF_X0,X0))) )],[refute_0_9254,refute_0_9260]) ).
cnf(refute_0_9262,plain,
meet(skolemFOFtoCNF_X0,X_282) = meet(one,meet(skolemFOFtoCNF_X0,X_282)),
inference(subst,[],[refute_0_9261:[bind(X0,$fot(X_282))]]) ).
cnf(refute_0_9263,plain,
meet(X_282,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_282),
inference(subst,[],[refute_0_352:[bind(X_24,$fot(X_282)),bind(X_25,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9264,plain,
( meet(X_282,skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,X_282)
| meet(skolemFOFtoCNF_X0,X_282) = meet(X_282,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_282,skolemFOFtoCNF_X0))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,X_282)))]]) ).
cnf(refute_0_9265,plain,
meet(skolemFOFtoCNF_X0,X_282) = meet(X_282,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282)) )],[refute_0_9263,refute_0_9264]) ).
cnf(refute_0_9266,plain,
( meet(skolemFOFtoCNF_X0,X_282) != meet(X_282,skolemFOFtoCNF_X0)
| meet(skolemFOFtoCNF_X0,X_282) != meet(one,meet(skolemFOFtoCNF_X0,X_282))
| meet(skolemFOFtoCNF_X0,X_282) = meet(one,meet(X_282,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_282),meet(one,meet(skolemFOFtoCNF_X0,X_282))) ),[1,1],$fot(meet(X_282,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9267,plain,
( meet(skolemFOFtoCNF_X0,X_282) != meet(one,meet(skolemFOFtoCNF_X0,X_282))
| meet(skolemFOFtoCNF_X0,X_282) = meet(one,meet(X_282,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_282),meet(X_282,skolemFOFtoCNF_X0)) )],[refute_0_9265,refute_0_9266]) ).
cnf(refute_0_9268,plain,
meet(skolemFOFtoCNF_X0,X_282) = meet(one,meet(X_282,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_282),meet(one,meet(skolemFOFtoCNF_X0,X_282))) )],[refute_0_9262,refute_0_9267]) ).
cnf(refute_0_9269,plain,
( meet(skolemFOFtoCNF_X0,X_282) != meet(one,meet(X_282,skolemFOFtoCNF_X0))
| meet(one,meet(X_282,skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,X_282) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_282))),bind(Y,$fot(meet(one,meet(X_282,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9270,plain,
meet(one,meet(X_282,skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,X_282),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_282),meet(one,meet(X_282,skolemFOFtoCNF_X0))) )],[refute_0_9268,refute_0_9269]) ).
cnf(refute_0_9271,plain,
( meet(one,meet(X_282,skolemFOFtoCNF_X0)) != meet(meet(X_282,skolemFOFtoCNF_X0),meet(one,meet(X_282,skolemFOFtoCNF_X0)))
| meet(one,meet(X_282,skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,X_282)
| meet(one,meet(X_282,skolemFOFtoCNF_X0)) = meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(X_282,skolemFOFtoCNF_X0)),meet(meet(X_282,skolemFOFtoCNF_X0),meet(one,meet(X_282,skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,X_282))]]) ).
cnf(refute_0_9272,plain,
( meet(one,meet(X_282,skolemFOFtoCNF_X0)) != meet(meet(X_282,skolemFOFtoCNF_X0),meet(one,meet(X_282,skolemFOFtoCNF_X0)))
| meet(one,meet(X_282,skolemFOFtoCNF_X0)) = meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(X_282,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_282)) )],[refute_0_9270,refute_0_9271]) ).
cnf(refute_0_9273,plain,
meet(one,meet(X_282,skolemFOFtoCNF_X0)) = meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282)),
inference(resolve,[$cnf( $equal(meet(one,meet(X_282,skolemFOFtoCNF_X0)),meet(meet(X_282,skolemFOFtoCNF_X0),meet(one,meet(X_282,skolemFOFtoCNF_X0)))) )],[refute_0_9207,refute_0_9272]) ).
cnf(refute_0_9274,plain,
( meet(one,meet(X_282,skolemFOFtoCNF_X0)) != meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282))
| meet(one,meet(X_282,skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,X_282)
| meet(skolemFOFtoCNF_X0,X_282) = meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,meet(X_282,skolemFOFtoCNF_X0)),meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282))) ),[0],$fot(meet(skolemFOFtoCNF_X0,X_282))]]) ).
cnf(refute_0_9275,plain,
( meet(one,meet(X_282,skolemFOFtoCNF_X0)) != meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282))
| meet(skolemFOFtoCNF_X0,X_282) = meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(X_282,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_282)) )],[refute_0_9270,refute_0_9274]) ).
cnf(refute_0_9276,plain,
meet(skolemFOFtoCNF_X0,X_282) = meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282)),
inference(resolve,[$cnf( $equal(meet(one,meet(X_282,skolemFOFtoCNF_X0)),meet(meet(X_282,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_282))) )],[refute_0_9273,refute_0_9275]) ).
cnf(refute_0_9277,plain,
meet(skolemFOFtoCNF_X0,X_682) = meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)),
inference(subst,[],[refute_0_9276:[bind(X_282,$fot(X_682))]]) ).
cnf(refute_0_9278,plain,
( meet(skolemFOFtoCNF_X0,X_682) != meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682))
| meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)) = meet(skolemFOFtoCNF_X0,X_682) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_682))),bind(Y,$fot(meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682))))]]) ).
cnf(refute_0_9279,plain,
meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)) = meet(skolemFOFtoCNF_X0,X_682),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682))) )],[refute_0_9277,refute_0_9278]) ).
cnf(refute_0_9280,plain,
( meet(X_682,skolemFOFtoCNF_X0) != join(meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))
| meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)) != meet(skolemFOFtoCNF_X0,X_682)
| meet(X_682,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_682,skolemFOFtoCNF_X0),join(meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,X_682))]]) ).
cnf(refute_0_9281,plain,
( meet(X_682,skolemFOFtoCNF_X0) != join(meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))
| meet(X_682,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)),meet(skolemFOFtoCNF_X0,X_682)) )],[refute_0_9279,refute_0_9280]) ).
cnf(refute_0_9282,plain,
meet(X_682,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(meet(X_682,skolemFOFtoCNF_X0),join(meet(meet(X_682,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,X_682)),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))) )],[refute_0_9206,refute_0_9281]) ).
cnf(refute_0_9283,plain,
meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)) = meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(meet(X_682,skolemFOFtoCNF_X0))),bind(X_25,$fot(complement(meet(skolemFOFtoCNF_X0,X_682))))]]) ).
cnf(refute_0_9284,plain,
join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9285,plain,
( join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))) != join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))
| meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)) != meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))
| join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))),join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))) ),[1,1],$fot(meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))]]) ).
cnf(refute_0_9286,plain,
( meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)) != meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))
| join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))),join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))) )],[refute_0_9284,refute_0_9285]) ).
cnf(refute_0_9287,plain,
join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))) = join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) )],[refute_0_9283,refute_0_9286]) ).
cnf(refute_0_9288,plain,
( join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))) != join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))
| meet(X_682,skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))
| meet(X_682,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_682,skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))) ),[1],$fot(join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))))]]) ).
cnf(refute_0_9289,plain,
( meet(X_682,skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))
| meet(X_682,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0))),join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))) )],[refute_0_9287,refute_0_9288]) ).
cnf(refute_0_9290,plain,
meet(X_682,skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))),
inference(resolve,[$cnf( $equal(meet(X_682,skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X0,X_682),meet(complement(meet(skolemFOFtoCNF_X0,X_682)),meet(X_682,skolemFOFtoCNF_X0)))) )],[refute_0_9282,refute_0_9289]) ).
cnf(refute_0_9291,plain,
join(meet(skolemFOFtoCNF_X0,X_682),zero) = meet(skolemFOFtoCNF_X0,X_682),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(meet(skolemFOFtoCNF_X0,X_682)))]]) ).
cnf(refute_0_9292,plain,
zero = meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(X_703,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(meet(X_703,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9293,plain,
join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_1477:[bind(X0,$fot(complement(one))),bind(X_139,$fot(meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9294,plain,
complement(meet(X_680,skolemFOFtoCNF_X0)) = join(complement(join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_407:[bind(X1,$fot(meet(X_680,skolemFOFtoCNF_X0))),bind(X_32,$fot(meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9295,plain,
one = join(meet(one,meet(skolemFOFtoCNF_X0,X_282)),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)),
inference(subst,[],[refute_0_1107:[bind(X_43,$fot(meet(skolemFOFtoCNF_X0,X_282))),bind(X_44,$fot(one))]]) ).
cnf(refute_0_9296,plain,
( meet(skolemFOFtoCNF_X0,X_282) != meet(one,meet(skolemFOFtoCNF_X0,X_282))
| meet(one,meet(skolemFOFtoCNF_X0,X_282)) = meet(skolemFOFtoCNF_X0,X_282) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(skolemFOFtoCNF_X0,X_282))),bind(Y,$fot(meet(one,meet(skolemFOFtoCNF_X0,X_282))))]]) ).
cnf(refute_0_9297,plain,
meet(one,meet(skolemFOFtoCNF_X0,X_282)) = meet(skolemFOFtoCNF_X0,X_282),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,X_282),meet(one,meet(skolemFOFtoCNF_X0,X_282))) )],[refute_0_9262,refute_0_9296]) ).
cnf(refute_0_9298,plain,
( meet(one,meet(skolemFOFtoCNF_X0,X_282)) != meet(skolemFOFtoCNF_X0,X_282)
| one != join(meet(one,meet(skolemFOFtoCNF_X0,X_282)),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))
| one = join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(one,meet(skolemFOFtoCNF_X0,X_282)),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,X_282))]]) ).
cnf(refute_0_9299,plain,
( one != join(meet(one,meet(skolemFOFtoCNF_X0,X_282)),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))
| one = join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)) ),
inference(resolve,[$cnf( $equal(meet(one,meet(skolemFOFtoCNF_X0,X_282)),meet(skolemFOFtoCNF_X0,X_282)) )],[refute_0_9297,refute_0_9298]) ).
cnf(refute_0_9300,plain,
one = join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)),
inference(resolve,[$cnf( $equal(one,join(meet(one,meet(skolemFOFtoCNF_X0,X_282)),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))) )],[refute_0_9295,refute_0_9299]) ).
cnf(refute_0_9301,plain,
meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one) = meet(one,complement(meet(skolemFOFtoCNF_X0,X_282))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(meet(skolemFOFtoCNF_X0,X_282))))]]) ).
cnf(refute_0_9302,plain,
join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)) = join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)))]]) ).
cnf(refute_0_9303,plain,
( join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)) != join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))
| meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one) != meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))
| join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)) = join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)),join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))) ),[1,1],$fot(meet(one,complement(meet(skolemFOFtoCNF_X0,X_282))))]]) ).
cnf(refute_0_9304,plain,
( meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one) != meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))
| join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)) = join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)),join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))) )],[refute_0_9302,refute_0_9303]) ).
cnf(refute_0_9305,plain,
join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)) = join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))) )],[refute_0_9301,refute_0_9304]) ).
cnf(refute_0_9306,plain,
( join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)) != join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282))))
| one != join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))
| one = join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))) ),[1],$fot(join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))))]]) ).
cnf(refute_0_9307,plain,
( one != join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))
| one = join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one)),join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282))))) )],[refute_0_9305,refute_0_9306]) ).
cnf(refute_0_9308,plain,
one = join(meet(skolemFOFtoCNF_X0,X_282),meet(one,complement(meet(skolemFOFtoCNF_X0,X_282)))),
inference(resolve,[$cnf( $equal(one,join(meet(skolemFOFtoCNF_X0,X_282),meet(complement(meet(skolemFOFtoCNF_X0,X_282)),one))) )],[refute_0_9300,refute_0_9307]) ).
cnf(refute_0_9309,plain,
one = join(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_9308:[bind(X_282,$fot(meet(X_674,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9310,plain,
meet(X_674,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_3050:[bind(X_672,$fot(X_674)),bind(X_673,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9311,plain,
( meet(X_674,skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))
| meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)) = meet(X_674,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_674,skolemFOFtoCNF_X0))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9312,plain,
meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)) = meet(X_674,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(X_674,skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))) )],[refute_0_9310,refute_0_9311]) ).
cnf(refute_0_9313,plain,
( meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)) != meet(X_674,skolemFOFtoCNF_X0)
| one != join(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))
| one = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))) ),[1,0],$fot(meet(X_674,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9314,plain,
( one != join(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))
| one = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)),meet(X_674,skolemFOFtoCNF_X0)) )],[refute_0_9312,refute_0_9313]) ).
cnf(refute_0_9315,plain,
one = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(one,join(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))) )],[refute_0_9309,refute_0_9314]) ).
cnf(refute_0_9316,plain,
complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))) = complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9317,plain,
( complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))) != complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))
| meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)) != meet(X_674,skolemFOFtoCNF_X0)
| complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))) = complement(meet(X_674,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(X_674,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9318,plain,
( meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)) != meet(X_674,skolemFOFtoCNF_X0)
| complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))) = complement(meet(X_674,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) )],[refute_0_9316,refute_0_9317]) ).
cnf(refute_0_9319,plain,
complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))) = complement(meet(X_674,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)),meet(X_674,skolemFOFtoCNF_X0)) )],[refute_0_9312,refute_0_9318]) ).
cnf(refute_0_9320,plain,
meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) = meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9321,plain,
( complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))) != complement(meet(X_674,skolemFOFtoCNF_X0))
| meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) != meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) = meet(one,complement(meet(X_674,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) ),[1,1],$fot(complement(meet(X_674,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9322,plain,
( complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))) != complement(meet(X_674,skolemFOFtoCNF_X0))
| meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) = meet(one,complement(meet(X_674,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) )],[refute_0_9320,refute_0_9321]) ).
cnf(refute_0_9323,plain,
meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) = meet(one,complement(meet(X_674,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))),complement(meet(X_674,skolemFOFtoCNF_X0))) )],[refute_0_9319,refute_0_9322]) ).
cnf(refute_0_9324,plain,
join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9325,plain,
( join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) != join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))
| meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) != meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))
| join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))),join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,complement(meet(X_674,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9326,plain,
( meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))) != meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))
| join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))),join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))) )],[refute_0_9324,refute_0_9325]) ).
cnf(refute_0_9327,plain,
join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))) )],[refute_0_9323,refute_0_9326]) ).
cnf(refute_0_9328,plain,
( join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))) != join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0))))
| one != join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))
| one = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(one,join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))) ),[1],$fot(join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9329,plain,
( one != join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))
| one = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0))))),join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0))))) )],[refute_0_9327,refute_0_9328]) ).
cnf(refute_0_9330,plain,
one = join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(X_674,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(one,join(meet(X_674,skolemFOFtoCNF_X0),meet(one,complement(meet(skolemFOFtoCNF_X0,meet(X_674,skolemFOFtoCNF_X0)))))) )],[refute_0_9315,refute_0_9329]) ).
cnf(refute_0_9331,plain,
one = join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_9330:[bind(X_674,$fot(X_680))]]) ).
cnf(refute_0_9332,plain,
( one != join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))
| join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) = one ),
inference(subst,[],[refute_0_8:[bind(X,$fot(one)),bind(Y,$fot(join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9333,plain,
join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) = one,
inference(resolve,[$cnf( $equal(one,join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) )],[refute_0_9331,refute_0_9332]) ).
cnf(refute_0_9334,plain,
( complement(meet(X_680,skolemFOFtoCNF_X0)) != join(complement(join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))
| join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) != one
| complement(meet(X_680,skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_680,skolemFOFtoCNF_X0)),join(complement(join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))) ),[1,0,0],$fot(one)]]) ).
cnf(refute_0_9335,plain,
( complement(meet(X_680,skolemFOFtoCNF_X0)) != join(complement(join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))
| complement(meet(X_680,skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))),one) )],[refute_0_9333,refute_0_9334]) ).
cnf(refute_0_9336,plain,
complement(meet(X_680,skolemFOFtoCNF_X0)) = join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),
inference(resolve,[$cnf( $equal(complement(meet(X_680,skolemFOFtoCNF_X0)),join(complement(join(meet(X_680,skolemFOFtoCNF_X0),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))) )],[refute_0_9294,refute_0_9335]) ).
cnf(refute_0_9337,plain,
meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) = meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_3052:[bind(X_672,$fot(one)),bind(X_673,$fot(complement(meet(X_680,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9338,plain,
join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) = join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9339,plain,
( join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) != join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))
| meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) != meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9340,plain,
( meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) != meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))
| join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))) )],[refute_0_9338,refute_0_9339]) ).
cnf(refute_0_9341,plain,
join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) = join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) )],[refute_0_9337,refute_0_9340]) ).
cnf(refute_0_9342,plain,
( complement(meet(X_680,skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))
| join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))
| complement(meet(X_680,skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_680,skolemFOFtoCNF_X0)),join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) ),[0],$fot(join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9343,plain,
( complement(meet(X_680,skolemFOFtoCNF_X0)) != join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))
| complement(meet(X_680,skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))),join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0))))) )],[refute_0_9341,refute_0_9342]) ).
cnf(refute_0_9344,plain,
complement(meet(X_680,skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))),
inference(resolve,[$cnf( $equal(complement(meet(X_680,skolemFOFtoCNF_X0)),join(complement(one),meet(complement(meet(X_680,skolemFOFtoCNF_X0)),meet(one,complement(meet(X_680,skolemFOFtoCNF_X0)))))) )],[refute_0_9336,refute_0_9343]) ).
cnf(refute_0_9345,plain,
complement(meet(X_701,skolemFOFtoCNF_X0)) = join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))),
inference(subst,[],[refute_0_9344:[bind(X_680,$fot(X_701))]]) ).
cnf(refute_0_9346,plain,
( complement(meet(X_701,skolemFOFtoCNF_X0)) != join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))) = complement(meet(X_701,skolemFOFtoCNF_X0)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(meet(X_701,skolemFOFtoCNF_X0)))),bind(Y,$fot(join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))))]]) ).
cnf(refute_0_9347,plain,
join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))) = complement(meet(X_701,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(complement(meet(X_701,skolemFOFtoCNF_X0)),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) )],[refute_0_9345,refute_0_9346]) ).
cnf(refute_0_9348,plain,
( join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))
| join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))) != complement(meet(X_701,skolemFOFtoCNF_X0))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(X_701,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),complement(meet(X_701,skolemFOFtoCNF_X0))) ),[0],$fot(join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9349,plain,
( join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(X_701,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))),complement(meet(X_701,skolemFOFtoCNF_X0))) )],[refute_0_9347,refute_0_9348]) ).
cnf(refute_0_9350,plain,
join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(X_701,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) )],[refute_0_9293,refute_0_9349]) ).
cnf(refute_0_9351,plain,
meet(one,meet(X_701,skolemFOFtoCNF_X0)) = meet(skolemFOFtoCNF_X0,X_701),
inference(subst,[],[refute_0_9270:[bind(X_282,$fot(X_701))]]) ).
cnf(refute_0_9352,plain,
complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) = complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9353,plain,
( complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) != complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))
| meet(one,meet(X_701,skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,X_701)
| complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) = complement(meet(skolemFOFtoCNF_X0,X_701)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))),complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0,X_701))]]) ).
cnf(refute_0_9354,plain,
( meet(one,meet(X_701,skolemFOFtoCNF_X0)) != meet(skolemFOFtoCNF_X0,X_701)
| complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) = complement(meet(skolemFOFtoCNF_X0,X_701)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))),complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))) )],[refute_0_9352,refute_0_9353]) ).
cnf(refute_0_9355,plain,
complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) = complement(meet(skolemFOFtoCNF_X0,X_701)),
inference(resolve,[$cnf( $equal(meet(one,meet(X_701,skolemFOFtoCNF_X0)),meet(skolemFOFtoCNF_X0,X_701)) )],[refute_0_9351,refute_0_9354]) ).
cnf(refute_0_9356,plain,
join(complement(one),complement(meet(X_701,skolemFOFtoCNF_X0))) = complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(one)),bind(X1,$fot(meet(X_701,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9357,plain,
join(complement(one),join(X_64,meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = join(X_64,join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),
inference(subst,[],[refute_0_1275:[bind(X_63,$fot(complement(one))),bind(X_65,$fot(meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9358,plain,
( join(complement(one),join(X_64,meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != join(X_64,join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))))
| join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))) != complement(meet(X_701,skolemFOFtoCNF_X0))
| join(complement(one),join(X_64,meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = join(X_64,complement(meet(X_701,skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_64,meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),join(X_64,join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))))) ),[1,1],$fot(complement(meet(X_701,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9359,plain,
( join(complement(one),join(X_64,meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != join(X_64,join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))))
| join(complement(one),join(X_64,meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = join(X_64,complement(meet(X_701,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))),complement(meet(X_701,skolemFOFtoCNF_X0))) )],[refute_0_9347,refute_0_9358]) ).
cnf(refute_0_9360,plain,
join(complement(one),join(X_64,meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = join(X_64,complement(meet(X_701,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_64,meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),join(X_64,join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0)))))) )],[refute_0_9357,refute_0_9359]) ).
cnf(refute_0_9361,plain,
join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = join(complement(one),complement(meet(X_701,skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_9360:[bind(X_64,$fot(complement(one)))]]) ).
cnf(refute_0_9362,plain,
( join(complement(one),complement(meet(X_701,skolemFOFtoCNF_X0))) != complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != join(complement(one),complement(meet(X_701,skolemFOFtoCNF_X0)))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))))),bind(Y,$fot(join(complement(one),complement(meet(X_701,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_9363,plain,
( join(complement(one),complement(meet(X_701,skolemFOFtoCNF_X0))) != complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),join(complement(one),complement(meet(X_701,skolemFOFtoCNF_X0)))) )],[refute_0_9361,refute_0_9362]) ).
cnf(refute_0_9364,plain,
join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(meet(X_701,skolemFOFtoCNF_X0))),complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))) )],[refute_0_9356,refute_0_9363]) ).
cnf(refute_0_9365,plain,
( complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) != complement(meet(skolemFOFtoCNF_X0,X_701))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(skolemFOFtoCNF_X0,X_701)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))))),bind(Y,$fot(complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0,X_701))))]]) ).
cnf(refute_0_9366,plain,
( complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))) != complement(meet(skolemFOFtoCNF_X0,X_701))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(skolemFOFtoCNF_X0,X_701)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),complement(meet(one,meet(X_701,skolemFOFtoCNF_X0)))) )],[refute_0_9364,refute_0_9365]) ).
cnf(refute_0_9367,plain,
join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) = complement(meet(skolemFOFtoCNF_X0,X_701)),
inference(resolve,[$cnf( $equal(complement(meet(one,meet(X_701,skolemFOFtoCNF_X0))),complement(meet(skolemFOFtoCNF_X0,X_701))) )],[refute_0_9355,refute_0_9366]) ).
cnf(refute_0_9368,plain,
( join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != complement(meet(X_701,skolemFOFtoCNF_X0))
| join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != complement(meet(skolemFOFtoCNF_X0,X_701))
| complement(meet(skolemFOFtoCNF_X0,X_701)) = complement(meet(X_701,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),complement(meet(X_701,skolemFOFtoCNF_X0))) ),[0],$fot(complement(meet(skolemFOFtoCNF_X0,X_701)))]]) ).
cnf(refute_0_9369,plain,
( join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))) != complement(meet(X_701,skolemFOFtoCNF_X0))
| complement(meet(skolemFOFtoCNF_X0,X_701)) = complement(meet(X_701,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),complement(meet(skolemFOFtoCNF_X0,X_701))) )],[refute_0_9367,refute_0_9368]) ).
cnf(refute_0_9370,plain,
complement(meet(skolemFOFtoCNF_X0,X_701)) = complement(meet(X_701,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(join(complement(one),join(complement(one),meet(one,complement(meet(X_701,skolemFOFtoCNF_X0))))),complement(meet(X_701,skolemFOFtoCNF_X0))) )],[refute_0_9350,refute_0_9369]) ).
cnf(refute_0_9371,plain,
complement(meet(skolemFOFtoCNF_X0,X_703)) = complement(meet(X_703,skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_9370:[bind(X_701,$fot(X_703))]]) ).
cnf(refute_0_9372,plain,
( complement(meet(skolemFOFtoCNF_X0,X_703)) != complement(meet(X_703,skolemFOFtoCNF_X0))
| complement(meet(X_703,skolemFOFtoCNF_X0)) = complement(meet(skolemFOFtoCNF_X0,X_703)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(complement(meet(skolemFOFtoCNF_X0,X_703)))),bind(Y,$fot(complement(meet(X_703,skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_9373,plain,
complement(meet(X_703,skolemFOFtoCNF_X0)) = complement(meet(skolemFOFtoCNF_X0,X_703)),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0,X_703)),complement(meet(X_703,skolemFOFtoCNF_X0))) )],[refute_0_9371,refute_0_9372]) ).
cnf(refute_0_9374,plain,
( complement(meet(X_703,skolemFOFtoCNF_X0)) != complement(meet(skolemFOFtoCNF_X0,X_703))
| zero != meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(X_703,skolemFOFtoCNF_X0)))
| zero = meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_703))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(X_703,skolemFOFtoCNF_X0)))) ),[1,1],$fot(complement(meet(skolemFOFtoCNF_X0,X_703)))]]) ).
cnf(refute_0_9375,plain,
( zero != meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(X_703,skolemFOFtoCNF_X0)))
| zero = meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_703))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_703,skolemFOFtoCNF_X0)),complement(meet(skolemFOFtoCNF_X0,X_703))) )],[refute_0_9373,refute_0_9374]) ).
cnf(refute_0_9376,plain,
zero = meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_703))),
inference(resolve,[$cnf( $equal(zero,meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(X_703,skolemFOFtoCNF_X0)))) )],[refute_0_9292,refute_0_9375]) ).
cnf(refute_0_9377,plain,
( zero != meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_703)))
| meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_703))) = zero ),
inference(subst,[],[refute_0_8:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_703)))))]]) ).
cnf(refute_0_9378,plain,
meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_703))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(X_703,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_703)))) )],[refute_0_9376,refute_0_9377]) ).
cnf(refute_0_9379,plain,
meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))) = zero,
inference(subst,[],[refute_0_9378:[bind(X_703,$fot(X_682))]]) ).
cnf(refute_0_9380,plain,
join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) = join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))),
introduced(tautology,[refl,[$fot(join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))))]]) ).
cnf(refute_0_9381,plain,
( join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) != join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))
| meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))) != zero
| join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) = join(meet(skolemFOFtoCNF_X0,X_682),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))),join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_9382,plain,
( meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))) != zero
| join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) = join(meet(skolemFOFtoCNF_X0,X_682),zero) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))),join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))) )],[refute_0_9380,refute_0_9381]) ).
cnf(refute_0_9383,plain,
join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) = join(meet(skolemFOFtoCNF_X0,X_682),zero),
inference(resolve,[$cnf( $equal(meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))),zero) )],[refute_0_9379,refute_0_9382]) ).
cnf(refute_0_9384,plain,
( join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) != join(meet(skolemFOFtoCNF_X0,X_682),zero)
| join(meet(skolemFOFtoCNF_X0,X_682),zero) != meet(skolemFOFtoCNF_X0,X_682)
| join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) = meet(skolemFOFtoCNF_X0,X_682) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))))),bind(Y,$fot(join(meet(skolemFOFtoCNF_X0,X_682),zero))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,X_682)))]]) ).
cnf(refute_0_9385,plain,
( join(meet(skolemFOFtoCNF_X0,X_682),zero) != meet(skolemFOFtoCNF_X0,X_682)
| join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) = meet(skolemFOFtoCNF_X0,X_682) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))),join(meet(skolemFOFtoCNF_X0,X_682),zero)) )],[refute_0_9383,refute_0_9384]) ).
cnf(refute_0_9386,plain,
join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) = meet(skolemFOFtoCNF_X0,X_682),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_682),zero),meet(skolemFOFtoCNF_X0,X_682)) )],[refute_0_9291,refute_0_9385]) ).
cnf(refute_0_9387,plain,
( join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))) != meet(skolemFOFtoCNF_X0,X_682)
| meet(X_682,skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))
| meet(X_682,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_682) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_682,skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))) ),[1],$fot(meet(skolemFOFtoCNF_X0,X_682))]]) ).
cnf(refute_0_9388,plain,
( meet(X_682,skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))
| meet(X_682,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_682) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682)))),meet(skolemFOFtoCNF_X0,X_682)) )],[refute_0_9386,refute_0_9387]) ).
cnf(refute_0_9389,plain,
meet(X_682,skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,X_682),
inference(resolve,[$cnf( $equal(meet(X_682,skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X0,X_682),meet(meet(X_682,skolemFOFtoCNF_X0),complement(meet(skolemFOFtoCNF_X0,X_682))))) )],[refute_0_9290,refute_0_9388]) ).
cnf(refute_0_9390,plain,
meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) = meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),
inference(subst,[],[refute_0_9389:[bind(X_682,$fot(complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9391,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9392,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9393,plain,
( meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) != meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) )],[refute_0_9391,refute_0_9392]) ).
cnf(refute_0_9394,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9390,refute_0_9393]) ).
cnf(refute_0_9395,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))
| skolemFOFtoCNF_X0 != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) ),[1],$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9396,plain,
( skolemFOFtoCNF_X0 != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0)),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9394,refute_0_9395]) ).
cnf(refute_0_9397,plain,
( join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))
| skolemFOFtoCNF_X0 = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) )],[refute_0_9205,refute_0_9396]) ).
cnf(refute_0_9398,plain,
skolemFOFtoCNF_X0 = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(complement(meet(one,composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0))) )],[refute_0_9203,refute_0_9397]) ).
cnf(refute_0_9399,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero) = meet(one,composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_571:[bind(X_66,$fot(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9400,plain,
meet(composition(X_676,one),complement(composition(X_676,top))) = zero,
inference(subst,[],[refute_0_8492:[bind(X_671,$fot(X_676)),bind(X_672,$fot(one))]]) ).
cnf(refute_0_9401,plain,
composition(X_676,one) = X_676,
inference(subst,[],[refute_0_64:[bind(X0,$fot(X_676))]]) ).
cnf(refute_0_9402,plain,
( composition(X_676,one) != X_676
| meet(composition(X_676,one),complement(composition(X_676,top))) != zero
| meet(X_676,complement(composition(X_676,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(X_676,one),complement(composition(X_676,top))),zero) ),[0,0],$fot(X_676)]]) ).
cnf(refute_0_9403,plain,
( meet(composition(X_676,one),complement(composition(X_676,top))) != zero
| meet(X_676,complement(composition(X_676,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(X_676,one),X_676) )],[refute_0_9401,refute_0_9402]) ).
cnf(refute_0_9404,plain,
meet(X_676,complement(composition(X_676,top))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(X_676,one),complement(composition(X_676,top))),zero) )],[refute_0_9400,refute_0_9403]) ).
cnf(refute_0_9405,plain,
meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) = zero,
inference(subst,[],[refute_0_9404:[bind(X_676,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9406,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),meet(X_149,meet(skolemFOFtoCNF_X0,complement(meet(one,X_149)))))),
inference(subst,[],[refute_0_4271:[bind(X_150,$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149)))))]]) ).
cnf(refute_0_9407,plain,
meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) = complement(join(complement(X_973),join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),
inference(subst,[],[refute_0_328:[bind(X0,$fot(X_973)),bind(X_27,$fot(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))]]) ).
cnf(refute_0_9408,plain,
join(complement(complement(X0)),join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) = top,
inference(subst,[],[refute_0_8898:[bind(X_149,$fot(complement(X0)))]]) ).
cnf(refute_0_9409,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) != top
| join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))),top) ),[0,0],$fot(X0)]]) ).
cnf(refute_0_9410,plain,
( join(complement(complement(X0)),join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) != top
| join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_9409]) ).
cnf(refute_0_9411,plain,
join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) = top,
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))),top) )],[refute_0_9408,refute_0_9410]) ).
cnf(refute_0_9412,plain,
meet(complement(X0),one) = meet(one,complement(X0)),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(X0)))]]) ).
cnf(refute_0_9413,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)) = join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)),
introduced(tautology,[refl,[$fot(join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)))]]) ).
cnf(refute_0_9414,plain,
( join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)) != join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))
| meet(complement(X0),one) != meet(one,complement(X0))
| join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)),join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) ),[1,1],$fot(meet(one,complement(X0)))]]) ).
cnf(refute_0_9415,plain,
( meet(complement(X0),one) != meet(one,complement(X0))
| join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0))) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)),join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) )],[refute_0_9413,refute_0_9414]) ).
cnf(refute_0_9416,plain,
join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)) = join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0))),
inference(resolve,[$cnf( $equal(meet(complement(X0),one),meet(one,complement(X0))) )],[refute_0_9412,refute_0_9415]) ).
cnf(refute_0_9417,plain,
join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) = join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))),
introduced(tautology,[refl,[$fot(join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))))]]) ).
cnf(refute_0_9418,plain,
( join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) != join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)))
| join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)) != join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))
| join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) = join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))),join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)))) ),[1,1],$fot(join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0))))]]) ).
cnf(refute_0_9419,plain,
( join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)) != join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))
| join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) = join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))),join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)))) )],[refute_0_9417,refute_0_9418]) ).
cnf(refute_0_9420,plain,
join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) = join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one)),join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))) )],[refute_0_9416,refute_0_9419]) ).
cnf(refute_0_9421,plain,
( join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) != join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0))))
| join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) != top
| join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))),top) ),[0],$fot(join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))))]]) ).
cnf(refute_0_9422,plain,
( join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))) != top
| join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))) = top ),
inference(resolve,[$cnf( $equal(join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))),join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0))))) )],[refute_0_9420,refute_0_9421]) ).
cnf(refute_0_9423,plain,
join(X0,join(complement(skolemFOFtoCNF_X0),meet(one,complement(X0)))) = top,
inference(resolve,[$cnf( $equal(join(X0,join(complement(skolemFOFtoCNF_X0),meet(complement(X0),one))),top) )],[refute_0_9411,refute_0_9422]) ).
cnf(refute_0_9424,plain,
join(complement(X_973),join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) = top,
inference(subst,[],[refute_0_9423:[bind(X0,$fot(complement(X_973)))]]) ).
cnf(refute_0_9425,plain,
( join(complement(X_973),join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) != top
| meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) != complement(join(complement(X_973),join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))
| meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),complement(join(complement(X_973),join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_9426,plain,
( meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) != complement(join(complement(X_973),join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))
| meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_973),join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))),top) )],[refute_0_9424,refute_0_9425]) ).
cnf(refute_0_9427,plain,
meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),complement(join(complement(X_973),join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))) )],[refute_0_9407,refute_0_9426]) ).
cnf(refute_0_9428,plain,
join(complement(one),complement(X_973)) = complement(meet(one,X_973)),
inference(subst,[],[refute_0_1197:[bind(X0,$fot(one)),bind(X1,$fot(X_973))]]) ).
cnf(refute_0_9429,plain,
join(complement(X_973),X_974) = complement(complement(join(complement(X_973),X_974))),
inference(subst,[],[refute_0_301:[bind(X0,$fot(join(complement(X_973),X_974)))]]) ).
cnf(refute_0_9430,plain,
meet(X_973,complement(X_974)) = complement(join(complement(X_973),X_974)),
inference(subst,[],[refute_0_328:[bind(X0,$fot(X_973)),bind(X_27,$fot(X_974))]]) ).
cnf(refute_0_9431,plain,
( meet(X_973,complement(X_974)) != complement(join(complement(X_973),X_974))
| complement(join(complement(X_973),X_974)) = meet(X_973,complement(X_974)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_973,complement(X_974)))),bind(Y,$fot(complement(join(complement(X_973),X_974))))]]) ).
cnf(refute_0_9432,plain,
complement(join(complement(X_973),X_974)) = meet(X_973,complement(X_974)),
inference(resolve,[$cnf( $equal(meet(X_973,complement(X_974)),complement(join(complement(X_973),X_974))) )],[refute_0_9430,refute_0_9431]) ).
cnf(refute_0_9433,plain,
( complement(join(complement(X_973),X_974)) != meet(X_973,complement(X_974))
| join(complement(X_973),X_974) != complement(complement(join(complement(X_973),X_974)))
| join(complement(X_973),X_974) = complement(meet(X_973,complement(X_974))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_973),X_974),complement(complement(join(complement(X_973),X_974)))) ),[1,0],$fot(meet(X_973,complement(X_974)))]]) ).
cnf(refute_0_9434,plain,
( join(complement(X_973),X_974) != complement(complement(join(complement(X_973),X_974)))
| join(complement(X_973),X_974) = complement(meet(X_973,complement(X_974))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_973),X_974)),meet(X_973,complement(X_974))) )],[refute_0_9432,refute_0_9433]) ).
cnf(refute_0_9435,plain,
join(complement(X_973),X_974) = complement(meet(X_973,complement(X_974))),
inference(resolve,[$cnf( $equal(join(complement(X_973),X_974),complement(complement(join(complement(X_973),X_974)))) )],[refute_0_9429,refute_0_9434]) ).
cnf(refute_0_9436,plain,
( join(complement(X_973),X_974) != complement(meet(X_973,complement(X_974)))
| complement(meet(X_973,complement(X_974))) = join(complement(X_973),X_974) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(complement(X_973),X_974))),bind(Y,$fot(complement(meet(X_973,complement(X_974)))))]]) ).
cnf(refute_0_9437,plain,
complement(meet(X_973,complement(X_974))) = join(complement(X_973),X_974),
inference(resolve,[$cnf( $equal(join(complement(X_973),X_974),complement(meet(X_973,complement(X_974)))) )],[refute_0_9435,refute_0_9436]) ).
cnf(refute_0_9438,plain,
complement(meet(one,complement(complement(X_973)))) = join(complement(one),complement(X_973)),
inference(subst,[],[refute_0_9437:[bind(X_973,$fot(one)),bind(X_974,$fot(complement(X_973)))]]) ).
cnf(refute_0_9439,plain,
( complement(meet(one,complement(complement(X_973)))) != join(complement(one),complement(X_973))
| join(complement(one),complement(X_973)) != complement(meet(one,X_973))
| complement(meet(one,complement(complement(X_973)))) = complement(meet(one,X_973)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(meet(one,complement(complement(X_973)))))),bind(Y,$fot(join(complement(one),complement(X_973)))),bind(Z,$fot(complement(meet(one,X_973))))]]) ).
cnf(refute_0_9440,plain,
( join(complement(one),complement(X_973)) != complement(meet(one,X_973))
| complement(meet(one,complement(complement(X_973)))) = complement(meet(one,X_973)) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(complement(X_973)))),join(complement(one),complement(X_973))) )],[refute_0_9438,refute_0_9439]) ).
cnf(refute_0_9441,plain,
complement(meet(one,complement(complement(X_973)))) = complement(meet(one,X_973)),
inference(resolve,[$cnf( $equal(join(complement(one),complement(X_973)),complement(meet(one,X_973))) )],[refute_0_9428,refute_0_9440]) ).
cnf(refute_0_9442,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))) = meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))))]]) ).
cnf(refute_0_9443,plain,
( complement(meet(one,complement(complement(X_973)))) != complement(meet(one,X_973))
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))) != meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973)))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))) = meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973)))))) ),[1,1],$fot(complement(meet(one,X_973)))]]) ).
cnf(refute_0_9444,plain,
( complement(meet(one,complement(complement(X_973)))) != complement(meet(one,X_973))
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))) = meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973)))))) )],[refute_0_9442,refute_0_9443]) ).
cnf(refute_0_9445,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))) = meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(complement(X_973)))),complement(meet(one,X_973))) )],[refute_0_9441,refute_0_9444]) ).
cnf(refute_0_9446,plain,
complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) = meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))),
inference(subst,[],[refute_0_4505:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X_27,$fot(meet(one,complement(complement(X_973)))))]]) ).
cnf(refute_0_9447,plain,
( complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) != meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973)))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))) != meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))
| complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) = meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))))]]) ).
cnf(refute_0_9448,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))) != meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))
| complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) = meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973)))))) )],[refute_0_9446,refute_0_9447]) ).
cnf(refute_0_9449,plain,
complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) = meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(complement(X_973))))),meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) )],[refute_0_9445,refute_0_9448]) ).
cnf(refute_0_9450,plain,
meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) = meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),
introduced(tautology,[refl,[$fot(meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))))]]) ).
cnf(refute_0_9451,plain,
( complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) != meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))
| meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) != meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))
| meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) = meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))) ),[1,1],$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))))]]) ).
cnf(refute_0_9452,plain,
( complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))) != meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))
| meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) = meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) ),
inference(resolve,[$cnf( $equal(meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))))) )],[refute_0_9450,refute_0_9451]) ).
cnf(refute_0_9453,plain,
meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) = meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))),
inference(resolve,[$cnf( $equal(complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973))))),meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) )],[refute_0_9449,refute_0_9452]) ).
cnf(refute_0_9454,plain,
( meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) != complement(top)
| meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) != meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))))
| meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),complement(top)) ),[0],$fot(meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))))]]) ).
cnf(refute_0_9455,plain,
( meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) != complement(top)
| meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973))))) )],[refute_0_9453,refute_0_9454]) ).
cnf(refute_0_9456,plain,
( complement(top) != zero
| meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) != complement(top)
| meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_9457,plain,
( meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) != complement(top)
| meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_36,refute_0_9456]) ).
cnf(refute_0_9458,plain,
( meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))) != complement(top)
| meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))),complement(top)) )],[refute_0_9455,refute_0_9457]) ).
cnf(refute_0_9459,plain,
meet(X_973,meet(skolemFOFtoCNF_X0,complement(meet(one,X_973)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_973,complement(join(complement(skolemFOFtoCNF_X0),meet(one,complement(complement(X_973)))))),complement(top)) )],[refute_0_9427,refute_0_9458]) ).
cnf(refute_0_9460,plain,
meet(X_149,meet(skolemFOFtoCNF_X0,complement(meet(one,X_149)))) = zero,
inference(subst,[],[refute_0_9459:[bind(X_973,$fot(X_149))]]) ).
cnf(refute_0_9461,plain,
( meet(X_149,meet(skolemFOFtoCNF_X0,complement(meet(one,X_149)))) != zero
| meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),meet(X_149,meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),meet(X_149,meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_9462,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),meet(X_149,meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_149,meet(skolemFOFtoCNF_X0,complement(meet(one,X_149)))),zero) )],[refute_0_9460,refute_0_9461]) ).
cnf(refute_0_9463,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),meet(X_149,meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))))))) )],[refute_0_9406,refute_0_9462]) ).
cnf(refute_0_9464,plain,
join(X_149,meet(one,X_149)) = X_149,
inference(subst,[],[refute_0_2992:[bind(X_54,$fot(X_149)),bind(X_55,$fot(one))]]) ).
cnf(refute_0_9465,plain,
join(meet(one,X_149),X_149) = join(X_149,meet(one,X_149)),
inference(subst,[],[refute_0_51:[bind(X0,$fot(X_149)),bind(X1,$fot(meet(one,X_149)))]]) ).
cnf(refute_0_9466,plain,
( join(X_149,meet(one,X_149)) != X_149
| join(meet(one,X_149),X_149) != join(X_149,meet(one,X_149))
| join(meet(one,X_149),X_149) = X_149 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,X_149),X_149))),bind(Y,$fot(join(X_149,meet(one,X_149)))),bind(Z,$fot(X_149))]]) ).
cnf(refute_0_9467,plain,
( join(X_149,meet(one,X_149)) != X_149
| join(meet(one,X_149),X_149) = X_149 ),
inference(resolve,[$cnf( $equal(join(meet(one,X_149),X_149),join(X_149,meet(one,X_149))) )],[refute_0_9465,refute_0_9466]) ).
cnf(refute_0_9468,plain,
join(meet(one,X_149),X_149) = X_149,
inference(resolve,[$cnf( $equal(join(X_149,meet(one,X_149)),X_149) )],[refute_0_9464,refute_0_9467]) ).
cnf(refute_0_9469,plain,
meet(X_149,top) = X_149,
inference(subst,[],[refute_0_521:[bind(X0,$fot(X_149))]]) ).
cnf(refute_0_9470,plain,
meet(X_149,complement(zero)) = meet(X_149,complement(zero)),
introduced(tautology,[refl,[$fot(meet(X_149,complement(zero)))]]) ).
cnf(refute_0_9471,plain,
( complement(zero) != top
| meet(X_149,complement(zero)) != meet(X_149,complement(zero))
| meet(X_149,complement(zero)) = meet(X_149,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_149,complement(zero)),meet(X_149,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_9472,plain,
( complement(zero) != top
| meet(X_149,complement(zero)) = meet(X_149,top) ),
inference(resolve,[$cnf( $equal(meet(X_149,complement(zero)),meet(X_149,complement(zero))) )],[refute_0_9470,refute_0_9471]) ).
cnf(refute_0_9473,plain,
meet(X_149,complement(zero)) = meet(X_149,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_656,refute_0_9472]) ).
cnf(refute_0_9474,plain,
( meet(X_149,complement(zero)) != meet(X_149,top)
| meet(X_149,top) != X_149
| meet(X_149,complement(zero)) = X_149 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(X_149,complement(zero)))),bind(Y,$fot(meet(X_149,top))),bind(Z,$fot(X_149))]]) ).
cnf(refute_0_9475,plain,
( meet(X_149,top) != X_149
| meet(X_149,complement(zero)) = X_149 ),
inference(resolve,[$cnf( $equal(meet(X_149,complement(zero)),meet(X_149,top)) )],[refute_0_9473,refute_0_9474]) ).
cnf(refute_0_9476,plain,
meet(X_149,complement(zero)) = X_149,
inference(resolve,[$cnf( $equal(meet(X_149,top),X_149) )],[refute_0_9469,refute_0_9475]) ).
cnf(refute_0_9477,plain,
join(meet(one,X_149),meet(X_149,complement(zero))) = join(meet(one,X_149),meet(X_149,complement(zero))),
introduced(tautology,[refl,[$fot(join(meet(one,X_149),meet(X_149,complement(zero))))]]) ).
cnf(refute_0_9478,plain,
( join(meet(one,X_149),meet(X_149,complement(zero))) != join(meet(one,X_149),meet(X_149,complement(zero)))
| meet(X_149,complement(zero)) != X_149
| join(meet(one,X_149),meet(X_149,complement(zero))) = join(meet(one,X_149),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,X_149),meet(X_149,complement(zero))),join(meet(one,X_149),meet(X_149,complement(zero)))) ),[1,1],$fot(X_149)]]) ).
cnf(refute_0_9479,plain,
( meet(X_149,complement(zero)) != X_149
| join(meet(one,X_149),meet(X_149,complement(zero))) = join(meet(one,X_149),X_149) ),
inference(resolve,[$cnf( $equal(join(meet(one,X_149),meet(X_149,complement(zero))),join(meet(one,X_149),meet(X_149,complement(zero)))) )],[refute_0_9477,refute_0_9478]) ).
cnf(refute_0_9480,plain,
join(meet(one,X_149),meet(X_149,complement(zero))) = join(meet(one,X_149),X_149),
inference(resolve,[$cnf( $equal(meet(X_149,complement(zero)),X_149) )],[refute_0_9476,refute_0_9479]) ).
cnf(refute_0_9481,plain,
( join(meet(one,X_149),X_149) != X_149
| join(meet(one,X_149),meet(X_149,complement(zero))) != join(meet(one,X_149),X_149)
| join(meet(one,X_149),meet(X_149,complement(zero))) = X_149 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,X_149),meet(X_149,complement(zero))))),bind(Y,$fot(join(meet(one,X_149),X_149))),bind(Z,$fot(X_149))]]) ).
cnf(refute_0_9482,plain,
( join(meet(one,X_149),X_149) != X_149
| join(meet(one,X_149),meet(X_149,complement(zero))) = X_149 ),
inference(resolve,[$cnf( $equal(join(meet(one,X_149),meet(X_149,complement(zero))),join(meet(one,X_149),X_149)) )],[refute_0_9480,refute_0_9481]) ).
cnf(refute_0_9483,plain,
join(meet(one,X_149),meet(X_149,complement(zero))) = X_149,
inference(resolve,[$cnf( $equal(join(meet(one,X_149),X_149),X_149) )],[refute_0_9468,refute_0_9482]) ).
cnf(refute_0_9484,plain,
complement(join(meet(one,X_149),meet(X_149,complement(zero)))) = complement(join(meet(one,X_149),meet(X_149,complement(zero)))),
introduced(tautology,[refl,[$fot(complement(join(meet(one,X_149),meet(X_149,complement(zero)))))]]) ).
cnf(refute_0_9485,plain,
( complement(join(meet(one,X_149),meet(X_149,complement(zero)))) != complement(join(meet(one,X_149),meet(X_149,complement(zero))))
| join(meet(one,X_149),meet(X_149,complement(zero))) != X_149
| complement(join(meet(one,X_149),meet(X_149,complement(zero)))) = complement(X_149) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(one,X_149),meet(X_149,complement(zero)))),complement(join(meet(one,X_149),meet(X_149,complement(zero))))) ),[1,0],$fot(X_149)]]) ).
cnf(refute_0_9486,plain,
( join(meet(one,X_149),meet(X_149,complement(zero))) != X_149
| complement(join(meet(one,X_149),meet(X_149,complement(zero)))) = complement(X_149) ),
inference(resolve,[$cnf( $equal(complement(join(meet(one,X_149),meet(X_149,complement(zero)))),complement(join(meet(one,X_149),meet(X_149,complement(zero))))) )],[refute_0_9484,refute_0_9485]) ).
cnf(refute_0_9487,plain,
complement(join(meet(one,X_149),meet(X_149,complement(zero)))) = complement(X_149),
inference(resolve,[$cnf( $equal(join(meet(one,X_149),meet(X_149,complement(zero))),X_149) )],[refute_0_9483,refute_0_9486]) ).
cnf(refute_0_9488,plain,
meet(complement(X_27),join(complement(X_973),X_974)) = complement(join(X_27,complement(join(complement(X_973),X_974)))),
inference(subst,[],[refute_0_1181:[bind(X1,$fot(join(complement(X_973),X_974)))]]) ).
cnf(refute_0_9489,plain,
( complement(join(complement(X_973),X_974)) != meet(X_973,complement(X_974))
| meet(complement(X_27),join(complement(X_973),X_974)) != complement(join(X_27,complement(join(complement(X_973),X_974))))
| meet(complement(X_27),join(complement(X_973),X_974)) = complement(join(X_27,meet(X_973,complement(X_974)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_27),join(complement(X_973),X_974)),complement(join(X_27,complement(join(complement(X_973),X_974))))) ),[1,0,1],$fot(meet(X_973,complement(X_974)))]]) ).
cnf(refute_0_9490,plain,
( meet(complement(X_27),join(complement(X_973),X_974)) != complement(join(X_27,complement(join(complement(X_973),X_974))))
| meet(complement(X_27),join(complement(X_973),X_974)) = complement(join(X_27,meet(X_973,complement(X_974)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_973),X_974)),meet(X_973,complement(X_974))) )],[refute_0_9432,refute_0_9489]) ).
cnf(refute_0_9491,plain,
meet(complement(X_27),join(complement(X_973),X_974)) = complement(join(X_27,meet(X_973,complement(X_974)))),
inference(resolve,[$cnf( $equal(meet(complement(X_27),join(complement(X_973),X_974)),complement(join(X_27,complement(join(complement(X_973),X_974))))) )],[refute_0_9488,refute_0_9490]) ).
cnf(refute_0_9492,plain,
meet(complement(meet(one,X_149)),join(complement(X_149),zero)) = complement(join(meet(one,X_149),meet(X_149,complement(zero)))),
inference(subst,[],[refute_0_9491:[bind(X_27,$fot(meet(one,X_149))),bind(X_973,$fot(X_149)),bind(X_974,$fot(zero))]]) ).
cnf(refute_0_9493,plain,
( complement(join(meet(one,X_149),meet(X_149,complement(zero)))) != complement(X_149)
| meet(complement(meet(one,X_149)),join(complement(X_149),zero)) != complement(join(meet(one,X_149),meet(X_149,complement(zero))))
| meet(complement(meet(one,X_149)),join(complement(X_149),zero)) = complement(X_149) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(meet(one,X_149)),join(complement(X_149),zero)))),bind(Y,$fot(complement(join(meet(one,X_149),meet(X_149,complement(zero)))))),bind(Z,$fot(complement(X_149)))]]) ).
cnf(refute_0_9494,plain,
( complement(join(meet(one,X_149),meet(X_149,complement(zero)))) != complement(X_149)
| meet(complement(meet(one,X_149)),join(complement(X_149),zero)) = complement(X_149) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,X_149)),join(complement(X_149),zero)),complement(join(meet(one,X_149),meet(X_149,complement(zero))))) )],[refute_0_9492,refute_0_9493]) ).
cnf(refute_0_9495,plain,
meet(complement(meet(one,X_149)),join(complement(X_149),zero)) = complement(X_149),
inference(resolve,[$cnf( $equal(complement(join(meet(one,X_149),meet(X_149,complement(zero)))),complement(X_149)) )],[refute_0_9487,refute_0_9494]) ).
cnf(refute_0_9496,plain,
meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))) = meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))))]]) ).
cnf(refute_0_9497,plain,
( meet(complement(meet(one,X_149)),join(complement(X_149),zero)) != complement(X_149)
| meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))) != meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero)))
| meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))) = meet(skolemFOFtoCNF_X0,complement(X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))),meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero)))) ),[1,1],$fot(complement(X_149))]]) ).
cnf(refute_0_9498,plain,
( meet(complement(meet(one,X_149)),join(complement(X_149),zero)) != complement(X_149)
| meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))) = meet(skolemFOFtoCNF_X0,complement(X_149)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))),meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero)))) )],[refute_0_9496,refute_0_9497]) ).
cnf(refute_0_9499,plain,
meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))) = meet(skolemFOFtoCNF_X0,complement(X_149)),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,X_149)),join(complement(X_149),zero)),complement(X_149)) )],[refute_0_9495,refute_0_9498]) ).
cnf(refute_0_9500,plain,
meet(X_973,complement(join(X_27,complement(X1)))) = complement(join(complement(X_973),join(X_27,complement(X1)))),
inference(subst,[],[refute_0_328:[bind(X0,$fot(X_973)),bind(X_27,$fot(join(X_27,complement(X1))))]]) ).
cnf(refute_0_9501,plain,
( complement(join(X_27,complement(X1))) != meet(complement(X_27),X1)
| meet(X_973,complement(join(X_27,complement(X1)))) != complement(join(complement(X_973),join(X_27,complement(X1))))
| meet(X_973,meet(complement(X_27),X1)) = complement(join(complement(X_973),join(X_27,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_973,complement(join(X_27,complement(X1)))),complement(join(complement(X_973),join(X_27,complement(X1))))) ),[0,1],$fot(meet(complement(X_27),X1))]]) ).
cnf(refute_0_9502,plain,
( meet(X_973,complement(join(X_27,complement(X1)))) != complement(join(complement(X_973),join(X_27,complement(X1))))
| meet(X_973,meet(complement(X_27),X1)) = complement(join(complement(X_973),join(X_27,complement(X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_27,complement(X1))),meet(complement(X_27),X1)) )],[refute_0_1183,refute_0_9501]) ).
cnf(refute_0_9503,plain,
meet(X_973,meet(complement(X_27),X1)) = complement(join(complement(X_973),join(X_27,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(X_973,complement(join(X_27,complement(X1)))),complement(join(complement(X_973),join(X_27,complement(X1))))) )],[refute_0_9500,refute_0_9502]) ).
cnf(refute_0_9504,plain,
complement(join(complement(X_973),X_27)) = meet(X_973,complement(X_27)),
inference(subst,[],[refute_0_4505:[bind(X0,$fot(X_973))]]) ).
cnf(refute_0_9505,plain,
meet(complement(join(complement(X_973),X_27)),X1) = meet(complement(join(complement(X_973),X_27)),X1),
introduced(tautology,[refl,[$fot(meet(complement(join(complement(X_973),X_27)),X1))]]) ).
cnf(refute_0_9506,plain,
( complement(join(complement(X_973),X_27)) != meet(X_973,complement(X_27))
| meet(complement(join(complement(X_973),X_27)),X1) != meet(complement(join(complement(X_973),X_27)),X1)
| meet(complement(join(complement(X_973),X_27)),X1) = meet(meet(X_973,complement(X_27)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(X_973),X_27)),X1),meet(complement(join(complement(X_973),X_27)),X1)) ),[1,0],$fot(meet(X_973,complement(X_27)))]]) ).
cnf(refute_0_9507,plain,
( complement(join(complement(X_973),X_27)) != meet(X_973,complement(X_27))
| meet(complement(join(complement(X_973),X_27)),X1) = meet(meet(X_973,complement(X_27)),X1) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_973),X_27)),X1),meet(complement(join(complement(X_973),X_27)),X1)) )],[refute_0_9505,refute_0_9506]) ).
cnf(refute_0_9508,plain,
meet(complement(join(complement(X_973),X_27)),X1) = meet(meet(X_973,complement(X_27)),X1),
inference(resolve,[$cnf( $equal(complement(join(complement(X_973),X_27)),meet(X_973,complement(X_27))) )],[refute_0_9504,refute_0_9507]) ).
cnf(refute_0_9509,plain,
meet(complement(join(X0,X1)),X_600) = complement(join(join(X0,X1),complement(X_600))),
inference(subst,[],[refute_0_1181:[bind(X1,$fot(X_600)),bind(X_27,$fot(join(X0,X1)))]]) ).
cnf(refute_0_9510,plain,
join(X0,join(X1,complement(X_600))) = join(join(X0,X1),complement(X_600)),
inference(subst,[],[refute_0_46:[bind(X2,$fot(complement(X_600)))]]) ).
cnf(refute_0_9511,plain,
( join(X0,join(X1,complement(X_600))) != join(join(X0,X1),complement(X_600))
| join(join(X0,X1),complement(X_600)) = join(X0,join(X1,complement(X_600))) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(join(X0,join(X1,complement(X_600))))),bind(Y,$fot(join(join(X0,X1),complement(X_600))))]]) ).
cnf(refute_0_9512,plain,
join(join(X0,X1),complement(X_600)) = join(X0,join(X1,complement(X_600))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,complement(X_600))),join(join(X0,X1),complement(X_600))) )],[refute_0_9510,refute_0_9511]) ).
cnf(refute_0_9513,plain,
( join(join(X0,X1),complement(X_600)) != join(X0,join(X1,complement(X_600)))
| meet(complement(join(X0,X1)),X_600) != complement(join(join(X0,X1),complement(X_600)))
| meet(complement(join(X0,X1)),X_600) = complement(join(X0,join(X1,complement(X_600)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X0,X1)),X_600),complement(join(join(X0,X1),complement(X_600)))) ),[1,0],$fot(join(X0,join(X1,complement(X_600))))]]) ).
cnf(refute_0_9514,plain,
( meet(complement(join(X0,X1)),X_600) != complement(join(join(X0,X1),complement(X_600)))
| meet(complement(join(X0,X1)),X_600) = complement(join(X0,join(X1,complement(X_600)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),complement(X_600)),join(X0,join(X1,complement(X_600)))) )],[refute_0_9512,refute_0_9513]) ).
cnf(refute_0_9515,plain,
meet(complement(join(X0,X1)),X_600) = complement(join(X0,join(X1,complement(X_600)))),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_600),complement(join(join(X0,X1),complement(X_600)))) )],[refute_0_9509,refute_0_9514]) ).
cnf(refute_0_9516,plain,
( meet(complement(join(X0,X1)),X_600) != complement(join(X0,join(X1,complement(X_600))))
| complement(join(X0,join(X1,complement(X_600)))) = meet(complement(join(X0,X1)),X_600) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(complement(join(X0,X1)),X_600))),bind(Y,$fot(complement(join(X0,join(X1,complement(X_600))))))]]) ).
cnf(refute_0_9517,plain,
complement(join(X0,join(X1,complement(X_600)))) = meet(complement(join(X0,X1)),X_600),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_600),complement(join(X0,join(X1,complement(X_600))))) )],[refute_0_9515,refute_0_9516]) ).
cnf(refute_0_9518,plain,
complement(join(complement(X_973),join(X_27,complement(X1)))) = meet(complement(join(complement(X_973),X_27)),X1),
inference(subst,[],[refute_0_9517:[bind(X0,$fot(complement(X_973))),bind(X1,$fot(X_27)),bind(X_600,$fot(X1))]]) ).
cnf(refute_0_9519,plain,
( complement(join(complement(X_973),join(X_27,complement(X1)))) != meet(complement(join(complement(X_973),X_27)),X1)
| meet(complement(join(complement(X_973),X_27)),X1) != meet(meet(X_973,complement(X_27)),X1)
| complement(join(complement(X_973),join(X_27,complement(X1)))) = meet(meet(X_973,complement(X_27)),X1) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(complement(join(complement(X_973),join(X_27,complement(X1)))))),bind(Y,$fot(meet(complement(join(complement(X_973),X_27)),X1))),bind(Z,$fot(meet(meet(X_973,complement(X_27)),X1)))]]) ).
cnf(refute_0_9520,plain,
( meet(complement(join(complement(X_973),X_27)),X1) != meet(meet(X_973,complement(X_27)),X1)
| complement(join(complement(X_973),join(X_27,complement(X1)))) = meet(meet(X_973,complement(X_27)),X1) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_973),join(X_27,complement(X1)))),meet(complement(join(complement(X_973),X_27)),X1)) )],[refute_0_9518,refute_0_9519]) ).
cnf(refute_0_9521,plain,
complement(join(complement(X_973),join(X_27,complement(X1)))) = meet(meet(X_973,complement(X_27)),X1),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_973),X_27)),X1),meet(meet(X_973,complement(X_27)),X1)) )],[refute_0_9508,refute_0_9520]) ).
cnf(refute_0_9522,plain,
( complement(join(complement(X_973),join(X_27,complement(X1)))) != meet(meet(X_973,complement(X_27)),X1)
| meet(X_973,meet(complement(X_27),X1)) != complement(join(complement(X_973),join(X_27,complement(X1))))
| meet(X_973,meet(complement(X_27),X1)) = meet(meet(X_973,complement(X_27)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_973,meet(complement(X_27),X1)),complement(join(complement(X_973),join(X_27,complement(X1))))) ),[1],$fot(meet(meet(X_973,complement(X_27)),X1))]]) ).
cnf(refute_0_9523,plain,
( meet(X_973,meet(complement(X_27),X1)) != complement(join(complement(X_973),join(X_27,complement(X1))))
| meet(X_973,meet(complement(X_27),X1)) = meet(meet(X_973,complement(X_27)),X1) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_973),join(X_27,complement(X1)))),meet(meet(X_973,complement(X_27)),X1)) )],[refute_0_9521,refute_0_9522]) ).
cnf(refute_0_9524,plain,
meet(X_973,meet(complement(X_27),X1)) = meet(meet(X_973,complement(X_27)),X1),
inference(resolve,[$cnf( $equal(meet(X_973,meet(complement(X_27),X1)),complement(join(complement(X_973),join(X_27,complement(X1))))) )],[refute_0_9503,refute_0_9523]) ).
cnf(refute_0_9525,plain,
( meet(X_973,meet(complement(X_27),X1)) != meet(meet(X_973,complement(X_27)),X1)
| meet(meet(X_973,complement(X_27)),X1) = meet(X_973,meet(complement(X_27),X1)) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(X_973,meet(complement(X_27),X1)))),bind(Y,$fot(meet(meet(X_973,complement(X_27)),X1)))]]) ).
cnf(refute_0_9526,plain,
meet(meet(X_973,complement(X_27)),X1) = meet(X_973,meet(complement(X_27),X1)),
inference(resolve,[$cnf( $equal(meet(X_973,meet(complement(X_27),X1)),meet(meet(X_973,complement(X_27)),X1)) )],[refute_0_9524,refute_0_9525]) ).
cnf(refute_0_9527,plain,
meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)) = meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))),
inference(subst,[],[refute_0_9526:[bind(X1,$fot(join(complement(X_149),zero))),bind(X_27,$fot(meet(one,X_149))),bind(X_973,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9528,plain,
( meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)) != meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero)))
| meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))) != meet(skolemFOFtoCNF_X0,complement(X_149))
| meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)) = meet(skolemFOFtoCNF_X0,complement(X_149)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,complement(X_149))))]]) ).
cnf(refute_0_9529,plain,
( meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))) != meet(skolemFOFtoCNF_X0,complement(X_149))
| meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)) = meet(skolemFOFtoCNF_X0,complement(X_149)) ),
inference(resolve,[$cnf( $equal(meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)),meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero)))) )],[refute_0_9527,refute_0_9528]) ).
cnf(refute_0_9530,plain,
meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)) = meet(skolemFOFtoCNF_X0,complement(X_149)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,X_149)),join(complement(X_149),zero))),meet(skolemFOFtoCNF_X0,complement(X_149))) )],[refute_0_9499,refute_0_9529]) ).
cnf(refute_0_9531,plain,
( meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)) != meet(skolemFOFtoCNF_X0,complement(X_149))
| meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero))
| meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) = meet(skolemFOFtoCNF_X0,complement(X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero))) ),[1],$fot(meet(skolemFOFtoCNF_X0,complement(X_149)))]]) ).
cnf(refute_0_9532,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero))
| meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) = meet(skolemFOFtoCNF_X0,complement(X_149)) ),
inference(resolve,[$cnf( $equal(meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero)),meet(skolemFOFtoCNF_X0,complement(X_149))) )],[refute_0_9530,refute_0_9531]) ).
cnf(refute_0_9533,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))) = meet(skolemFOFtoCNF_X0,complement(X_149)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,X_149))),join(complement(X_149),zero))) )],[refute_0_9463,refute_0_9532]) ).
cnf(refute_0_9534,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) = meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_9533:[bind(X_149,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9535,plain,
( meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != zero
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) != meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) = zero ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_9536,plain,
( meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))) != zero
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) = zero ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9534,refute_0_9535]) ).
cnf(refute_0_9537,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) = zero,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(composition(skolemFOFtoCNF_X0,top))),zero) )],[refute_0_9405,refute_0_9536]) ).
cnf(refute_0_9538,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),
introduced(tautology,[refl,[$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))))]]) ).
cnf(refute_0_9539,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) != zero
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_9540,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))) != zero
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9538,refute_0_9539]) ).
cnf(refute_0_9541,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) = join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))),zero) )],[refute_0_9537,refute_0_9540]) ).
cnf(refute_0_9542,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) != join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero)
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero) != meet(one,composition(skolemFOFtoCNF_X0,top))
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) = meet(one,composition(skolemFOFtoCNF_X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))))),bind(Y,$fot(join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero))),bind(Z,$fot(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9543,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero) != meet(one,composition(skolemFOFtoCNF_X0,top))
| join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) = meet(one,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero)) )],[refute_0_9541,refute_0_9542]) ).
cnf(refute_0_9544,plain,
join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) = meet(one,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),zero),meet(one,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9399,refute_0_9543]) ).
cnf(refute_0_9545,plain,
( join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))) != meet(one,composition(skolemFOFtoCNF_X0,top))
| skolemFOFtoCNF_X0 != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))
| skolemFOFtoCNF_X0 = meet(one,composition(skolemFOFtoCNF_X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))) ),[1],$fot(meet(one,composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9546,plain,
( skolemFOFtoCNF_X0 != join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))
| skolemFOFtoCNF_X0 = meet(one,composition(skolemFOFtoCNF_X0,top)) ),
inference(resolve,[$cnf( $equal(join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top))))),meet(one,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9544,refute_0_9545]) ).
cnf(refute_0_9547,plain,
skolemFOFtoCNF_X0 = meet(one,composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,join(meet(one,composition(skolemFOFtoCNF_X0,top)),meet(skolemFOFtoCNF_X0,complement(meet(one,composition(skolemFOFtoCNF_X0,top)))))) )],[refute_0_9398,refute_0_9546]) ).
cnf(refute_0_9548,plain,
( skolemFOFtoCNF_X0 != meet(one,composition(skolemFOFtoCNF_X0,top))
| meet(one,composition(skolemFOFtoCNF_X0,top)) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(one,composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9549,plain,
meet(one,composition(skolemFOFtoCNF_X0,top)) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(one,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9547,refute_0_9548]) ).
cnf(refute_0_9550,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,top)) != join(complement(one),meet(meet(one,composition(skolemFOFtoCNF_X0,top)),join(complement(one),composition(skolemFOFtoCNF_X0,top))))
| meet(one,composition(skolemFOFtoCNF_X0,top)) != skolemFOFtoCNF_X0
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,top)),join(complement(one),meet(meet(one,composition(skolemFOFtoCNF_X0,top)),join(complement(one),composition(skolemFOFtoCNF_X0,top))))) ),[1,1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9551,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,top)) != join(complement(one),meet(meet(one,composition(skolemFOFtoCNF_X0,top)),join(complement(one),composition(skolemFOFtoCNF_X0,top))))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) )],[refute_0_9549,refute_0_9550]) ).
cnf(refute_0_9552,plain,
join(complement(one),composition(skolemFOFtoCNF_X0,top)) = join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))),
inference(resolve,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,top)),join(complement(one),meet(meet(one,composition(skolemFOFtoCNF_X0,top)),join(complement(one),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_367,refute_0_9551]) ).
cnf(refute_0_9553,plain,
meet(X_341,composition(X_341,top)) = complement(complement(meet(X_341,composition(X_341,top)))),
inference(subst,[],[refute_0_301:[bind(X0,$fot(meet(X_341,composition(X_341,top))))]]) ).
cnf(refute_0_9554,plain,
join(complement(converse(converse(X0))),composition(complement(converse(composition(top,converse(X0)))),top)) = complement(converse(converse(X0))),
inference(subst,[],[refute_0_3693:[bind(X_335,$fot(converse(X0)))]]) ).
cnf(refute_0_9555,plain,
( converse(converse(X0)) != X0
| join(complement(converse(converse(X0))),composition(complement(converse(composition(top,converse(X0)))),top)) != complement(converse(converse(X0)))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = complement(converse(converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(X0))),composition(complement(converse(composition(top,converse(X0)))),top)),complement(converse(converse(X0)))) ),[0,0,0],$fot(X0)]]) ).
cnf(refute_0_9556,plain,
( join(complement(converse(converse(X0))),composition(complement(converse(composition(top,converse(X0)))),top)) != complement(converse(converse(X0)))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = complement(converse(converse(X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_9555]) ).
cnf(refute_0_9557,plain,
join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = complement(converse(converse(X0))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X0))),composition(complement(converse(composition(top,converse(X0)))),top)),complement(converse(converse(X0)))) )],[refute_0_9554,refute_0_9556]) ).
cnf(refute_0_9558,plain,
join(complement(X0),complement(composition(X0,top))) = complement(meet(X0,composition(X0,top))),
inference(subst,[],[refute_0_1197:[bind(X1,$fot(composition(X0,top)))]]) ).
cnf(refute_0_9559,plain,
complement(converse(composition(top,converse(X0)))) = complement(converse(composition(top,converse(X0)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,converse(X0)))))]]) ).
cnf(refute_0_9560,plain,
( complement(converse(composition(top,converse(X0)))) != complement(converse(composition(top,converse(X0))))
| converse(composition(top,converse(X0))) != composition(X0,top)
| complement(converse(composition(top,converse(X0)))) = complement(composition(X0,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,converse(X0)))),complement(converse(composition(top,converse(X0))))) ),[1,0],$fot(composition(X0,top))]]) ).
cnf(refute_0_9561,plain,
( converse(composition(top,converse(X0))) != composition(X0,top)
| complement(converse(composition(top,converse(X0)))) = complement(composition(X0,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(X0)))),complement(converse(composition(top,converse(X0))))) )],[refute_0_9559,refute_0_9560]) ).
cnf(refute_0_9562,plain,
complement(converse(composition(top,converse(X0)))) = complement(composition(X0,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X0))),composition(X0,top)) )],[refute_0_8516,refute_0_9561]) ).
cnf(refute_0_9563,plain,
composition(complement(converse(composition(top,converse(X0)))),top) = complement(converse(composition(top,converse(X0)))),
inference(subst,[],[refute_0_3760:[bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_9564,plain,
( complement(converse(composition(top,converse(X0)))) != complement(composition(X0,top))
| composition(complement(converse(composition(top,converse(X0)))),top) != complement(converse(composition(top,converse(X0))))
| composition(complement(converse(composition(top,converse(X0)))),top) = complement(composition(X0,top)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(composition(complement(converse(composition(top,converse(X0)))),top))),bind(Y,$fot(complement(converse(composition(top,converse(X0)))))),bind(Z,$fot(complement(composition(X0,top))))]]) ).
cnf(refute_0_9565,plain,
( complement(converse(composition(top,converse(X0)))) != complement(composition(X0,top))
| composition(complement(converse(composition(top,converse(X0)))),top) = complement(composition(X0,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,converse(X0)))),top),complement(converse(composition(top,converse(X0))))) )],[refute_0_9563,refute_0_9564]) ).
cnf(refute_0_9566,plain,
composition(complement(converse(composition(top,converse(X0)))),top) = complement(composition(X0,top)),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(X0)))),complement(composition(X0,top))) )],[refute_0_9562,refute_0_9565]) ).
cnf(refute_0_9567,plain,
join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)),
introduced(tautology,[refl,[$fot(join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)))]]) ).
cnf(refute_0_9568,plain,
( composition(complement(converse(composition(top,converse(X0)))),top) != complement(composition(X0,top))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) != join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = join(complement(X0),complement(composition(X0,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)),join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top))) ),[1,1],$fot(complement(composition(X0,top)))]]) ).
cnf(refute_0_9569,plain,
( composition(complement(converse(composition(top,converse(X0)))),top) != complement(composition(X0,top))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = join(complement(X0),complement(composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)),join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top))) )],[refute_0_9567,refute_0_9568]) ).
cnf(refute_0_9570,plain,
join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = join(complement(X0),complement(composition(X0,top))),
inference(resolve,[$cnf( $equal(composition(complement(converse(composition(top,converse(X0)))),top),complement(composition(X0,top))) )],[refute_0_9566,refute_0_9569]) ).
cnf(refute_0_9571,plain,
( join(complement(X0),complement(composition(X0,top))) != complement(meet(X0,composition(X0,top)))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) != join(complement(X0),complement(composition(X0,top)))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = complement(meet(X0,composition(X0,top))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)))),bind(Y,$fot(join(complement(X0),complement(composition(X0,top))))),bind(Z,$fot(complement(meet(X0,composition(X0,top)))))]]) ).
cnf(refute_0_9572,plain,
( join(complement(X0),complement(composition(X0,top))) != complement(meet(X0,composition(X0,top)))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = complement(meet(X0,composition(X0,top))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)),join(complement(X0),complement(composition(X0,top)))) )],[refute_0_9570,refute_0_9571]) ).
cnf(refute_0_9573,plain,
join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) = complement(meet(X0,composition(X0,top))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(composition(X0,top))),complement(meet(X0,composition(X0,top)))) )],[refute_0_9558,refute_0_9572]) ).
cnf(refute_0_9574,plain,
( join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) != complement(converse(converse(X0)))
| join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) != complement(meet(X0,composition(X0,top)))
| complement(meet(X0,composition(X0,top))) = complement(converse(converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)),complement(converse(converse(X0)))) ),[0],$fot(complement(meet(X0,composition(X0,top))))]]) ).
cnf(refute_0_9575,plain,
( join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) != complement(converse(converse(X0)))
| complement(meet(X0,composition(X0,top))) = complement(converse(converse(X0))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)),complement(meet(X0,composition(X0,top)))) )],[refute_0_9573,refute_0_9574]) ).
cnf(refute_0_9576,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_0_9577,plain,
( complement(converse(converse(X0))) != complement(converse(converse(X0)))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_9578,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_9576,refute_0_9577]) ).
cnf(refute_0_9579,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_59,refute_0_9578]) ).
cnf(refute_0_9580,plain,
( complement(converse(converse(X0))) != complement(X0)
| complement(meet(X0,composition(X0,top))) != complement(converse(converse(X0)))
| complement(meet(X0,composition(X0,top))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X0,composition(X0,top))),complement(converse(converse(X0)))) ),[1],$fot(complement(X0))]]) ).
cnf(refute_0_9581,plain,
( complement(meet(X0,composition(X0,top))) != complement(converse(converse(X0)))
| complement(meet(X0,composition(X0,top))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_9579,refute_0_9580]) ).
cnf(refute_0_9582,plain,
( join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)) != complement(converse(converse(X0)))
| complement(meet(X0,composition(X0,top))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(meet(X0,composition(X0,top))),complement(converse(converse(X0)))) )],[refute_0_9575,refute_0_9581]) ).
cnf(refute_0_9583,plain,
complement(meet(X0,composition(X0,top))) = complement(X0),
inference(resolve,[$cnf( $equal(join(complement(X0),composition(complement(converse(composition(top,converse(X0)))),top)),complement(converse(converse(X0)))) )],[refute_0_9557,refute_0_9582]) ).
cnf(refute_0_9584,plain,
complement(meet(X_341,composition(X_341,top))) = complement(X_341),
inference(subst,[],[refute_0_9583:[bind(X0,$fot(X_341))]]) ).
cnf(refute_0_9585,plain,
( complement(meet(X_341,composition(X_341,top))) != complement(X_341)
| meet(X_341,composition(X_341,top)) != complement(complement(meet(X_341,composition(X_341,top))))
| meet(X_341,composition(X_341,top)) = complement(complement(X_341)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_341,composition(X_341,top)),complement(complement(meet(X_341,composition(X_341,top))))) ),[1,0],$fot(complement(X_341))]]) ).
cnf(refute_0_9586,plain,
( meet(X_341,composition(X_341,top)) != complement(complement(meet(X_341,composition(X_341,top))))
| meet(X_341,composition(X_341,top)) = complement(complement(X_341)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_341,composition(X_341,top))),complement(X_341)) )],[refute_0_9584,refute_0_9585]) ).
cnf(refute_0_9587,plain,
meet(X_341,composition(X_341,top)) = complement(complement(X_341)),
inference(resolve,[$cnf( $equal(meet(X_341,composition(X_341,top)),complement(complement(meet(X_341,composition(X_341,top))))) )],[refute_0_9553,refute_0_9586]) ).
cnf(refute_0_9588,plain,
complement(complement(X_341)) = X_341,
inference(subst,[],[refute_0_303:[bind(X0,$fot(X_341))]]) ).
cnf(refute_0_9589,plain,
( complement(complement(X_341)) != X_341
| meet(X_341,composition(X_341,top)) != complement(complement(X_341))
| meet(X_341,composition(X_341,top)) = X_341 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_341,composition(X_341,top)),complement(complement(X_341))) ),[1],$fot(X_341)]]) ).
cnf(refute_0_9590,plain,
( meet(X_341,composition(X_341,top)) != complement(complement(X_341))
| meet(X_341,composition(X_341,top)) = X_341 ),
inference(resolve,[$cnf( $equal(complement(complement(X_341)),X_341) )],[refute_0_9588,refute_0_9589]) ).
cnf(refute_0_9591,plain,
meet(X_341,composition(X_341,top)) = X_341,
inference(resolve,[$cnf( $equal(meet(X_341,composition(X_341,top)),complement(complement(X_341))) )],[refute_0_9587,refute_0_9590]) ).
cnf(refute_0_9592,plain,
meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_9591:[bind(X_341,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9593,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,meet(complement(X0),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0))))))),
inference(subst,[],[refute_0_6007:[bind(X_217,$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0))))))]]) ).
cnf(refute_0_9594,plain,
meet(complement(X0),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0))))) = zero,
inference(subst,[],[refute_0_9459:[bind(X_973,$fot(complement(X0)))]]) ).
cnf(refute_0_9595,plain,
( meet(complement(X0),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0))))) != zero
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,meet(complement(X0),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,meet(complement(X0),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_9596,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,meet(complement(X0),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(X0),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0))))),zero) )],[refute_0_9594,refute_0_9595]) ).
cnf(refute_0_9597,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,meet(complement(X0),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))))))) )],[refute_0_9593,refute_0_9596]) ).
cnf(refute_0_9598,plain,
complement(meet(one,complement(X0))) = join(complement(one),X0),
inference(subst,[],[refute_0_9437:[bind(X_973,$fot(one)),bind(X_974,$fot(X0))]]) ).
cnf(refute_0_9599,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) = meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))))]]) ).
cnf(refute_0_9600,plain,
( complement(meet(one,complement(X0))) != join(complement(one),X0)
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) != meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0))))
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) = meet(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0))))) ),[1,1],$fot(join(complement(one),X0))]]) ).
cnf(refute_0_9601,plain,
( complement(meet(one,complement(X0))) != join(complement(one),X0)
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) = meet(skolemFOFtoCNF_X0,join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0))))) )],[refute_0_9599,refute_0_9600]) ).
cnf(refute_0_9602,plain,
meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) = meet(skolemFOFtoCNF_X0,join(complement(one),X0)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(X0))),join(complement(one),X0)) )],[refute_0_9598,refute_0_9601]) ).
cnf(refute_0_9603,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))
| meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) != meet(skolemFOFtoCNF_X0,join(complement(one),X0))
| meet(skolemFOFtoCNF_X0,join(complement(one),X0)) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))) ),[0],$fot(meet(skolemFOFtoCNF_X0,join(complement(one),X0)))]]) ).
cnf(refute_0_9604,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))
| meet(skolemFOFtoCNF_X0,join(complement(one),X0)) = meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),meet(skolemFOFtoCNF_X0,join(complement(one),X0))) )],[refute_0_9602,refute_0_9603]) ).
cnf(refute_0_9605,plain,
complement(complement(X0)) = meet(complement(complement(X0)),join(X_223,complement(complement(X0)))),
inference(subst,[],[refute_0_3472:[bind(X_213,$fot(complement(X0))),bind(X_65,$fot(X_223))]]) ).
cnf(refute_0_9606,plain,
( complement(complement(X0)) != X0
| complement(complement(X0)) != meet(complement(complement(X0)),join(X_223,complement(complement(X0))))
| complement(complement(X0)) = meet(complement(complement(X0)),join(X_223,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),join(X_223,complement(complement(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_9607,plain,
( complement(complement(X0)) != meet(complement(complement(X0)),join(X_223,complement(complement(X0))))
| complement(complement(X0)) = meet(complement(complement(X0)),join(X_223,X0)) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_9606]) ).
cnf(refute_0_9608,plain,
complement(complement(X0)) = meet(complement(complement(X0)),join(X_223,X0)),
inference(resolve,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),join(X_223,complement(complement(X0))))) )],[refute_0_9605,refute_0_9607]) ).
cnf(refute_0_9609,plain,
( complement(complement(X0)) != X0
| complement(complement(X0)) != meet(complement(complement(X0)),join(X_223,X0))
| X0 = meet(complement(complement(X0)),join(X_223,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),join(X_223,X0))) ),[0],$fot(X0)]]) ).
cnf(refute_0_9610,plain,
( complement(complement(X0)) != meet(complement(complement(X0)),join(X_223,X0))
| X0 = meet(complement(complement(X0)),join(X_223,X0)) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_9609]) ).
cnf(refute_0_9611,plain,
meet(complement(complement(X0)),join(X_223,X0)) = meet(complement(complement(X0)),join(X_223,X0)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X0)),join(X_223,X0)))]]) ).
cnf(refute_0_9612,plain,
( complement(complement(X0)) != X0
| meet(complement(complement(X0)),join(X_223,X0)) != meet(complement(complement(X0)),join(X_223,X0))
| meet(complement(complement(X0)),join(X_223,X0)) = meet(X0,join(X_223,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X0)),join(X_223,X0)),meet(complement(complement(X0)),join(X_223,X0))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_9613,plain,
( complement(complement(X0)) != X0
| meet(complement(complement(X0)),join(X_223,X0)) = meet(X0,join(X_223,X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X0)),join(X_223,X0)),meet(complement(complement(X0)),join(X_223,X0))) )],[refute_0_9611,refute_0_9612]) ).
cnf(refute_0_9614,plain,
meet(complement(complement(X0)),join(X_223,X0)) = meet(X0,join(X_223,X0)),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_303,refute_0_9613]) ).
cnf(refute_0_9615,plain,
( X0 != meet(complement(complement(X0)),join(X_223,X0))
| meet(complement(complement(X0)),join(X_223,X0)) != meet(X0,join(X_223,X0))
| X0 = meet(X0,join(X_223,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,join(X_223,X0))) ),[0],$fot(meet(complement(complement(X0)),join(X_223,X0)))]]) ).
cnf(refute_0_9616,plain,
( X0 != meet(complement(complement(X0)),join(X_223,X0))
| X0 = meet(X0,join(X_223,X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X0)),join(X_223,X0)),meet(X0,join(X_223,X0))) )],[refute_0_9614,refute_0_9615]) ).
cnf(refute_0_9617,plain,
( complement(complement(X0)) != meet(complement(complement(X0)),join(X_223,X0))
| X0 = meet(X0,join(X_223,X0)) ),
inference(resolve,[$cnf( $equal(X0,meet(complement(complement(X0)),join(X_223,X0))) )],[refute_0_9610,refute_0_9616]) ).
cnf(refute_0_9618,plain,
X0 = meet(X0,join(X_223,X0)),
inference(resolve,[$cnf( $equal(complement(complement(X0)),meet(complement(complement(X0)),join(X_223,X0))) )],[refute_0_9608,refute_0_9617]) ).
cnf(refute_0_9619,plain,
( X0 != meet(X0,join(X_223,X0))
| meet(X0,join(X_223,X0)) = X0 ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X0)),bind(Y,$fot(meet(X0,join(X_223,X0))))]]) ).
cnf(refute_0_9620,plain,
meet(X0,join(X_223,X0)) = X0,
inference(resolve,[$cnf( $equal(X0,meet(X0,join(X_223,X0))) )],[refute_0_9618,refute_0_9619]) ).
cnf(refute_0_9621,plain,
meet(X0,join(complement(one),X0)) = X0,
inference(subst,[],[refute_0_9620:[bind(X_223,$fot(complement(one)))]]) ).
cnf(refute_0_9622,plain,
meet(X0,complement(meet(one,complement(X0)))) = meet(X0,complement(meet(one,complement(X0)))),
introduced(tautology,[refl,[$fot(meet(X0,complement(meet(one,complement(X0)))))]]) ).
cnf(refute_0_9623,plain,
( complement(meet(one,complement(X0))) != join(complement(one),X0)
| meet(X0,complement(meet(one,complement(X0)))) != meet(X0,complement(meet(one,complement(X0))))
| meet(X0,complement(meet(one,complement(X0)))) = meet(X0,join(complement(one),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(meet(one,complement(X0)))),meet(X0,complement(meet(one,complement(X0))))) ),[1,1],$fot(join(complement(one),X0))]]) ).
cnf(refute_0_9624,plain,
( complement(meet(one,complement(X0))) != join(complement(one),X0)
| meet(X0,complement(meet(one,complement(X0)))) = meet(X0,join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(one,complement(X0)))),meet(X0,complement(meet(one,complement(X0))))) )],[refute_0_9622,refute_0_9623]) ).
cnf(refute_0_9625,plain,
meet(X0,complement(meet(one,complement(X0)))) = meet(X0,join(complement(one),X0)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(X0))),join(complement(one),X0)) )],[refute_0_9598,refute_0_9624]) ).
cnf(refute_0_9626,plain,
join(X0,zero) = X0,
inference(subst,[],[refute_0_571:[bind(X_66,$fot(X0))]]) ).
cnf(refute_0_9627,plain,
meet(join(X0,zero),complement(meet(one,complement(X0)))) = meet(join(X0,zero),complement(meet(one,complement(X0)))),
introduced(tautology,[refl,[$fot(meet(join(X0,zero),complement(meet(one,complement(X0)))))]]) ).
cnf(refute_0_9628,plain,
( join(X0,zero) != X0
| meet(join(X0,zero),complement(meet(one,complement(X0)))) != meet(join(X0,zero),complement(meet(one,complement(X0))))
| meet(join(X0,zero),complement(meet(one,complement(X0)))) = meet(X0,complement(meet(one,complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X0,zero),complement(meet(one,complement(X0)))),meet(join(X0,zero),complement(meet(one,complement(X0))))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_9629,plain,
( join(X0,zero) != X0
| meet(join(X0,zero),complement(meet(one,complement(X0)))) = meet(X0,complement(meet(one,complement(X0)))) ),
inference(resolve,[$cnf( $equal(meet(join(X0,zero),complement(meet(one,complement(X0)))),meet(join(X0,zero),complement(meet(one,complement(X0))))) )],[refute_0_9627,refute_0_9628]) ).
cnf(refute_0_9630,plain,
meet(join(X0,zero),complement(meet(one,complement(X0)))) = meet(X0,complement(meet(one,complement(X0)))),
inference(resolve,[$cnf( $equal(join(X0,zero),X0) )],[refute_0_9626,refute_0_9629]) ).
cnf(refute_0_9631,plain,
( meet(X0,complement(meet(one,complement(X0)))) != meet(X0,join(complement(one),X0))
| meet(join(X0,zero),complement(meet(one,complement(X0)))) != meet(X0,complement(meet(one,complement(X0))))
| meet(join(X0,zero),complement(meet(one,complement(X0)))) = meet(X0,join(complement(one),X0)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X0,zero),complement(meet(one,complement(X0)))))),bind(Y,$fot(meet(X0,complement(meet(one,complement(X0)))))),bind(Z,$fot(meet(X0,join(complement(one),X0))))]]) ).
cnf(refute_0_9632,plain,
( meet(X0,complement(meet(one,complement(X0)))) != meet(X0,join(complement(one),X0))
| meet(join(X0,zero),complement(meet(one,complement(X0)))) = meet(X0,join(complement(one),X0)) ),
inference(resolve,[$cnf( $equal(meet(join(X0,zero),complement(meet(one,complement(X0)))),meet(X0,complement(meet(one,complement(X0))))) )],[refute_0_9630,refute_0_9631]) ).
cnf(refute_0_9633,plain,
meet(join(X0,zero),complement(meet(one,complement(X0)))) = meet(X0,join(complement(one),X0)),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(one,complement(X0)))),meet(X0,join(complement(one),X0))) )],[refute_0_9625,refute_0_9632]) ).
cnf(refute_0_9634,plain,
( meet(X0,join(complement(one),X0)) != X0
| meet(join(X0,zero),complement(meet(one,complement(X0)))) != meet(X0,join(complement(one),X0))
| meet(join(X0,zero),complement(meet(one,complement(X0)))) = X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(join(X0,zero),complement(meet(one,complement(X0)))))),bind(Y,$fot(meet(X0,join(complement(one),X0)))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_9635,plain,
( meet(X0,join(complement(one),X0)) != X0
| meet(join(X0,zero),complement(meet(one,complement(X0)))) = X0 ),
inference(resolve,[$cnf( $equal(meet(join(X0,zero),complement(meet(one,complement(X0)))),meet(X0,join(complement(one),X0))) )],[refute_0_9633,refute_0_9634]) ).
cnf(refute_0_9636,plain,
meet(join(X0,zero),complement(meet(one,complement(X0)))) = X0,
inference(resolve,[$cnf( $equal(meet(X0,join(complement(one),X0)),X0) )],[refute_0_9621,refute_0_9635]) ).
cnf(refute_0_9637,plain,
meet(complement(meet(one,complement(X0))),join(X0,zero)) = meet(join(X0,zero),complement(meet(one,complement(X0)))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(join(X0,zero))),bind(X_25,$fot(complement(meet(one,complement(X0)))))]]) ).
cnf(refute_0_9638,plain,
( meet(complement(meet(one,complement(X0))),join(X0,zero)) != meet(join(X0,zero),complement(meet(one,complement(X0))))
| meet(join(X0,zero),complement(meet(one,complement(X0)))) != X0
| meet(complement(meet(one,complement(X0))),join(X0,zero)) = X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(complement(meet(one,complement(X0))),join(X0,zero)))),bind(Y,$fot(meet(join(X0,zero),complement(meet(one,complement(X0)))))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_9639,plain,
( meet(join(X0,zero),complement(meet(one,complement(X0)))) != X0
| meet(complement(meet(one,complement(X0))),join(X0,zero)) = X0 ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(X0))),join(X0,zero)),meet(join(X0,zero),complement(meet(one,complement(X0))))) )],[refute_0_9637,refute_0_9638]) ).
cnf(refute_0_9640,plain,
meet(complement(meet(one,complement(X0))),join(X0,zero)) = X0,
inference(resolve,[$cnf( $equal(meet(join(X0,zero),complement(meet(one,complement(X0)))),X0) )],[refute_0_9636,refute_0_9639]) ).
cnf(refute_0_9641,plain,
meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))) = meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))),
introduced(tautology,[refl,[$fot(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))))]]) ).
cnf(refute_0_9642,plain,
( meet(complement(meet(one,complement(X0))),join(X0,zero)) != X0
| meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))) != meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero)))
| meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))) = meet(skolemFOFtoCNF_X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))),meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_9643,plain,
( meet(complement(meet(one,complement(X0))),join(X0,zero)) != X0
| meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))) = meet(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))),meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero)))) )],[refute_0_9641,refute_0_9642]) ).
cnf(refute_0_9644,plain,
meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))) = meet(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(X0))),join(X0,zero)),X0) )],[refute_0_9640,refute_0_9643]) ).
cnf(refute_0_9645,plain,
meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) = meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))),
inference(subst,[],[refute_0_9526:[bind(X1,$fot(join(X0,zero))),bind(X_27,$fot(meet(one,complement(X0)))),bind(X_973,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9646,plain,
( meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) != meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero)))
| meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))) != meet(skolemFOFtoCNF_X0,X0)
| meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) = meet(skolemFOFtoCNF_X0,X0) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))))),bind(Z,$fot(meet(skolemFOFtoCNF_X0,X0)))]]) ).
cnf(refute_0_9647,plain,
( meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))) != meet(skolemFOFtoCNF_X0,X0)
| meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) = meet(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)),meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero)))) )],[refute_0_9645,refute_0_9646]) ).
cnf(refute_0_9648,plain,
meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) = meet(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,meet(complement(meet(one,complement(X0))),join(X0,zero))),meet(skolemFOFtoCNF_X0,X0)) )],[refute_0_9644,refute_0_9647]) ).
cnf(refute_0_9649,plain,
( meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)) != meet(skolemFOFtoCNF_X0,X0)
| meet(skolemFOFtoCNF_X0,join(complement(one),X0)) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))
| meet(skolemFOFtoCNF_X0,join(complement(one),X0)) = meet(skolemFOFtoCNF_X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),X0)),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))) ),[1],$fot(meet(skolemFOFtoCNF_X0,X0))]]) ).
cnf(refute_0_9650,plain,
( meet(skolemFOFtoCNF_X0,join(complement(one),X0)) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))
| meet(skolemFOFtoCNF_X0,join(complement(one),X0)) = meet(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero)),meet(skolemFOFtoCNF_X0,X0)) )],[refute_0_9648,refute_0_9649]) ).
cnf(refute_0_9651,plain,
( meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))) != meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))
| meet(skolemFOFtoCNF_X0,join(complement(one),X0)) = meet(skolemFOFtoCNF_X0,X0) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),X0)),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))) )],[refute_0_9604,refute_0_9650]) ).
cnf(refute_0_9652,plain,
meet(skolemFOFtoCNF_X0,join(complement(one),X0)) = meet(skolemFOFtoCNF_X0,X0),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),meet(meet(skolemFOFtoCNF_X0,complement(meet(one,complement(X0)))),join(X0,zero))) )],[refute_0_9597,refute_0_9651]) ).
cnf(refute_0_9653,plain,
meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_9652:[bind(X0,$fot(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_9654,plain,
( meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != skolemFOFtoCNF_X0
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) != meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))),bind(Y,$fot(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)))),bind(Z,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9655,plain,
( meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)) != skolemFOFtoCNF_X0
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0 ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top))) )],[refute_0_9653,refute_0_9654]) ).
cnf(refute_0_9656,plain,
meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,composition(skolemFOFtoCNF_X0,top)),skolemFOFtoCNF_X0) )],[refute_0_9592,refute_0_9655]) ).
cnf(refute_0_9657,plain,
join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) = join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9658,plain,
( join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) != join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))
| meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) != skolemFOFtoCNF_X0
| join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) = join(complement(one),skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))),join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_9659,plain,
( meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))) != skolemFOFtoCNF_X0
| join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) = join(complement(one),skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))),join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9657,refute_0_9658]) ).
cnf(refute_0_9660,plain,
join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) = join(complement(one),skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))),skolemFOFtoCNF_X0) )],[refute_0_9656,refute_0_9659]) ).
cnf(refute_0_9661,plain,
( join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) != join(complement(one),skolemFOFtoCNF_X0)
| join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))))),bind(Y,$fot(join(complement(one),skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,complement(one))))]]) ).
cnf(refute_0_9662,plain,
( join(complement(one),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))),join(complement(one),skolemFOFtoCNF_X0)) )],[refute_0_9660,refute_0_9661]) ).
cnf(refute_0_9663,plain,
join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_4443,refute_0_9662]) ).
cnf(refute_0_9664,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,top)) != join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))
| join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))) != join(skolemFOFtoCNF_X0,complement(one))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = join(skolemFOFtoCNF_X0,complement(one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(one),composition(skolemFOFtoCNF_X0,top)),join(skolemFOFtoCNF_X0,complement(one))) ),[0],$fot(join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))))]]) ).
cnf(refute_0_9665,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,top)) != join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))
| join(complement(one),composition(skolemFOFtoCNF_X0,top)) = join(skolemFOFtoCNF_X0,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top)))),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_9663,refute_0_9664]) ).
cnf(refute_0_9666,plain,
join(complement(one),composition(skolemFOFtoCNF_X0,top)) = join(skolemFOFtoCNF_X0,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,top)),join(complement(one),meet(skolemFOFtoCNF_X0,join(complement(one),composition(skolemFOFtoCNF_X0,top))))) )],[refute_0_9552,refute_0_9665]) ).
cnf(refute_0_9667,plain,
( join(complement(one),composition(skolemFOFtoCNF_X0,top)) != join(skolemFOFtoCNF_X0,complement(one))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != complement(join(complement(one),composition(skolemFOFtoCNF_X0,top)))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(join(complement(one),composition(skolemFOFtoCNF_X0,top)))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,complement(one)))]]) ).
cnf(refute_0_9668,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != complement(join(complement(one),composition(skolemFOFtoCNF_X0,top)))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = complement(join(skolemFOFtoCNF_X0,complement(one))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(skolemFOFtoCNF_X0,top)),join(skolemFOFtoCNF_X0,complement(one))) )],[refute_0_9666,refute_0_9667]) ).
cnf(refute_0_9669,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = complement(join(skolemFOFtoCNF_X0,complement(one))),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(join(complement(one),composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_329,refute_0_9668]) ).
cnf(refute_0_9670,plain,
( complement(join(skolemFOFtoCNF_X0,complement(one))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(join(skolemFOFtoCNF_X0,complement(one)))) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9671,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != complement(join(skolemFOFtoCNF_X0,complement(one)))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(complement(join(skolemFOFtoCNF_X0,complement(one))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_4173,refute_0_9670]) ).
cnf(refute_0_9672,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),complement(join(skolemFOFtoCNF_X0,complement(one)))) )],[refute_0_9669,refute_0_9671]) ).
cnf(refute_0_9673,plain,
meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(complement(skolemFOFtoCNF_X0),one),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_9674,plain,
meet(complement(composition(skolemFOFtoCNF_X0,top)),one) = meet(one,complement(composition(skolemFOFtoCNF_X0,top))),
inference(subst,[],[refute_0_354:[bind(X_24,$fot(one)),bind(X_25,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_9675,plain,
( meet(complement(composition(skolemFOFtoCNF_X0,top)),one) != meet(one,complement(composition(skolemFOFtoCNF_X0,top)))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(complement(skolemFOFtoCNF_X0),one)
| meet(complement(composition(skolemFOFtoCNF_X0,top)),one) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$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_9676,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( $equal(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(one,complement(composition(skolemFOFtoCNF_X0,top)))) )],[refute_0_9674,refute_0_9675]) ).
cnf(refute_0_9677,plain,
( meet(complement(skolemFOFtoCNF_X0),one) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(one,complement(composition(skolemFOFtoCNF_X0,top))) = meet(complement(skolemFOFtoCNF_X0),one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(skolemFOFtoCNF_X0),one)) ),[1],$fot(meet(one,complement(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_9678,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( $equal(meet(complement(skolemFOFtoCNF_X0),one),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_3281,refute_0_9677]) ).
cnf(refute_0_9679,plain,
( meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0))
| meet(complement(composition(skolemFOFtoCNF_X0,top)),one) = meet(complement(skolemFOFtoCNF_X0),one) ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_9678,refute_0_9676]) ).
cnf(refute_0_9680,plain,
meet(one,complement(composition(skolemFOFtoCNF_X0,top))) != meet(one,complement(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(meet(complement(composition(skolemFOFtoCNF_X0,top)),one),meet(complement(skolemFOFtoCNF_X0),one)) )],[refute_0_9679,refute_0_9673]) ).
cnf(refute_0_9681,plain,
$false,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(skolemFOFtoCNF_X0,top))),meet(one,complement(skolemFOFtoCNF_X0))) )],[refute_0_9672,refute_0_9680]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : REL027+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 10:53:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 114.78/114.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 114.78/114.98
% 114.78/114.98 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 116.34/116.59
%------------------------------------------------------------------------------